RubiTestCases.java

// {Sqrt[1 + 2*x], x, 1, (1 + 2*x)^(3/2)/3}
public void test00001() {
	check("Integrate[Sqrt[1 + 2*x], x]", "(1 + 2*x)^(3/2)/3");

}

// {(1 + x)/(2 + 2*x + x^2)^3, x, 1, -1/(4*(2 + 2*x + x^2)^2)}
public void test00002() {
	check("Integrate[(1 + x)/(2 + 2*x + x^2)^3, x]", "-1/(4*(2 + 2*x + x^2)^2)");

}

// {x^5/Sqrt[1 - x^6], x, 1, -Sqrt[1 - x^6]/3}
public void test00003() {
	check("Integrate[x^5/Sqrt[1 - x^6], x]", "-Sqrt[1 - x^6]/3");

}

// {(1 + x^2)^(-3/2), x, 1, x/Sqrt[1 + x^2]}
public void test00004() {
	check("Integrate[(1 + x^2)^(-3/2), x]", "x/Sqrt[1 + x^2]");

}

// {x^2*(27 + 8*x^3)^(2/3), x, 1, (27 + 8*x^3)^(5/3)/40}
public void test00005() {
	check("Integrate[x^2*(27 + 8*x^3)^(2/3), x]", "(27 + 8*x^3)^(5/3)/40");

}

// {(Cos[x] + Sin[x])/(-Cos[x] + Sin[x])^(1/3), x, 1, (3*(-Cos[x] + Sin[x])^(2/3))/2}
public void test00006() {
	check("Integrate[(Cos[x] + Sin[x])/(-Cos[x] + Sin[x])^(1/3), x]", "(3*(-Cos[x] + Sin[x])^(2/3))/2");

}

// {x/(Sqrt[1 + x^2]*Sqrt[1 + Sqrt[1 + x^2]]), x, 1, 2*Sqrt[1 + Sqrt[1 + x^2]]}
public void test00007() {
	check("Integrate[x/(Sqrt[1 + x^2]*Sqrt[1 + Sqrt[1 + x^2]]), x]", "2*Sqrt[1 + Sqrt[1 + x^2]]");

}

// {x*Sqrt[1 + x^2], x, 1, (1 + x^2)^(3/2)/3}
public void test00008() {
	check("Integrate[x*Sqrt[1 + x^2], x]", "(1 + x^2)^(3/2)/3");

}

// {x*(-1 + x^2)^9, x, 1, (1 - x^2)^10/20}
public void test00009() {
	check("Integrate[x*(-1 + x^2)^9, x]", "(1 - x^2)^10/20");

}

// {(3 + 2*x)/(7 + 6*x)^3, x, 1, -(3 + 2*x)^2/(8*(7 + 6*x)^2)}
public void test00010() {
	check("Integrate[(3 + 2*x)/(7 + 6*x)^3, x]", "-(3 + 2*x)^2/(8*(7 + 6*x)^2)");

}

// {x^4*(1 + x^5)^5, x, 1, (1 + x^5)^6/30}
public void test00011() {
	check("Integrate[x^4*(1 + x^5)^5, x]", "(1 + x^5)^6/30");

}

// {x*Cos[x^2]*Sin[x^2], x, 1, Sin[x^2]^2/4}
public void test00012() {
	check("Integrate[x*Cos[x^2]*Sin[x^2], x]", "Sin[x^2]^2/4");

}

// {(2 + 3*x)^(-1), x, 1, Log[2 + 3*x]/3}
public void test00013() {
	check("Integrate[(2 + 3*x)^(-1), x]", "Log[2 + 3*x]/3");

}

// {x*Log[x], x, 1, -x^2/4 + (x^2*Log[x])/2}
public void test00014() {
	check("Integrate[x*Log[x], x]", "-x^2/4 + (x^2*Log[x])/2");

}

// {(1 + t)^(-1), t, 1, Log[1 + t]}
public void test00015() {
	check("Integrate[(1 + t)^(-1), t]", "Log[1 + t]");

}

// {Cot[x], x, 1, Log[Sin[x]]}
public void test00016() {
	check("Integrate[Cot[x], x]", "Log[Sin[x]]");

}

// {x^n*Log[a*x], x, 1, -(x^(1 + n)/(1 + n)^2) + (x^(1 + n)*Log[a*x])/(1 + n)}
public void test00017() {
	check("Integrate[x^n*Log[a*x], x]", "-(x^(1 + n)/(1 + n)^2) + (x^(1 + n)*Log[a*x])/(1 + n)");

}

// {E^x^3*x^2, x, 1, E^x^3/3}
public void test00018() {
	check("Integrate[E^x^3*x^2, x]", "E^x^3/3");

}

// {2^Sqrt[x]/Sqrt[x], x, 1, 2^(1 + Sqrt[x])/Log[2]}
public void test00019() {
	check("Integrate[2^Sqrt[x]/Sqrt[x], x]", "2^(1 + Sqrt[x])/Log[2]");

}

// {E^x*Sin[x], x, 1, -(E^x*Cos[x])/2 + (E^x*Sin[x])/2}
public void test00020() {
	check("Integrate[E^x*Sin[x], x]", "-(E^x*Cos[x])/2 + (E^x*Sin[x])/2");

}

// {E^x*Cos[x], x, 1, (E^x*Cos[x])/2 + (E^x*Sin[x])/2}
public void test00021() {
	check("Integrate[E^x*Cos[x], x]", "(E^x*Cos[x])/2 + (E^x*Sin[x])/2");

}

// {E^(a*x)*Cos[b*x], x, 1, (a*E^(a*x)*Cos[b*x])/(a^2 + b^2) + (b*E^(a*x)*Sin[b*x])/(a^2 + b^2)}
public void test00022() {
	check("Integrate[E^(a*x)*Cos[b*x], x]", "(a*E^(a*x)*Cos[b*x])/(a^2 + b^2) + (b*E^(a*x)*Sin[b*x])/(a^2 + b^2)");

}

// {E^(a*x)*Sin[b*x], x, 1, -((b*E^(a*x)*Cos[b*x])/(a^2 + b^2)) + (a*E^(a*x)*Sin[b*x])/(a^2 + b^2)}
public void test00023() {
	check("Integrate[E^(a*x)*Sin[b*x], x]", "-((b*E^(a*x)*Cos[b*x])/(a^2 + b^2)) + (a*E^(a*x)*Sin[b*x])/(a^2 + b^2)");

}

// {(a^2 + x^2)^(-1), x, 1, ArcTan[x/a]/a}
public void test00024() {
	check("Integrate[(a^2 + x^2)^(-1), x]", "ArcTan[x/a]/a");

}

// {(a + b*x^2)^(-1), x, 1, ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])}
public void test00025() {
	check("Integrate[(a + b*x^2)^(-1), x]", "ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])");

}

// {ArcTan[Sqrt[x]]/(Sqrt[x]*(1 + x)), x, 1, ArcTan[Sqrt[x]]^2}
public void test00026() {
	check("Integrate[ArcTan[Sqrt[x]]/(Sqrt[x]*(1 + x)), x]", "ArcTan[Sqrt[x]]^2");

}

// {(E^ArcTan[x]*x)/(1 + x^2)^(3/2), x, 1, -(E^ArcTan[x]*(1 - x))/(2*Sqrt[1 + x^2])}
public void test00027() {
	check("Integrate[(E^ArcTan[x]*x)/(1 + x^2)^(3/2), x]", "-(E^ArcTan[x]*(1 - x))/(2*Sqrt[1 + x^2])");

}

// {E^ArcTan[x]/(1 + x^2)^(3/2), x, 1, (E^ArcTan[x]*(1 + x))/(2*Sqrt[1 + x^2])}
public void test00028() {
	check("Integrate[E^ArcTan[x]/(1 + x^2)^(3/2), x]", "(E^ArcTan[x]*(1 + x))/(2*Sqrt[1 + x^2])");

}

// {(-1 + 4*x^5)/(1 + x + x^5)^2, x, 1, -(x/(1 + x + x^5))}
public void test00029() {
	check("Integrate[(-1 + 4*x^5)/(1 + x + x^5)^2, x]", "-(x/(1 + x + x^5))");

}

// {(1 + Cos[x]/2)^(-1), x, 1, (2*x)/Sqrt[3] - (4*ArcTan[Sin[x]/(2 + Sqrt[3] + Cos[x])])/Sqrt[3]}
public void test00030() {
	check("Integrate[(1 + Cos[x]/2)^(-1), x]", "(2*x)/Sqrt[3] - (4*ArcTan[Sin[x]/(2 + Sqrt[3] + Cos[x])])/Sqrt[3]");

}

// {(b*Cos[x] + a*Sin[x])^(-2), x, 1, Sin[x]/(b*(b*Cos[x] + a*Sin[x]))}
public void test00031() {
	check("Integrate[(b*Cos[x] + a*Sin[x])^(-2), x]", "Sin[x]/(b*(b*Cos[x] + a*Sin[x]))");

}

// {x/Sqrt[3 - x^2], x, 1, -Sqrt[3 - x^2]}
public void test00032() {
	check("Integrate[x/Sqrt[3 - x^2], x]", "-Sqrt[3 - x^2]");

}

// {E^t/t, t, 1, ExpIntegralEi[t]}
public void test00033() {
	check("Integrate[E^t/t, t]", "ExpIntegralEi[t]");

}

// {E^(a*t)/t, t, 1, ExpIntegralEi[a*t]}
public void test00034() {
	check("Integrate[E^(a*t)/t, t]", "ExpIntegralEi[a*t]");

}

// {1/(E^t*(-1 - a + t)), t, 1, E^(-1 - a)*ExpIntegralEi[1 + a - t]}
public void test00035() {
	check("Integrate[1/(E^t*(-1 - a + t)), t]", "E^(-1 - a)*ExpIntegralEi[1 + a - t]");

}

// {(b1*Cos[x] + a1*Sin[x])/(b*Cos[x] + a*Sin[x]), x, 1, ((a*a1 + b*b1)*x)/(a^2 + b^2) - ((a1*b - a*b1)*Log[b*Cos[x] + a*Sin[x]])/(a^2 + b^2)}
public void test00036() {
	check("Integrate[(b1*Cos[x] + a1*Sin[x])/(b*Cos[x] + a*Sin[x]), x]", "((a*a1 + b*b1)*x)/(a^2 + b^2) - ((a1*b - a*b1)*Log[b*Cos[x] + a*Sin[x]])/(a^2 + b^2)");

}

// {Log[t]^(-1), t, 1, LogIntegral[t]}
public void test00037() {
	check("Integrate[Log[t]^(-1), t]", "LogIntegral[t]");

}

// {E^(2*t)/(-1 + t), t, 1, E^2*ExpIntegralEi[-2*(1 - t)]}
public void test00038() {
	check("Integrate[E^(2*t)/(-1 + t), t]", "E^2*ExpIntegralEi[-2*(1 - t)]");

}

// {1/Sqrt[1 + t^3], t, 1, (2*Sqrt[2 + Sqrt[3]]*(1 + t)*Sqrt[(1 - t + t^2)/(1 + Sqrt[3] + t)^2]*EllipticF[ArcSin[(1 - Sqrt[3] + t)/(1 + Sqrt[3] + t)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 + t)/(1 + Sqrt[3] + t)^2]*Sqrt[1 + t^3])}
public void test00039() {
	check("Integrate[1/Sqrt[1 + t^3], t]", "(2*Sqrt[2 + Sqrt[3]]*(1 + t)*Sqrt[(1 - t + t^2)/(1 + Sqrt[3] + t)^2]*EllipticF[ArcSin[(1 - Sqrt[3] + t)/(1 + Sqrt[3] + t)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 + t)/(1 + Sqrt[3] + t)^2]*Sqrt[1 + t^3])");

}

// {(Sqrt[2] + Cos[z] + Sin[z])^(-1), z, 1, -((1 - Sqrt[2]*Sin[z])/(Cos[z] - Sin[z]))}
public void test00040() {
	check("Integrate[(Sqrt[2] + Cos[z] + Sin[z])^(-1), z]", "-((1 - Sqrt[2]*Sin[z])/(Cos[z] - Sin[z]))");

}

// {(1 + x^2)^(-1), x, 1, ArcTan[x]}
public void test00041() {
	check("Integrate[(1 + x^2)^(-1), x]", "ArcTan[x]");

}

// {Sin[x]/x, x, 1, SinIntegral[x]}
public void test00042() {
	check("Integrate[Sin[x]/x, x]", "SinIntegral[x]");

}

// {(6 - 3*x^2 + x^4)/(4 + 5*x^2 - 5*x^4 + x^6), x, 1, -ArcTan[Sqrt[3] - 2*x] + ArcTan[Sqrt[3] + 2*x] + ArcTan[(x*(1 - 3*x^2 + x^4))/2]}
public void test00043() {
	check("Integrate[(6 - 3*x^2 + x^4)/(4 + 5*x^2 - 5*x^4 + x^6), x]", "-ArcTan[Sqrt[3] - 2*x] + ArcTan[Sqrt[3] + 2*x] + ArcTan[(x*(1 - 3*x^2 + x^4))/2]");

}

// {1 + x + x^2, x, 1, x + x^2/2 + x^3/3}
public void test00044() {
	check("Integrate[1 + x + x^2, x]", "x + x^2/2 + x^3/3");

}

// {x^(-1), x, 1, Log[x]}
public void test00045() {
	check("Integrate[x^(-1), x]", "Log[x]");

}

// {(a + b*x)^p, x, 1, (a + b*x)^(1 + p)/(b*(1 + p))}
public void test00046() {
	check("Integrate[(a + b*x)^p, x]", "(a + b*x)^(1 + p)/(b*(1 + p))");

}

// {(a + b*x)^(-1), x, 1, Log[a + b*x]/b}
public void test00047() {
	check("Integrate[(a + b*x)^(-1), x]", "Log[a + b*x]/b");

}

// {(a + b*x)^(-2), x, 1, -(1/(b*(a + b*x)))}
public void test00048() {
	check("Integrate[(a + b*x)^(-2), x]", "-(1/(b*(a + b*x)))");

}

// {(c^2 + x^2)^(-1), x, 1, ArcTan[x/c]/c}
public void test00049() {
	check("Integrate[(c^2 + x^2)^(-1), x]", "ArcTan[x/c]/c");

}

// {(c^2 - x^2)^(-1), x, 1, ArcTanh[x/c]/c}
public void test00050() {
	check("Integrate[(c^2 - x^2)^(-1), x]", "ArcTanh[x/c]/c");

}

// {Log[x], x, 1, -x + x*Log[x]}
public void test00051() {
	check("Integrate[Log[x], x]", "-x + x*Log[x]");

}

// {x*Log[x], x, 1, -x^2/4 + (x^2*Log[x])/2}
public void test00052() {
	check("Integrate[x*Log[x], x]", "-x^2/4 + (x^2*Log[x])/2");

}

// {x^2*Log[x], x, 1, -x^3/9 + (x^3*Log[x])/3}
public void test00053() {
	check("Integrate[x^2*Log[x], x]", "-x^3/9 + (x^3*Log[x])/3");

}

// {x^p*Log[x], x, 1, -(x^(1 + p)/(1 + p)^2) + (x^(1 + p)*Log[x])/(1 + p)}
public void test00054() {
	check("Integrate[x^p*Log[x], x]", "-(x^(1 + p)/(1 + p)^2) + (x^(1 + p)*Log[x])/(1 + p)");

}

// {Log[x]^(-1), x, 1, LogIntegral[x]}
public void test00055() {
	check("Integrate[Log[x]^(-1), x]", "LogIntegral[x]");

}

// {Sin[x], x, 1, -Cos[x]}
public void test00056() {
	check("Integrate[Sin[x], x]", "-Cos[x]");

}

// {Cos[x], x, 1, Sin[x]}
public void test00057() {
	check("Integrate[Cos[x], x]", "Sin[x]");

}

// {Tan[x], x, 1, -Log[Cos[x]]}
public void test00058() {
	check("Integrate[Tan[x], x]", "-Log[Cos[x]]");

}

// {Cot[x], x, 1, Log[Sin[x]]}
public void test00059() {
	check("Integrate[Cot[x], x]", "Log[Sin[x]]");

}

// {Sec[x], x, 1, ArcTanh[Sin[x]]}
public void test00060() {
	check("Integrate[Sec[x], x]", "ArcTanh[Sin[x]]");

}

// {Csc[x], x, 1, -ArcTanh[Cos[x]]}
public void test00061() {
	check("Integrate[Csc[x], x]", "-ArcTanh[Cos[x]]");

}

// {Sin[x]^p, x, 1, (Cos[x]*Hypergeometric2F1[1/2, (1 + p)/2, (3 + p)/2, Sin[x]^2]*Sin[x]^(1 + p))/((1 + p)*Sqrt[Cos[x]^2])}
public void test00062() {
	check("Integrate[Sin[x]^p, x]", "(Cos[x]*Hypergeometric2F1[1/2, (1 + p)/2, (3 + p)/2, Sin[x]^2]*Sin[x]^(1 + p))/((1 + p)*Sqrt[Cos[x]^2])");

}

// {Sin[x]*Sin[2*x], x, 1, Sin[x]/2 - Sin[3*x]/6}
public void test00063() {
	check("Integrate[Sin[x]*Sin[2*x], x]", "Sin[x]/2 - Sin[3*x]/6");

}

// {Sin[x]/x, x, 1, SinIntegral[x]}
public void test00064() {
	check("Integrate[Sin[x]/x, x]", "SinIntegral[x]");

}

// {Cos[x]/x, x, 1, CosIntegral[x]}
public void test00065() {
	check("Integrate[Cos[x]/x, x]", "CosIntegral[x]");

}

// {Sin[a + b*x], x, 1, -(Cos[a + b*x]/b)}
public void test00066() {
	check("Integrate[Sin[a + b*x], x]", "-(Cos[a + b*x]/b)");

}

// {Cos[a + b*x], x, 1, Sin[a + b*x]/b}
public void test00067() {
	check("Integrate[Cos[a + b*x], x]", "Sin[a + b*x]/b");

}

// {Tan[a + b*x], x, 1, -(Log[Cos[a + b*x]]/b)}
public void test00068() {
	check("Integrate[Tan[a + b*x], x]", "-(Log[Cos[a + b*x]]/b)");

}

// {Cot[a + b*x], x, 1, Log[Sin[a + b*x]]/b}
public void test00069() {
	check("Integrate[Cot[a + b*x], x]", "Log[Sin[a + b*x]]/b");

}

// {Csc[a + b*x], x, 1, -(ArcTanh[Cos[a + b*x]]/b)}
public void test00070() {
	check("Integrate[Csc[a + b*x], x]", "-(ArcTanh[Cos[a + b*x]]/b)");

}

// {Sec[a + b*x], x, 1, ArcTanh[Sin[a + b*x]]/b}
public void test00071() {
	check("Integrate[Sec[a + b*x], x]", "ArcTanh[Sin[a + b*x]]/b");

}

// {(1 + Cos[x])^(-1), x, 1, Sin[x]/(1 + Cos[x])}
public void test00072() {
	check("Integrate[(1 + Cos[x])^(-1), x]", "Sin[x]/(1 + Cos[x])");

}

// {(1 - Cos[x])^(-1), x, 1, -(Sin[x]/(1 - Cos[x]))}
public void test00073() {
	check("Integrate[(1 - Cos[x])^(-1), x]", "-(Sin[x]/(1 - Cos[x]))");

}

// {(1 + Sin[x])^(-1), x, 1, -(Cos[x]/(1 + Sin[x]))}
public void test00074() {
	check("Integrate[(1 + Sin[x])^(-1), x]", "-(Cos[x]/(1 + Sin[x]))");

}

// {(1 - Sin[x])^(-1), x, 1, Cos[x]/(1 - Sin[x])}
public void test00075() {
	check("Integrate[(1 - Sin[x])^(-1), x]", "Cos[x]/(1 - Sin[x])");

}

// {Cos[x]*Cos[2*x], x, 1, Sin[x]/2 + Sin[3*x]/6}
public void test00076() {
	check("Integrate[Cos[x]*Cos[2*x], x]", "Sin[x]/2 + Sin[3*x]/6");

}

// {Cos[3*x]*Sin[2*x], x, 1, Cos[x]/2 - Cos[5*x]/10}
public void test00077() {
	check("Integrate[Cos[3*x]*Sin[2*x], x]", "Cos[x]/2 - Cos[5*x]/10");

}

// {d^x*Sin[x], x, 1, -((d^x*Cos[x])/(1 + Log[d]^2)) + (d^x*Log[d]*Sin[x])/(1 + Log[d]^2)}
public void test00078() {
	check("Integrate[d^x*Sin[x], x]", "-((d^x*Cos[x])/(1 + Log[d]^2)) + (d^x*Log[d]*Sin[x])/(1 + Log[d]^2)");

}

// {d^x*Cos[x], x, 1, (d^x*Cos[x]*Log[d])/(1 + Log[d]^2) + (d^x*Sin[x])/(1 + Log[d]^2)}
public void test00079() {
	check("Integrate[d^x*Cos[x], x]", "(d^x*Cos[x]*Log[d])/(1 + Log[d]^2) + (d^x*Sin[x])/(1 + Log[d]^2)");

}

// {Sin[Log[x]], x, 1, -(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2}
public void test00080() {
	check("Integrate[Sin[Log[x]], x]", "-(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2");

}

// {Cos[Log[x]], x, 1, (x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2}
public void test00081() {
	check("Integrate[Cos[Log[x]], x]", "(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2");

}

// {E^x, x, 1, E^x}
public void test00082() {
	check("Integrate[E^x, x]", "E^x");

}

// {a^x, x, 1, a^x/Log[a]}
public void test00083() {
	check("Integrate[a^x, x]", "a^x/Log[a]");

}

// {E^(a*x), x, 1, E^(a*x)/a}
public void test00084() {
	check("Integrate[E^(a*x), x]", "E^(a*x)/a");

}

// {E^(a*x)/x, x, 1, ExpIntegralEi[a*x]}
public void test00085() {
	check("Integrate[E^(a*x)/x, x]", "ExpIntegralEi[a*x]");

}

// {(E^(a*x)*x)/(1 + a*x)^2, x, 1, E^(a*x)/(a^2*(1 + a*x))}
public void test00086() {
	check("Integrate[(E^(a*x)*x)/(1 + a*x)^2, x]", "E^(a*x)/(a^2*(1 + a*x))");

}

// {k^x^2*x, x, 1, k^x^2/(2*Log[k])}
public void test00087() {
	check("Integrate[k^x^2*x, x]", "k^x^2/(2*Log[k])");

}

// {E^x^2, x, 1, (Sqrt[Pi]*Erfi[x])/2}
public void test00088() {
	check("Integrate[E^x^2, x]", "(Sqrt[Pi]*Erfi[x])/2");

}

// {E^x^2*x, x, 1, E^x^2/2}
public void test00089() {
	check("Integrate[E^x^2*x, x]", "E^x^2/2");

}

// {E^E^E^E^x, x, 1, CannotIntegrate[E^E^E^E^x, x]}
public void test00090() {
	check("Integrate[E^E^E^E^x, x]", "CannotIntegrate[E^E^E^E^x, x]");

}

// {2*x + Sqrt[2]*x^2, x, 1, x^2 + (Sqrt[2]*x^3)/3}
public void test00091() {
	check("Integrate[2*x + Sqrt[2]*x^2, x]", "x^2 + (Sqrt[2]*x^3)/3");

}

// {Sqrt[a + b*x], x, 1, (2*(a + b*x)^(3/2))/(3*b)}
public void test00092() {
	check("Integrate[Sqrt[a + b*x], x]", "(2*(a + b*x)^(3/2))/(3*b)");

}

// {1/Sqrt[a + b*x], x, 1, (2*Sqrt[a + b*x])/b}
public void test00093() {
	check("Integrate[1/Sqrt[a + b*x], x]", "(2*Sqrt[a + b*x])/b");

}

// {(a + b*x)^(p/2), x, 1, (2*(a + b*x)^((2 + p)/2))/(b*(2 + p))}
public void test00094() {
	check("Integrate[(a + b*x)^(p/2), x]", "(2*(a + b*x)^((2 + p)/2))/(b*(2 + p))");

}

// {x/(1 - x^2)^(9/8), x, 1, 4/(1 - x^2)^(1/8)}
public void test00095() {
	check("Integrate[x/(1 - x^2)^(9/8), x]", "4/(1 - x^2)^(1/8)");

}

// {(1 + x)/((1 - x)^2*Sqrt[1 + x^2]), x, 1, Sqrt[1 + x^2]/(1 - x)}
public void test00096() {
	check("Integrate[(1 + x)/((1 - x)^2*Sqrt[1 + x^2]), x]", "Sqrt[1 + x^2]/(1 - x)");

}

// {1/Sqrt[1 + x^2], x, 1, ArcSinh[x]}
public void test00097() {
	check("Integrate[1/Sqrt[1 + x^2], x]", "ArcSinh[x]");

}

// {r/Sqrt[-alpha^2 + 2*e*r^2], r, 1, Sqrt[-alpha^2 + 2*e*r^2]/(2*e)}
public void test00098() {
	check("Integrate[r/Sqrt[-alpha^2 + 2*e*r^2], r]", "Sqrt[-alpha^2 + 2*e*r^2]/(2*e)");

}

// {r/Sqrt[-alpha^2 - epsilon^2 + 2*e*r^2], r, 1, Sqrt[-alpha^2 - epsilon^2 + 2*e*r^2]/(2*e)}
public void test00099() {
	check("Integrate[r/Sqrt[-alpha^2 - epsilon^2 + 2*e*r^2], r]", "Sqrt[-alpha^2 - epsilon^2 + 2*e*r^2]/(2*e)");

}

// {Log[x^2]/x^3, x, 1, -1/(2*x^2) - Log[x^2]/(2*x^2)}
public void test00100() {
	check("Integrate[Log[x^2]/x^3, x]", "-1/(2*x^2) - Log[x^2]/(2*x^2)");

}

// {(-1 + (1 - x)*Log[x])/(E^x*Log[x]^2), x, 1, x/(E^x*Log[x])}
public void test00101() {
	check("Integrate[(-1 + (1 - x)*Log[x])/(E^x*Log[x]^2), x]", "x/(E^x*Log[x])");

}

// {Tanh[2*x], x, 1, Log[Cosh[2*x]]/2}
public void test00102() {
	check("Integrate[Tanh[2*x], x]", "Log[Cosh[2*x]]/2");

}

// {(-1 + I*eps*Sinh[x])/(I*a - x + I*eps*Cosh[x]), x, 1, Log[a + I*x + eps*Cosh[x]]}
public void test00103() {
	check("Integrate[(-1 + I*eps*Sinh[x])/(I*a - x + I*eps*Cosh[x]), x]", "Log[a + I*x + eps*Cosh[x]]");

}

// {Sqrt[1 + Sin[x]], x, 1, (-2*Cos[x])/Sqrt[1 + Sin[x]]}
public void test00104() {
	check("Integrate[Sqrt[1 + Sin[x]], x]", "(-2*Cos[x])/Sqrt[1 + Sin[x]]");

}

// {Sqrt[1 - Sin[x]], x, 1, (2*Cos[x])/Sqrt[1 - Sin[x]]}
public void test00105() {
	check("Integrate[Sqrt[1 - Sin[x]], x]", "(2*Cos[x])/Sqrt[1 - Sin[x]]");

}

// {Sqrt[1 + Cos[x]], x, 1, (2*Sin[x])/Sqrt[1 + Cos[x]]}
public void test00106() {
	check("Integrate[Sqrt[1 + Cos[x]], x]", "(2*Sin[x])/Sqrt[1 + Cos[x]]");

}

// {Sqrt[1 - Cos[x]], x, 1, (-2*Sin[x])/Sqrt[1 - Cos[x]]}
public void test00107() {
	check("Integrate[Sqrt[1 - Cos[x]], x]", "(-2*Sin[x])/Sqrt[1 - Cos[x]]");

}

// {Cot[x], x, 1, Log[Sin[x]]}
public void test00108() {
	check("Integrate[Cot[x], x]", "Log[Sin[x]]");

}

// {Tanh[x], x, 1, Log[Cosh[x]]}
public void test00109() {
	check("Integrate[Tanh[x], x]", "Log[Cosh[x]]");

}

// {Coth[x], x, 1, Log[Sinh[x]]}
public void test00110() {
	check("Integrate[Coth[x], x]", "Log[Sinh[x]]");

}

// {b^x, x, 1, b^x/Log[b]}
public void test00111() {
	check("Integrate[b^x, x]", "b^x/Log[b]");

}

// {(-3 + x)^(-4), x, 1, 1/(3*(3 - x)^3)}
public void test00112() {
	check("Integrate[(-3 + x)^(-4), x]", "1/(3*(3 - x)^3)");

}

// {1/Sqrt[1 + x^2], x, 1, ArcSinh[x]}
public void test00113() {
	check("Integrate[1/Sqrt[1 + x^2], x]", "ArcSinh[x]");

}

// {1/Sqrt[9 + 4*x^2], x, 1, ArcSinh[(2*x)/3]/2}
public void test00114() {
	check("Integrate[1/Sqrt[9 + 4*x^2], x]", "ArcSinh[(2*x)/3]/2");

}

// {1/Sqrt[4 + x^2], x, 1, ArcSinh[x/2]}
public void test00115() {
	check("Integrate[1/Sqrt[4 + x^2], x]", "ArcSinh[x/2]");

}

// {Erf[x], x, 1, 1/(E^x^2*Sqrt[Pi]) + x*Erf[x]}
public void test00116() {
	check("Integrate[Erf[x], x]", "1/(E^x^2*Sqrt[Pi]) + x*Erf[x]");

}

// {Erf[a + x], x, 1, 1/(E^(a + x)^2*Sqrt[Pi]) + (a + x)*Erf[a + x]}
public void test00117() {
	check("Integrate[Erf[a + x], x]", "1/(E^(a + x)^2*Sqrt[Pi]) + (a + x)*Erf[a + x]");

}

// {(x*(-Sqrt[-4 + x^2] + x^2*Sqrt[-4 + x^2] - 4*Sqrt[-1 + x^2] + x^2*Sqrt[-1 + x^2]))/((4 - 5*x^2 + x^4)*(1 + Sqrt[-4 + x^2] + Sqrt[-1 + x^2])), x, 1, Log[1 + Sqrt[-4 + x^2] + Sqrt[-1 + x^2]]}
public void test00118() {
	check("Integrate[(x*(-Sqrt[-4 + x^2] + x^2*Sqrt[-4 + x^2] - 4*Sqrt[-1 + x^2] + x^2*Sqrt[-1 + x^2]))/((4 - 5*x^2 + x^4)*(1 + Sqrt[-4 + x^2] + Sqrt[-1 + x^2])), x]", "Log[1 + Sqrt[-4 + x^2] + Sqrt[-1 + x^2]]");

}

// {Sqrt[9 - 4*Sqrt[2]]*x - Sqrt[2]*Sqrt[1 + 4*x + 2*x^2 + x^4], x, 1, (Sqrt[9 - 4*Sqrt[2]]*x^2)/2 - Sqrt[2]*CannotIntegrate[Sqrt[1 + 4*x + 2*x^2 + x^4], x]}
public void test00119() {
	check("Integrate[Sqrt[9 - 4*Sqrt[2]]*x - Sqrt[2]*Sqrt[1 + 4*x + 2*x^2 + x^4], x]", "(Sqrt[9 - 4*Sqrt[2]]*x^2)/2 - Sqrt[2]*CannotIntegrate[Sqrt[1 + 4*x + 2*x^2 + x^4], x]");

}

// {(E^(1 + Log[x]^(-1))*(-1 + Log[x]^2))/Log[x]^2, x, 1, E^(1 + Log[x]^(-1))*x}
public void test00120() {
	check("Integrate[(E^(1 + Log[x]^(-1))*(-1 + Log[x]^2))/Log[x]^2, x]", "E^(1 + Log[x]^(-1))*x");

}

// {Cos[x], x, 1, Sin[x]}
public void test00121() {
	check("Integrate[Cos[x], x]", "Sin[x]");

}

// {E^x^2*x, x, 1, E^x^2/2}
public void test00122() {
	check("Integrate[E^x^2*x, x]", "E^x^2/2");

}

// {x*Sqrt[1 + x^2], x, 1, (1 + x^2)^(3/2)/3}
public void test00123() {
	check("Integrate[x*Sqrt[1 + x^2], x]", "(1 + x^2)^(3/2)/3");

}

// {E^x*Sin[x], x, 1, -(E^x*Cos[x])/2 + (E^x*Sin[x])/2}
public void test00124() {
	check("Integrate[E^x*Sin[x], x]", "-(E^x*Cos[x])/2 + (E^x*Sin[x])/2");

}

// {Sin[y]/y, y, 1, SinIntegral[y]}
public void test00125() {
	check("Integrate[Sin[y]/y, y]", "SinIntegral[y]");

}

// {E^x^2*x, x, 1, E^x^2/2}
public void test00126() {
	check("Integrate[E^x^2*x, x]", "E^x^2/2");

}

// {x*Sqrt[1 + x^2], x, 1, (1 + x^2)^(3/2)/3}
public void test00127() {
	check("Integrate[x*Sqrt[1 + x^2], x]", "(1 + x^2)^(3/2)/3");

}

// {x^(3/2), x, 1, (2*x^(5/2))/5}
public void test00128() {
	check("Integrate[x^(3/2), x]", "(2*x^(5/2))/5");

}

// {Cos[3 + 2*x], x, 1, Sin[3 + 2*x]/2}
public void test00129() {
	check("Integrate[Cos[3 + 2*x], x]", "Sin[3 + 2*x]/2");

}

// {(10*E)^x, x, 1, (10*E)^x/(1 + Log[10])}
public void test00130() {
	check("Integrate[(10*E)^x, x]", "(10*E)^x/(1 + Log[10])");

}

// {(1 + Cos[x])^(-1), x, 1, Sin[x]/(1 + Cos[x])}
public void test00131() {
	check("Integrate[(1 + Cos[x])^(-1), x]", "Sin[x]/(1 + Cos[x])");

}

// {(E^x*x)/(1 + x)^2, x, 1, E^x/(1 + x)}
public void test00132() {
	check("Integrate[(E^x*x)/(1 + x)^2, x]", "E^x/(1 + x)");

}

// {E^x^2, x, 1, (Sqrt[Pi]*Erfi[x])/2}
public void test00133() {
	check("Integrate[E^x^2, x]", "(Sqrt[Pi]*Erfi[x])/2");

}

// {E^x/x, x, 1, ExpIntegralEi[x]}
public void test00134() {
	check("Integrate[E^x/x, x]", "ExpIntegralEi[x]");

}

// {(A^4 - A^2*B^2 + (-A^2 + B^2)*x^2)^(-1), x, 1, ArcTanh[x/A]/(A*(A^2 - B^2))}
public void test00135() {
	check("Integrate[(A^4 - A^2*B^2 + (-A^2 + B^2)*x^2)^(-1), x]", "ArcTanh[x/A]/(A*(A^2 - B^2))");

}

// {x*Log[x], x, 1, -x^2/4 + (x^2*Log[x])/2}
public void test00136() {
	check("Integrate[x*Log[x], x]", "-x^2/4 + (x^2*Log[x])/2");

}

// {Log[x]^(-1), x, 1, LogIntegral[x]}
public void test00137() {
	check("Integrate[Log[x]^(-1), x]", "LogIntegral[x]");

}

// {E^(-1 - x), x, 1, -E^(-1 - x)}
public void test00138() {
	check("Integrate[E^(-1 - x), x]", "-E^(-1 - x)");

}

// {E^x*Sin[x], x, 1, -(E^x*Cos[x])/2 + (E^x*Sin[x])/2}
public void test00139() {
	check("Integrate[E^x*Sin[x], x]", "-(E^x*Cos[x])/2 + (E^x*Sin[x])/2");

}

// {x^(-1), x, 1, Log[x]}
public void test00140() {
	check("Integrate[x^(-1), x]", "Log[x]");

}

// {(1 - Cos[x])^(-1), x, 1, -(Sin[x]/(1 - Cos[x]))}
public void test00141() {
	check("Integrate[(1 - Cos[x])^(-1), x]", "-(Sin[x]/(1 - Cos[x]))");

}

// {x*Log[x], x, 1, -x^2/4 + (x^2*Log[x])/2}
public void test00142() {
	check("Integrate[x*Log[x], x]", "-x^2/4 + (x^2*Log[x])/2");

}

// {1/(r*Sqrt[-a^2 + 2*H*r^2]), x, 1, x/(r*Sqrt[-a^2 + 2*H*r^2])}
public void test00143() {
	check("Integrate[1/(r*Sqrt[-a^2 + 2*H*r^2]), x]", "x/(r*Sqrt[-a^2 + 2*H*r^2])");

}

// {1/(r*Sqrt[-a^2 - e^2 + 2*H*r^2]), x, 1, x/(r*Sqrt[-a^2 - e^2 + 2*H*r^2])}
public void test00144() {
	check("Integrate[1/(r*Sqrt[-a^2 - e^2 + 2*H*r^2]), x]", "x/(r*Sqrt[-a^2 - e^2 + 2*H*r^2])");

}

// {1/(r*Sqrt[-a^2 + 2*H*r^2 - 2*K*r^4]), x, 1, x/(r*Sqrt[-a^2 + 2*H*r^2 - 2*K*r^4])}
public void test00145() {
	check("Integrate[1/(r*Sqrt[-a^2 + 2*H*r^2 - 2*K*r^4]), x]", "x/(r*Sqrt[-a^2 + 2*H*r^2 - 2*K*r^4])");

}

// {1/(r*Sqrt[-a^2 - e^2 + 2*H*r^2 - 2*K*r^4]), x, 1, x/(r*Sqrt[-a^2 - e^2 + 2*H*r^2 - 2*K*r^4])}
public void test00146() {
	check("Integrate[1/(r*Sqrt[-a^2 - e^2 + 2*H*r^2 - 2*K*r^4]), x]", "x/(r*Sqrt[-a^2 - e^2 + 2*H*r^2 - 2*K*r^4])");

}

// {1/(r*Sqrt[-a^2 - 2*K*r + 2*H*r^2]), x, 1, x/(r*Sqrt[-a^2 - 2*r*(K - H*r)])}
public void test00147() {
	check("Integrate[1/(r*Sqrt[-a^2 - 2*K*r + 2*H*r^2]), x]", "x/(r*Sqrt[-a^2 - 2*r*(K - H*r)])");

}

// {1/(r*Sqrt[-a^2 - e^2 - 2*K*r + 2*H*r^2]), x, 1, x/(r*Sqrt[-a^2 - e^2 - 2*r*(K - H*r)])}
public void test00148() {
	check("Integrate[1/(r*Sqrt[-a^2 - e^2 - 2*K*r + 2*H*r^2]), x]", "x/(r*Sqrt[-a^2 - e^2 - 2*r*(K - H*r)])");

}

// {r/Sqrt[-a^2 + 2*E*r^2], x, 1, (r*x)/Sqrt[-a^2 + 2*E*r^2]}
public void test00149() {
	check("Integrate[r/Sqrt[-a^2 + 2*E*r^2], x]", "(r*x)/Sqrt[-a^2 + 2*E*r^2]");

}

// {r/Sqrt[-a^2 - e^2 + 2*E*r^2], x, 1, (r*x)/Sqrt[-a^2 - e^2 + 2*E*r^2]}
public void test00150() {
	check("Integrate[r/Sqrt[-a^2 - e^2 + 2*E*r^2], x]", "(r*x)/Sqrt[-a^2 - e^2 + 2*E*r^2]");

}

// {r/Sqrt[-a^2 + 2*E*r^2 - 2*K*r^4], x, 1, (r*x)/Sqrt[-a^2 + 2*E*r^2 - 2*K*r^4]}
public void test00151() {
	check("Integrate[r/Sqrt[-a^2 + 2*E*r^2 - 2*K*r^4], x]", "(r*x)/Sqrt[-a^2 + 2*E*r^2 - 2*K*r^4]");

}

// {r/Sqrt[-a^2 - e^2 + 2*E*r^2 - 2*K*r^4], x, 1, (r*x)/Sqrt[-a^2 - e^2 + 2*E*r^2 - 2*K*r^4]}
public void test00152() {
	check("Integrate[r/Sqrt[-a^2 - e^2 + 2*E*r^2 - 2*K*r^4], x]", "(r*x)/Sqrt[-a^2 - e^2 + 2*E*r^2 - 2*K*r^4]");

}

// {r/Sqrt[-a^2 - e^2 - 2*K*r + 2*H*r^2], x, 1, (r*x)/Sqrt[-a^2 - e^2 - 2*r*(K - H*r)]}
public void test00153() {
	check("Integrate[r/Sqrt[-a^2 - e^2 - 2*K*r + 2*H*r^2], x]", "(r*x)/Sqrt[-a^2 - e^2 - 2*r*(K - H*r)]");

}

// {x^n, x, 1, x^(1 + n)/(1 + n)}
public void test00154() {
	check("Integrate[x^n, x]", "x^(1 + n)/(1 + n)");

}

// {E^x, x, 1, E^x}
public void test00155() {
	check("Integrate[E^x, x]", "E^x");

}

// {x^(-1), x, 1, Log[x]}
public void test00156() {
	check("Integrate[x^(-1), x]", "Log[x]");

}

// {a^x, x, 1, a^x/Log[a]}
public void test00157() {
	check("Integrate[a^x, x]", "a^x/Log[a]");

}

// {Sin[x], x, 1, -Cos[x]}
public void test00158() {
	check("Integrate[Sin[x], x]", "-Cos[x]");

}

// {Cos[x], x, 1, Sin[x]}
public void test00159() {
	check("Integrate[Cos[x], x]", "Sin[x]");

}

// {Sinh[x], x, 1, Cosh[x]}
public void test00160() {
	check("Integrate[Sinh[x], x]", "Cosh[x]");

}

// {Cosh[x], x, 1, Sinh[x]}
public void test00161() {
	check("Integrate[Cosh[x], x]", "Sinh[x]");

}

// {Tan[x], x, 1, -Log[Cos[x]]}
public void test00162() {
	check("Integrate[Tan[x], x]", "-Log[Cos[x]]");

}

// {Cot[x], x, 1, Log[Sin[x]]}
public void test00163() {
	check("Integrate[Cot[x], x]", "Log[Sin[x]]");

}

// {Log[x], x, 1, -x + x*Log[x]}
public void test00164() {
	check("Integrate[Log[x], x]", "-x + x*Log[x]");

}

// {E^x*Sin[x], x, 1, -(E^x*Cos[x])/2 + (E^x*Sin[x])/2}
public void test00165() {
	check("Integrate[E^x*Sin[x], x]", "-(E^x*Cos[x])/2 + (E^x*Sin[x])/2");

}

// {x*Log[x], x, 1, -x^2/4 + (x^2*Log[x])/2}
public void test00166() {
	check("Integrate[x*Log[x], x]", "-x^2/4 + (x^2*Log[x])/2");

}

// {t^2*Log[t], t, 1, -t^3/9 + (t^3*Log[t])/3}
public void test00167() {
	check("Integrate[t^2*Log[t], t]", "-t^3/9 + (t^3*Log[t])/3");

}

// {E^(2*t)*Sin[3*t], t, 1, (-3*E^(2*t)*Cos[3*t])/13 + (2*E^(2*t)*Sin[3*t])/13}
public void test00168() {
	check("Integrate[E^(2*t)*Sin[3*t], t]", "(-3*E^(2*t)*Cos[3*t])/13 + (2*E^(2*t)*Sin[3*t])/13");

}

// {Cos[3*t]/E^t, t, 1, -Cos[3*t]/(10*E^t) + (3*Sin[3*t])/(10*E^t)}
public void test00169() {
	check("Integrate[Cos[3*t]/E^t, t]", "-Cos[3*t]/(10*E^t) + (3*Sin[3*t])/(10*E^t)");

}

// {Sqrt[t]*Log[t], t, 1, (-4*t^(3/2))/9 + (2*t^(3/2)*Log[t])/3}
public void test00170() {
	check("Integrate[Sqrt[t]*Log[t], t]", "(-4*t^(3/2))/9 + (2*t^(3/2)*Log[t])/3");

}

// {Cos[5*x]*Sin[3*x], x, 1, Cos[2*x]/4 - Cos[8*x]/16}
public void test00171() {
	check("Integrate[Cos[5*x]*Sin[3*x], x]", "Cos[2*x]/4 - Cos[8*x]/16");

}

// {Sin[2*x]*Sin[4*x], x, 1, Sin[2*x]/4 - Sin[6*x]/12}
public void test00172() {
	check("Integrate[Sin[2*x]*Sin[4*x], x]", "Sin[2*x]/4 - Sin[6*x]/12");

}

// {Cos[Log[x]], x, 1, (x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2}
public void test00173() {
	check("Integrate[Cos[Log[x]], x]", "(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2");

}

// {Log[Sqrt[x]], x, 1, -x/2 + x*Log[Sqrt[x]]}
public void test00174() {
	check("Integrate[Log[Sqrt[x]], x]", "-x/2 + x*Log[Sqrt[x]]");

}

// {Sin[Log[x]], x, 1, -(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2}
public void test00175() {
	check("Integrate[Sin[Log[x]], x]", "-(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2");

}

// {Sqrt[x]*Log[x], x, 1, (-4*x^(3/2))/9 + (2*x^(3/2)*Log[x])/3}
public void test00176() {
	check("Integrate[Sqrt[x]*Log[x], x]", "(-4*x^(3/2))/9 + (2*x^(3/2)*Log[x])/3");

}

// {(1 - Sin[2*x])^2, x, 1, (3*x)/2 + Cos[2*x] - (Cos[2*x]*Sin[2*x])/4}
public void test00177() {
	check("Integrate[(1 - Sin[2*x])^2, x]", "(3*x)/2 + Cos[2*x] - (Cos[2*x]*Sin[2*x])/4");

}

// {(1 - Sin[x])^(-1), x, 1, Cos[x]/(1 - Sin[x])}
public void test00178() {
	check("Integrate[(1 - Sin[x])^(-1), x]", "Cos[x]/(1 - Sin[x])");

}

// {Csc[x], x, 1, -ArcTanh[Cos[x]]}
public void test00179() {
	check("Integrate[Csc[x], x]", "-ArcTanh[Cos[x]]");

}

// {Sin[2*x]*Sin[5*x], x, 1, Sin[3*x]/6 - Sin[7*x]/14}
public void test00180() {
	check("Integrate[Sin[2*x]*Sin[5*x], x]", "Sin[3*x]/6 - Sin[7*x]/14");

}

// {Cos[x]*Sin[3*x], x, 1, -Cos[2*x]/4 - Cos[4*x]/8}
public void test00181() {
	check("Integrate[Cos[x]*Sin[3*x], x]", "-Cos[2*x]/4 - Cos[4*x]/8");

}

// {Cos[3*x]*Cos[4*x], x, 1, Sin[x]/2 + Sin[7*x]/14}
public void test00182() {
	check("Integrate[Cos[3*x]*Cos[4*x], x]", "Sin[x]/2 + Sin[7*x]/14");

}

// {Sin[3*x]*Sin[6*x], x, 1, Sin[3*x]/6 - Sin[9*x]/18}
public void test00183() {
	check("Integrate[Sin[3*x]*Sin[6*x], x]", "Sin[3*x]/6 - Sin[9*x]/18");

}

// {1/(x^2*Sqrt[4 + x^2]), x, 1, -Sqrt[4 + x^2]/(4*x)}
public void test00184() {
	check("Integrate[1/(x^2*Sqrt[4 + x^2]), x]", "-Sqrt[4 + x^2]/(4*x)");

}

// {x/Sqrt[4 + x^2], x, 1, Sqrt[4 + x^2]}
public void test00185() {
	check("Integrate[x/Sqrt[4 + x^2], x]", "Sqrt[4 + x^2]");

}

// {1/(x^2*Sqrt[1 - x^2]), x, 1, -(Sqrt[1 - x^2]/x)}
public void test00186() {
	check("Integrate[1/(x^2*Sqrt[1 - x^2]), x]", "-(Sqrt[1 - x^2]/x)");

}

// {x/Sqrt[1 - x^2], x, 1, -Sqrt[1 - x^2]}
public void test00187() {
	check("Integrate[x/Sqrt[1 - x^2], x]", "-Sqrt[1 - x^2]");

}

// {x*Sqrt[4 - x^2], x, 1, -(4 - x^2)^(3/2)/3}
public void test00188() {
	check("Integrate[x*Sqrt[4 - x^2], x]", "-(4 - x^2)^(3/2)/3");

}

// {1/Sqrt[9 + x^2], x, 1, ArcSinh[x/3]}
public void test00189() {
	check("Integrate[1/Sqrt[9 + x^2], x]", "ArcSinh[x/3]");

}

// {Sqrt[-a^2 + x^2]/x^4, x, 1, (-a^2 + x^2)^(3/2)/(3*a^2*x^3)}
public void test00190() {
	check("Integrate[Sqrt[-a^2 + x^2]/x^4, x]", "(-a^2 + x^2)^(3/2)/(3*a^2*x^3)");

}

// {1/(x^2*Sqrt[-9 + 16*x^2]), x, 1, Sqrt[-9 + 16*x^2]/(9*x)}
public void test00191() {
	check("Integrate[1/(x^2*Sqrt[-9 + 16*x^2]), x]", "Sqrt[-9 + 16*x^2]/(9*x)");

}

// {x/(4 + x^2)^(5/2), x, 1, -1/(3*(4 + x^2)^(3/2))}
public void test00192() {
	check("Integrate[x/(4 + x^2)^(5/2), x]", "-1/(3*(4 + x^2)^(3/2))");

}

// {(-25 + 4*x^2)^(-3/2), x, 1, -x/(25*Sqrt[-25 + 4*x^2])}
public void test00193() {
	check("Integrate[(-25 + 4*x^2)^(-3/2), x]", "-x/(25*Sqrt[-25 + 4*x^2])");

}

// {(2*x + x^2)/(4 + 3*x^2 + x^3), x, 1, Log[4 + 3*x^2 + x^3]/3}
public void test00194() {
	check("Integrate[(2*x + x^2)/(4 + 3*x^2 + x^3), x]", "Log[4 + 3*x^2 + x^3]/3");

}

// {(-x + 2*x^3)/(1 - x^2 + x^4), x, 1, Log[1 - x^2 + x^4]/2}
public void test00195() {
	check("Integrate[(-x + 2*x^3)/(1 - x^2 + x^4), x]", "Log[1 - x^2 + x^4]/2");

}

// {x/(-1 + x^2), x, 1, Log[1 - x^2]/2}
public void test00196() {
	check("Integrate[x/(-1 + x^2), x]", "Log[1 - x^2]/2");

}

// {(1 - Cos[x])^(-1), x, 1, -(Sin[x]/(1 - Cos[x]))}
public void test00197() {
	check("Integrate[(1 - Cos[x])^(-1), x]", "-(Sin[x]/(1 - Cos[x]))");

}

// {(-Cos[x] + Sin[x])/(Cos[x] + Sin[x]), x, 1, -Log[Cos[x] + Sin[x]]}
public void test00198() {
	check("Integrate[(-Cos[x] + Sin[x])/(Cos[x] + Sin[x]), x]", "-Log[Cos[x] + Sin[x]]");

}

// {x/Sqrt[1 - x^2], x, 1, -Sqrt[1 - x^2]}
public void test00199() {
	check("Integrate[x/Sqrt[1 - x^2], x]", "-Sqrt[1 - x^2]");

}

// {x^3*Log[x], x, 1, -x^4/16 + (x^4*Log[x])/4}
public void test00200() {
	check("Integrate[x^3*Log[x], x]", "-x^4/16 + (x^4*Log[x])/4");

}

// {(1 + x + x^3)/(4*x + 2*x^2 + x^4), x, 1, Log[4*x + 2*x^2 + x^4]/4}
public void test00201() {
	check("Integrate[(1 + x + x^3)/(4*x + 2*x^2 + x^4), x]", "Log[4*x + 2*x^2 + x^4]/4");

}

// {Sin[Pi*x], x, 1, -(Cos[Pi*x]/Pi)}
public void test00202() {
	check("Integrate[Sin[Pi*x], x]", "-(Cos[Pi*x]/Pi)");

}

// {E^(3*x)*Cos[5*x], x, 1, (3*E^(3*x)*Cos[5*x])/34 + (5*E^(3*x)*Sin[5*x])/34}
public void test00203() {
	check("Integrate[E^(3*x)*Cos[5*x], x]", "(3*E^(3*x)*Cos[5*x])/34 + (5*E^(3*x)*Sin[5*x])/34");

}

// {Cos[3*x]*Cos[5*x], x, 1, Sin[2*x]/4 + Sin[8*x]/16}
public void test00204() {
	check("Integrate[Cos[3*x]*Cos[5*x], x]", "Sin[2*x]/4 + Sin[8*x]/16");

}

// {Csc[x]*Log[Tan[x]]*Sec[x], x, 1, Log[Tan[x]]^2/2}
public void test00205() {
	check("Integrate[Csc[x]*Log[Tan[x]]*Sec[x], x]", "Log[Tan[x]]^2/2");

}

// {-2*x + x^2 + x^3, x, 1, -x^2 + x^3/3 + x^4/4}
public void test00206() {
	check("Integrate[-2*x + x^2 + x^3, x]", "-x^2 + x^3/3 + x^4/4");

}

// {1/Sqrt[16 - x^2], x, 1, ArcSin[x/4]}
public void test00207() {
	check("Integrate[1/Sqrt[16 - x^2], x]", "ArcSin[x/4]");

}

// {E^ArcTan[x]/(1 + x^2), x, 1, E^ArcTan[x]}
public void test00208() {
	check("Integrate[E^ArcTan[x]/(1 + x^2), x]", "E^ArcTan[x]");

}

// {Log[x/2], x, 1, -x + x*Log[x/2]}
public void test00209() {
	check("Integrate[Log[x/2], x]", "-x + x*Log[x/2]");

}

// {x*(5 + x^2)^8, x, 1, (5 + x^2)^9/18}
public void test00210() {
	check("Integrate[x*(5 + x^2)^8, x]", "(5 + x^2)^9/18");

}

// {Cos[4*x]/E^(3*x), x, 1, (-3*Cos[4*x])/(25*E^(3*x)) + (4*Sin[4*x])/(25*E^(3*x))}
public void test00211() {
	check("Integrate[Cos[4*x]/E^(3*x), x]", "(-3*Cos[4*x])/(25*E^(3*x)) + (4*Sin[4*x])/(25*E^(3*x))");

}

// {E^x*Cos[4 + 3*x], x, 1, (E^x*Cos[4 + 3*x])/10 + (3*E^x*Sin[4 + 3*x])/10}
public void test00212() {
	check("Integrate[E^x*Cos[4 + 3*x], x]", "(E^x*Cos[4 + 3*x])/10 + (3*E^x*Sin[4 + 3*x])/10");

}

// {x^2*(1 + x^3)^4, x, 1, (1 + x^3)^5/15}
public void test00213() {
	check("Integrate[x^2*(1 + x^3)^4, x]", "(1 + x^3)^5/15");

}

// {(a^2 - b^2*x^2)^(-1), x, 1, ArcTanh[(b*x)/a]/(a*b)}
public void test00214() {
	check("Integrate[(a^2 - b^2*x^2)^(-1), x]", "ArcTanh[(b*x)/a]/(a*b)");

}

// {(a^2 + b^2*x^2)^(-1), x, 1, ArcTan[(b*x)/a]/(a*b)}
public void test00215() {
	check("Integrate[(a^2 + b^2*x^2)^(-1), x]", "ArcTan[(b*x)/a]/(a*b)");

}

// {Sec[2*a*x], x, 1, ArcTanh[Sin[2*a*x]]/(2*a)}
public void test00216() {
	check("Integrate[Sec[2*a*x], x]", "ArcTanh[Sin[2*a*x]]/(2*a)");

}

// {-Sec[Pi/4 + 2*x], x, 1, -ArcTanh[Sin[Pi/4 + 2*x]]/2}
public void test00217() {
	check("Integrate[-Sec[Pi/4 + 2*x], x]", "-ArcTanh[Sin[Pi/4 + 2*x]]/2");

}

// {(1 + Cos[x])^(-1), x, 1, Sin[x]/(1 + Cos[x])}
public void test00218() {
	check("Integrate[(1 + Cos[x])^(-1), x]", "Sin[x]/(1 + Cos[x])");

}

// {(1 - Cos[x])^(-1), x, 1, -(Sin[x]/(1 - Cos[x]))}
public void test00219() {
	check("Integrate[(1 - Cos[x])^(-1), x]", "-(Sin[x]/(1 - Cos[x]))");

}

// {Sin[x/4]*Sin[x], x, 1, (2*Sin[(3*x)/4])/3 - (2*Sin[(5*x)/4])/5}
public void test00220() {
	check("Integrate[Sin[x/4]*Sin[x], x]", "(2*Sin[(3*x)/4])/3 - (2*Sin[(5*x)/4])/5");

}

// {Cos[3*x]*Cos[4*x], x, 1, Sin[x]/2 + Sin[7*x]/14}
public void test00221() {
	check("Integrate[Cos[3*x]*Cos[4*x], x]", "Sin[x]/2 + Sin[7*x]/14");

}

// {ArcTan[x]^n/(1 + x^2), x, 1, ArcTan[x]^(1 + n)/(1 + n)}
public void test00222() {
	check("Integrate[ArcTan[x]^n/(1 + x^2), x]", "ArcTan[x]^(1 + n)/(1 + n)");

}

// {1/(Sqrt[1 - x^2]*ArcCos[x]^3), x, 1, 1/(2*ArcCos[x]^2)}
public void test00223() {
	check("Integrate[1/(Sqrt[1 - x^2]*ArcCos[x]^3), x]", "1/(2*ArcCos[x]^2)");

}

// {Log[x]/x^5, x, 1, -1/(16*x^4) - Log[x]/(4*x^4)}
public void test00224() {
	check("Integrate[Log[x]/x^5, x]", "-1/(16*x^4) - Log[x]/(4*x^4)");

}

// {Sin[x]/E^x, x, 1, -Cos[x]/(2*E^x) - Sin[x]/(2*E^x)}
public void test00225() {
	check("Integrate[Sin[x]/E^x, x]", "-Cos[x]/(2*E^x) - Sin[x]/(2*E^x)");

}

// {E^(2*x)*Sin[3*x], x, 1, (-3*E^(2*x)*Cos[3*x])/13 + (2*E^(2*x)*Sin[3*x])/13}
public void test00226() {
	check("Integrate[E^(2*x)*Sin[3*x], x]", "(-3*E^(2*x)*Cos[3*x])/13 + (2*E^(2*x)*Sin[3*x])/13");

}

// {a^x*Cos[x], x, 1, (a^x*Cos[x]*Log[a])/(1 + Log[a]^2) + (a^x*Sin[x])/(1 + Log[a]^2)}
public void test00227() {
	check("Integrate[a^x*Cos[x], x]", "(a^x*Cos[x]*Log[a])/(1 + Log[a]^2) + (a^x*Sin[x])/(1 + Log[a]^2)");

}

// {Cos[Log[x]], x, 1, (x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2}
public void test00228() {
	check("Integrate[Cos[Log[x]], x]", "(x*Cos[Log[x]])/2 + (x*Sin[Log[x]])/2");

}

// {x^(-1 + k)*(a + b*x^k)^n, x, 1, (a + b*x^k)^(1 + n)/(b*k*(1 + n))}
public void test00229() {
	check("Integrate[x^(-1 + k)*(a + b*x^k)^n, x]", "(a + b*x^k)^(1 + n)/(b*k*(1 + n))");

}

// {x^2/(a^3 + x^3), x, 1, Log[a^3 + x^3]/3}
public void test00230() {
	check("Integrate[x^2/(a^3 + x^3), x]", "Log[a^3 + x^3]/3");

}

// {1/(x^m*(a^3 + x^3)), x, 1, (x^(1 - m)*Hypergeometric2F1[1, (1 - m)/3, (4 - m)/3, -(x^3/a^3)])/(a^3*(1 - m))}
public void test00231() {
	check("Integrate[1/(x^m*(a^3 + x^3)), x]", "(x^(1 - m)*Hypergeometric2F1[1, (1 - m)/3, (4 - m)/3, -(x^3/a^3)])/(a^3*(1 - m))");

}

// {1/(x^m*(a^4 - x^4)), x, 1, (x^(1 - m)*Hypergeometric2F1[1, (1 - m)/4, (5 - m)/4, x^4/a^4])/(a^4*(1 - m))}
public void test00232() {
	check("Integrate[1/(x^m*(a^4 - x^4)), x]", "(x^(1 - m)*Hypergeometric2F1[1, (1 - m)/4, (5 - m)/4, x^4/a^4])/(a^4*(1 - m))");

}

// {x^4/(a^5 + x^5), x, 1, Log[a^5 + x^5]/5}
public void test00233() {
	check("Integrate[x^4/(a^5 + x^5), x]", "Log[a^5 + x^5]/5");

}

// {1/(x^m*(a^5 + x^5)), x, 1, (x^(1 - m)*Hypergeometric2F1[1, (1 - m)/5, (6 - m)/5, -(x^5/a^5)])/(a^5*(1 - m))}
public void test00234() {
	check("Integrate[1/(x^m*(a^5 + x^5)), x]", "(x^(1 - m)*Hypergeometric2F1[1, (1 - m)/5, (6 - m)/5, -(x^5/a^5)])/(a^5*(1 - m))");

}

// {x^3/(a^4 + x^4)^3, x, 1, -1/(8*(a^4 + x^4)^2)}
public void test00235() {
	check("Integrate[x^3/(a^4 + x^4)^3, x]", "-1/(8*(a^4 + x^4)^2)");

}

// {(1 + x + x^2)^(-3/2), x, 1, (2*(1 + 2*x))/(3*Sqrt[1 + x + x^2])}
public void test00236() {
	check("Integrate[(1 + x + x^2)^(-3/2), x]", "(2*(1 + 2*x))/(3*Sqrt[1 + x + x^2])");

}

// {x/(1 + x + x^2)^(3/2), x, 1, (-2*(2 + x))/(3*Sqrt[1 + x + x^2])}
public void test00237() {
	check("Integrate[x/(1 + x + x^2)^(3/2), x]", "(-2*(2 + x))/(3*Sqrt[1 + x + x^2])");

}

// {1/((1 - 3/x)^(4/3)*x^2), x, 1, -(1 - 3/x)^(-1/3)}
public void test00238() {
	check("Integrate[1/((1 - 3/x)^(4/3)*x^2), x]", "-(1 - 3/x)^(-1/3)");

}

// {x^6*(1 + x^7)^(1/3), x, 1, (3*(1 + x^7)^(4/3))/28}
public void test00239() {
	check("Integrate[x^6*(1 + x^7)^(1/3), x]", "(3*(1 + x^7)^(4/3))/28");

}

// {x^6/(1 + x^7)^(5/3), x, 1, -3/(14*(1 + x^7)^(2/3))}
public void test00240() {
	check("Integrate[x^6/(1 + x^7)^(5/3), x]", "-3/(14*(1 + x^7)^(2/3))");

}

// {(-3*x + 2*x^3)*(-3*x^2 + x^4)^(3/5), x, 1, (5*(-3*x^2 + x^4)^(8/5))/16}
public void test00241() {
	check("Integrate[(-3*x + 2*x^3)*(-3*x^2 + x^4)^(3/5), x]", "(5*(-3*x^2 + x^4)^(8/5))/16");

}

// {(-1 + x^4)/(x^2*Sqrt[1 + x^2 + x^4]), x, 1, Sqrt[1 + x^2 + x^4]/x}
public void test00242() {
	check("Integrate[(-1 + x^4)/(x^2*Sqrt[1 + x^2 + x^4]), x]", "Sqrt[1 + x^2 + x^4]/x");

}

// {(1 - x^2)/((1 + 2*a*x + x^2)*Sqrt[1 + 2*a*x + 2*b*x^2 + 2*a*x^3 + x^4]), x, 1, ArcTan[(a + 2*(1 + a^2 - b)*x + a*x^2)/(Sqrt[2]*Sqrt[1 - b]*Sqrt[1 + 2*a*x + 2*b*x^2 + 2*a*x^3 + x^4])]/(Sqrt[2]*Sqrt[1 - b])}
public void test00243() {
	check("Integrate[(1 - x^2)/((1 + 2*a*x + x^2)*Sqrt[1 + 2*a*x + 2*b*x^2 + 2*a*x^3 + x^4]), x]", "ArcTan[(a + 2*(1 + a^2 - b)*x + a*x^2)/(Sqrt[2]*Sqrt[1 - b]*Sqrt[1 + 2*a*x + 2*b*x^2 + 2*a*x^3 + x^4])]/(Sqrt[2]*Sqrt[1 - b])");

}

// {Cos[x]^(2*m)*Sin[x]^(2*m), x, 1, (Cos[x]^(-1 + 2*m)*(Cos[x]^2)^(1/2 - m)*Hypergeometric2F1[(1 - 2*m)/2, (1 + 2*m)/2, (3 + 2*m)/2, Sin[x]^2]*Sin[x]^(1 + 2*m))/(1 + 2*m)}
public void test00244() {
	check("Integrate[Cos[x]^(2*m)*Sin[x]^(2*m), x]", "(Cos[x]^(-1 + 2*m)*(Cos[x]^2)^(1/2 - m)*Hypergeometric2F1[(1 - 2*m)/2, (1 + 2*m)/2, (3 + 2*m)/2, Sin[x]^2]*Sin[x]^(1 + 2*m))/(1 + 2*m)");

}

// {Cos[x]*Cos[4*x], x, 1, Sin[3*x]/6 + Sin[5*x]/10}
public void test00245() {
	check("Integrate[Cos[x]*Cos[4*x], x]", "Sin[3*x]/6 + Sin[5*x]/10");

}

// {Sqrt[1 + Sin[2*x]], x, 1, -(Cos[2*x]/Sqrt[1 + Sin[2*x]])}
public void test00246() {
	check("Integrate[Sqrt[1 + Sin[2*x]], x]", "-(Cos[2*x]/Sqrt[1 + Sin[2*x]])");

}

// {Sqrt[1 - Sin[2*x]], x, 1, Cos[2*x]/Sqrt[1 - Sin[2*x]]}
public void test00247() {
	check("Integrate[Sqrt[1 - Sin[2*x]], x]", "Cos[2*x]/Sqrt[1 - Sin[2*x]]");

}

// {Sin[x]/Sqrt[Sin[2*x]], x, 1, -ArcSin[Cos[x] - Sin[x]]/2 - Log[Cos[x] + Sin[x] + Sqrt[Sin[2*x]]]/2}
public void test00248() {
	check("Integrate[Sin[x]/Sqrt[Sin[2*x]], x]", "-ArcSin[Cos[x] - Sin[x]]/2 - Log[Cos[x] + Sin[x] + Sqrt[Sin[2*x]]]/2");

}

// {Cos[x]/Sqrt[Sin[2*x]], x, 1, -ArcSin[Cos[x] - Sin[x]]/2 + Log[Cos[x] + Sin[x] + Sqrt[Sin[2*x]]]/2}
public void test00249() {
	check("Integrate[Cos[x]/Sqrt[Sin[2*x]], x]", "-ArcSin[Cos[x] - Sin[x]]/2 + Log[Cos[x] + Sin[x] + Sqrt[Sin[2*x]]]/2");

}

// {Csc[x]^5*Sin[2*x]^(3/2), x, 1, -(Csc[x]^5*Sin[2*x]^(5/2))/5}
public void test00250() {
	check("Integrate[Csc[x]^5*Sin[2*x]^(3/2), x]", "-(Csc[x]^5*Sin[2*x]^(5/2))/5");

}

// {Sin[x]/Cos[2*x]^(5/2), x, 1, -Cos[3*x]/(3*Cos[2*x]^(3/2))}
public void test00251() {
	check("Integrate[Sin[x]/Cos[2*x]^(5/2), x]", "-Cos[3*x]/(3*Cos[2*x]^(3/2))");

}

// {x^(1 + 2*n), x, 1, x^(2*(1 + n))/(2*(1 + n))}
public void test00252() {
	check("Integrate[x^(1 + 2*n), x]", "x^(2*(1 + n))/(2*(1 + n))");

}

// {(E^x*(1 - x - x^2))/Sqrt[1 - x^2], x, 1, E^x*Sqrt[1 - x^2]}
public void test00253() {
	check("Integrate[(E^x*(1 - x - x^2))/Sqrt[1 - x^2], x]", "E^x*Sqrt[1 - x^2]");

}

// {Cos[2*x]/E^(3*x), x, 1, (-3*Cos[2*x])/(13*E^(3*x)) + (2*Sin[2*x])/(13*E^(3*x))}
public void test00254() {
	check("Integrate[Cos[2*x]/E^(3*x), x]", "(-3*Cos[2*x])/(13*E^(3*x)) + (2*Sin[2*x])/(13*E^(3*x))");

}

// {E^(m*x)*Csc[x]^2, x, 1, (-4*E^((2*I + m)*x)*Hypergeometric2F1[2, 1 - (I/2)*m, 2 - (I/2)*m, E^((2*I)*x)])/(2*I + m)}
public void test00255() {
	check("Integrate[E^(m*x)*Csc[x]^2, x]", "(-4*E^((2*I + m)*x)*Hypergeometric2F1[2, 1 - (I/2)*m, 2 - (I/2)*m, E^((2*I)*x)])/(2*I + m)");

}

// {(E^x*(1 - Sin[x]))/(1 - Cos[x]), x, 1, -((E^x*Sin[x])/(1 - Cos[x]))}
public void test00256() {
	check("Integrate[(E^x*(1 - Sin[x]))/(1 - Cos[x]), x]", "-((E^x*Sin[x])/(1 - Cos[x]))");

}

// {(E^x*(1 + Sin[x]))/(1 + Cos[x]), x, 1, (E^x*Sin[x])/(1 + Cos[x])}
public void test00257() {
	check("Integrate[(E^x*(1 + Sin[x]))/(1 + Cos[x]), x]", "(E^x*Sin[x])/(1 + Cos[x])");

}

// {(E^x*(1 + Cos[x]))/(1 - Sin[x]), x, 1, (E^x*Cos[x])/(1 - Sin[x])}
public void test00258() {
	check("Integrate[(E^x*(1 + Cos[x]))/(1 - Sin[x]), x]", "(E^x*Cos[x])/(1 - Sin[x])");

}

// {(E^x*(1 - Cos[x]))/(1 + Sin[x]), x, 1, -((E^x*Cos[x])/(1 + Sin[x]))}
public void test00259() {
	check("Integrate[(E^x*(1 - Cos[x]))/(1 + Sin[x]), x]", "-((E^x*Cos[x])/(1 + Sin[x]))");

}

// {Cosh[x], x, 1, Sinh[x]}
public void test00260() {
	check("Integrate[Cosh[x], x]", "Sinh[x]");

}

// {Sinh[x], x, 1, Cosh[x]}
public void test00261() {
	check("Integrate[Sinh[x], x]", "Cosh[x]");

}

// {Tanh[x], x, 1, Log[Cosh[x]]}
public void test00262() {
	check("Integrate[Tanh[x], x]", "Log[Cosh[x]]");

}

// {Coth[x], x, 1, Log[Sinh[x]]}
public void test00263() {
	check("Integrate[Coth[x], x]", "Log[Sinh[x]]");

}

// {Sech[x], x, 1, ArcTan[Sinh[x]]}
public void test00264() {
	check("Integrate[Sech[x], x]", "ArcTan[Sinh[x]]");

}

// {Csch[x], x, 1, -ArcTanh[Cosh[x]]}
public void test00265() {
	check("Integrate[Csch[x], x]", "-ArcTanh[Cosh[x]]");

}

// {x^m*Log[x], x, 1, -(x^(1 + m)/(1 + m)^2) + (x^(1 + m)*Log[x])/(1 + m)}
public void test00266() {
	check("Integrate[x^m*Log[x], x]", "-(x^(1 + m)/(1 + m)^2) + (x^(1 + m)*Log[x])/(1 + m)");

}

// {Log[Log[x]]/x, x, 1, -Log[x] + Log[x]*Log[Log[x]]}
public void test00267() {
	check("Integrate[Log[Log[x]]/x, x]", "-Log[x] + Log[x]*Log[Log[x]]");

}

// {1/Sqrt[1 - a*x], x, 1, (-2*Sqrt[1 - a*x])/a}
public void test00268() {
	check("Integrate[1/Sqrt[1 - a*x], x]", "(-2*Sqrt[1 - a*x])/a");

}

// {(1 - x^3)^(-1/3), x, 1, -(ArcTan[(1 - (2*x)/(1 - x^3)^(1/3))/Sqrt[3]]/Sqrt[3]) + Log[x + (1 - x^3)^(1/3)]/2}
public void test00269() {
	check("Integrate[(1 - x^3)^(-1/3), x]", "-(ArcTan[(1 - (2*x)/(1 - x^3)^(1/3))/Sqrt[3]]/Sqrt[3]) + Log[x + (1 - x^3)^(1/3)]/2");

}

// {(3 - 3*x + 30*x^2 + 160*x^3)/(9 + 24*x - 12*x^2 + 80*x^3 + 320*x^4), x, 1, Log[9 + 24*x - 12*x^2 + 80*x^3 + 320*x^4]/8}
public void test00270() {
	check("Integrate[(3 - 3*x + 30*x^2 + 160*x^3)/(9 + 24*x - 12*x^2 + 80*x^3 + 320*x^4), x]", "Log[9 + 24*x - 12*x^2 + 80*x^3 + 320*x^4]/8");

}

// {(3 + 12*x + 20*x^2)/(9 + 24*x - 12*x^2 + 80*x^3 + 320*x^4), x, 1, -ArcTan[(7 - 40*x)/(5*Sqrt[11])]/(2*Sqrt[11]) + ArcTan[(57 + 30*x - 40*x^2 + 800*x^3)/(6*Sqrt[11])]/(2*Sqrt[11])}
public void test00271() {
	check("Integrate[(3 + 12*x + 20*x^2)/(9 + 24*x - 12*x^2 + 80*x^3 + 320*x^4), x]", "-ArcTan[(7 - 40*x)/(5*Sqrt[11])]/(2*Sqrt[11]) + ArcTan[(57 + 30*x - 40*x^2 + 800*x^3)/(6*Sqrt[11])]/(2*Sqrt[11])");

}

// {Sqrt[1 - x^4]/(1 + x^4), x, 1, ArcTan[(x*(1 + x^2))/Sqrt[1 - x^4]]/2 + ArcTanh[(x*(1 - x^2))/Sqrt[1 - x^4]]/2}
public void test00272() {
	check("Integrate[Sqrt[1 - x^4]/(1 + x^4), x]", "ArcTan[(x*(1 + x^2))/Sqrt[1 - x^4]]/2 + ArcTanh[(x*(1 - x^2))/Sqrt[1 - x^4]]/2");

}

// {Sqrt[1 + p*x^2 - x^4]/(1 + x^4), x, 1, -(Sqrt[p + Sqrt[4 + p^2]]*ArcTan[(Sqrt[p + Sqrt[4 + p^2]]*x*(p - Sqrt[4 + p^2] - 2*x^2))/(2*Sqrt[2]*Sqrt[1 + p*x^2 - x^4])])/(2*Sqrt[2]) + (Sqrt[-p + Sqrt[4 + p^2]]*ArcTanh[(Sqrt[-p + Sqrt[4 + p^2]]*x*(p + Sqrt[4 + p^2] - 2*x^2))/(2*Sqrt[2]*Sqrt[1 + p*x^2 - x^4])])/(2*Sqrt[2])}
public void test00273() {
	check("Integrate[Sqrt[1 + p*x^2 - x^4]/(1 + x^4), x]", "-(Sqrt[p + Sqrt[4 + p^2]]*ArcTan[(Sqrt[p + Sqrt[4 + p^2]]*x*(p - Sqrt[4 + p^2] - 2*x^2))/(2*Sqrt[2]*Sqrt[1 + p*x^2 - x^4])])/(2*Sqrt[2]) + (Sqrt[-p + Sqrt[4 + p^2]]*ArcTanh[(Sqrt[-p + Sqrt[4 + p^2]]*x*(p + Sqrt[4 + p^2] - 2*x^2))/(2*Sqrt[2]*Sqrt[1 + p*x^2 - x^4])])/(2*Sqrt[2])");

}

// {x/(Sqrt[1 - x^3]*(4 - x^3)), x, 1, -ArcTan[(Sqrt[3]*(1 - 2^(1/3)*x))/Sqrt[1 - x^3]]/(3*2^(2/3)*Sqrt[3]) + ArcTan[Sqrt[1 - x^3]/Sqrt[3]]/(3*2^(2/3)*Sqrt[3]) - ArcTanh[(1 + 2^(1/3)*x)/Sqrt[1 - x^3]]/(3*2^(2/3)) + ArcTanh[Sqrt[1 - x^3]]/(9*2^(2/3))}
public void test00274() {
	check("Integrate[x/(Sqrt[1 - x^3]*(4 - x^3)), x]", "-ArcTan[(Sqrt[3]*(1 - 2^(1/3)*x))/Sqrt[1 - x^3]]/(3*2^(2/3)*Sqrt[3]) + ArcTan[Sqrt[1 - x^3]/Sqrt[3]]/(3*2^(2/3)*Sqrt[3]) - ArcTanh[(1 + 2^(1/3)*x)/Sqrt[1 - x^3]]/(3*2^(2/3)) + ArcTanh[Sqrt[1 - x^3]]/(9*2^(2/3))");

}

// {x/((4 - d*x^3)*Sqrt[-1 + d*x^3]), x, 1, -ArcTan[(1 + 2^(1/3)*d^(1/3)*x)/Sqrt[-1 + d*x^3]]/(3*2^(2/3)*d^(2/3)) - ArcTan[Sqrt[-1 + d*x^3]]/(9*2^(2/3)*d^(2/3)) - ArcTanh[(Sqrt[3]*(1 - 2^(1/3)*d^(1/3)*x))/Sqrt[-1 + d*x^3]]/(3*2^(2/3)*Sqrt[3]*d^(2/3)) - ArcTanh[Sqrt[-1 + d*x^3]/Sqrt[3]]/(3*2^(2/3)*Sqrt[3]*d^(2/3))}
public void test00275() {
	check("Integrate[x/((4 - d*x^3)*Sqrt[-1 + d*x^3]), x]", "-ArcTan[(1 + 2^(1/3)*d^(1/3)*x)/Sqrt[-1 + d*x^3]]/(3*2^(2/3)*d^(2/3)) - ArcTan[Sqrt[-1 + d*x^3]]/(9*2^(2/3)*d^(2/3)) - ArcTanh[(Sqrt[3]*(1 - 2^(1/3)*d^(1/3)*x))/Sqrt[-1 + d*x^3]]/(3*2^(2/3)*Sqrt[3]*d^(2/3)) - ArcTanh[Sqrt[-1 + d*x^3]/Sqrt[3]]/(3*2^(2/3)*Sqrt[3]*d^(2/3))");

}

// {1/((1 - 3*x^2)^(1/3)*(3 - x^2)), x, 1, ArcTan[(1 - (1 - 3*x^2)^(1/3))/x]/4 + ArcTanh[x/Sqrt[3]]/(4*Sqrt[3]) - ArcTanh[(1 - (1 - 3*x^2)^(1/3))^2/(3*Sqrt[3]*x)]/(4*Sqrt[3])}
public void test00276() {
	check("Integrate[1/((1 - 3*x^2)^(1/3)*(3 - x^2)), x]", "ArcTan[(1 - (1 - 3*x^2)^(1/3))/x]/4 + ArcTanh[x/Sqrt[3]]/(4*Sqrt[3]) - ArcTanh[(1 - (1 - 3*x^2)^(1/3))^2/(3*Sqrt[3]*x)]/(4*Sqrt[3])");

}

// {1/((3 + x^2)*(1 + 3*x^2)^(1/3)), x, 1, ArcTan[x/Sqrt[3]]/(4*Sqrt[3]) + ArcTan[(1 - (1 + 3*x^2)^(1/3))^2/(3*Sqrt[3]*x)]/(4*Sqrt[3]) - ArcTanh[(1 - (1 + 3*x^2)^(1/3))/x]/4}
public void test00277() {
	check("Integrate[1/((3 + x^2)*(1 + 3*x^2)^(1/3)), x]", "ArcTan[x/Sqrt[3]]/(4*Sqrt[3]) + ArcTan[(1 - (1 + 3*x^2)^(1/3))^2/(3*Sqrt[3]*x)]/(4*Sqrt[3]) - ArcTanh[(1 - (1 + 3*x^2)^(1/3))/x]/4");

}

// {1/((1 - x^2)^(1/3)*(3 + x^2)), x, 1, ArcTan[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) + ArcTan[(Sqrt[3]*(1 - 2^(1/3)*(1 - x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[x]/(6*2^(2/3)) + ArcTanh[x/(1 + 2^(1/3)*(1 - x^2)^(1/3))]/(2*2^(2/3))}
public void test00278() {
	check("Integrate[1/((1 - x^2)^(1/3)*(3 + x^2)), x]", "ArcTan[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) + ArcTan[(Sqrt[3]*(1 - 2^(1/3)*(1 - x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[x]/(6*2^(2/3)) + ArcTanh[x/(1 + 2^(1/3)*(1 - x^2)^(1/3))]/(2*2^(2/3))");

}

// {1/((3 - x^2)*(1 + x^2)^(1/3)), x, 1, -ArcTan[x]/(6*2^(2/3)) + ArcTan[x/(1 + 2^(1/3)*(1 + x^2)^(1/3))]/(2*2^(2/3)) - ArcTanh[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[(Sqrt[3]*(1 - 2^(1/3)*(1 + x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3])}
public void test00279() {
	check("Integrate[1/((3 - x^2)*(1 + x^2)^(1/3)), x]", "-ArcTan[x]/(6*2^(2/3)) + ArcTan[x/(1 + 2^(1/3)*(1 + x^2)^(1/3))]/(2*2^(2/3)) - ArcTanh[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[(Sqrt[3]*(1 - 2^(1/3)*(1 + x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3])");

}

// {x/(Sqrt[1 + x^3]*(10 + 6*Sqrt[3] + x^3)), x, 1, -((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(2*Sqrt[2]*3^(3/4)) - ((2 - Sqrt[3])*ArcTan[((1 - Sqrt[3])*Sqrt[1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3] - 2*x))/(Sqrt[2]*Sqrt[1 + x^3])])/(3*Sqrt[2]*3^(1/4)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(6*Sqrt[2]*3^(1/4))}
public void test00280() {
	check("Integrate[x/(Sqrt[1 + x^3]*(10 + 6*Sqrt[3] + x^3)), x]", "-((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(2*Sqrt[2]*3^(3/4)) - ((2 - Sqrt[3])*ArcTan[((1 - Sqrt[3])*Sqrt[1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3] - 2*x))/(Sqrt[2]*Sqrt[1 + x^3])])/(3*Sqrt[2]*3^(1/4)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(6*Sqrt[2]*3^(1/4))");

}

// {x/(Sqrt[1 + x^3]*(10 - 6*Sqrt[3] + x^3)), x, 1, -((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3] - 2*x))/(Sqrt[2]*Sqrt[1 + x^3])])/(3*Sqrt[2]*3^(1/4)) - ((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(6*Sqrt[2]*3^(1/4)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(2*Sqrt[2]*3^(3/4)) + ((2 + Sqrt[3])*ArcTanh[((1 + Sqrt[3])*Sqrt[1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4))}
public void test00281() {
	check("Integrate[x/(Sqrt[1 + x^3]*(10 - 6*Sqrt[3] + x^3)), x]", "-((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3] - 2*x))/(Sqrt[2]*Sqrt[1 + x^3])])/(3*Sqrt[2]*3^(1/4)) - ((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(6*Sqrt[2]*3^(1/4)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*(1 + x))/(Sqrt[2]*Sqrt[1 + x^3])])/(2*Sqrt[2]*3^(3/4)) + ((2 + Sqrt[3])*ArcTanh[((1 + Sqrt[3])*Sqrt[1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4))");

}

// {x/(Sqrt[-1 + x^3]*(-10 - 6*Sqrt[3] + x^3)), x, 1, ((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(6*Sqrt[2]*3^(1/4)) + ((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3] + 2*x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(3*Sqrt[2]*3^(1/4)) + ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(2*Sqrt[2]*3^(3/4)) - ((2 - Sqrt[3])*ArcTanh[((1 - Sqrt[3])*Sqrt[-1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4))}
public void test00282() {
	check("Integrate[x/(Sqrt[-1 + x^3]*(-10 - 6*Sqrt[3] + x^3)), x]", "((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(6*Sqrt[2]*3^(1/4)) + ((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3] + 2*x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(3*Sqrt[2]*3^(1/4)) + ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(2*Sqrt[2]*3^(3/4)) - ((2 - Sqrt[3])*ArcTanh[((1 - Sqrt[3])*Sqrt[-1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4))");

}

// {x/(Sqrt[-1 + x^3]*(-10 + 6*Sqrt[3] + x^3)), x, 1, -((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(2*Sqrt[2]*3^(3/4)) + ((2 + Sqrt[3])*ArcTan[((1 + Sqrt[3])*Sqrt[-1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(6*Sqrt[2]*3^(1/4)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3] + 2*x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(3*Sqrt[2]*3^(1/4))}
public void test00283() {
	check("Integrate[x/(Sqrt[-1 + x^3]*(-10 + 6*Sqrt[3] + x^3)), x]", "-((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(2*Sqrt[2]*3^(3/4)) + ((2 + Sqrt[3])*ArcTan[((1 + Sqrt[3])*Sqrt[-1 + x^3])/(Sqrt[2]*3^(3/4))])/(3*Sqrt[2]*3^(3/4)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*(1 - x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(6*Sqrt[2]*3^(1/4)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3] + 2*x))/(Sqrt[2]*Sqrt[-1 + x^3])])/(3*Sqrt[2]*3^(1/4))");

}

// {(-1 + x)/((1 + x)*(2 + x^3)^(1/3)), x, 1, Sqrt[3]*ArcTan[(1 + (2*(2 + x))/(2 + x^3)^(1/3))/Sqrt[3]] + Log[1 + x] - (3*Log[2 + x - (2 + x^3)^(1/3)])/2}
public void test00284() {
	check("Integrate[(-1 + x)/((1 + x)*(2 + x^3)^(1/3)), x]", "Sqrt[3]*ArcTan[(1 + (2*(2 + x))/(2 + x^3)^(1/3))/Sqrt[3]] + Log[1 + x] - (3*Log[2 + x - (2 + x^3)^(1/3)])/2");

}

// {0, x, 1, 0}
public void test00285() {
	check("Integrate[0, x]", "0");

}

// {1, x, 1, x}
public void test00286() {
	check("Integrate[1, x]", "x");

}

// {5, x, 1, 5*x}
public void test00287() {
	check("Integrate[5, x]", "5*x");

}

// {-2, x, 1, -2*x}
public void test00288() {
	check("Integrate[-2, x]", "-2*x");

}

// {-3/2, x, 1, (-3*x)/2}
public void test00289() {
	check("Integrate[-3/2, x]", "(-3*x)/2");

}

// {Pi, x, 1, Pi*x}
public void test00290() {
	check("Integrate[Pi, x]", "Pi*x");

}

// {a, x, 1, a*x}
public void test00291() {
	check("Integrate[a, x]", "a*x");

}

// {3*a, x, 1, 3*a*x}
public void test00292() {
	check("Integrate[3*a, x]", "3*a*x");

}

// {Pi/Sqrt[16 - E^2], x, 1, (Pi*x)/Sqrt[16 - E^2]}
public void test00293() {
	check("Integrate[Pi/Sqrt[16 - E^2], x]", "(Pi*x)/Sqrt[16 - E^2]");

}

// {x^100, x, 1, x^101/101}
public void test00294() {
	check("Integrate[x^100, x]", "x^101/101");

}

// {x^3, x, 1, x^4/4}
public void test00295() {
	check("Integrate[x^3, x]", "x^4/4");

}

// {x^2, x, 1, x^3/3}
public void test00296() {
	check("Integrate[x^2, x]", "x^3/3");

}

// {x, x, 1, x^2/2}
public void test00297() {
	check("Integrate[x, x]", "x^2/2");

}

// {1, x, 1, x}
public void test00298() {
	check("Integrate[1, x]", "x");

}

// {x^(-1), x, 1, Log[x]}
public void test00299() {
	check("Integrate[x^(-1), x]", "Log[x]");

}

// {x^(-2), x, 1, -x^(-1)}
public void test00300() {
	check("Integrate[x^(-2), x]", "-x^(-1)");

}

// {x^(-3), x, 1, -1/(2*x^2)}
public void test00301() {
	check("Integrate[x^(-3), x]", "-1/(2*x^2)");

}

// {x^(-4), x, 1, -1/(3*x^3)}
public void test00302() {
	check("Integrate[x^(-4), x]", "-1/(3*x^3)");

}

// {x^(-100), x, 1, -1/(99*x^99)}
public void test00303() {
	check("Integrate[x^(-100), x]", "-1/(99*x^99)");

}

// {x^(5/2), x, 1, (2*x^(7/2))/7}
public void test00304() {
	check("Integrate[x^(5/2), x]", "(2*x^(7/2))/7");

}

// {x^(3/2), x, 1, (2*x^(5/2))/5}
public void test00305() {
	check("Integrate[x^(3/2), x]", "(2*x^(5/2))/5");

}

// {Sqrt[x], x, 1, (2*x^(3/2))/3}
public void test00306() {
	check("Integrate[Sqrt[x], x]", "(2*x^(3/2))/3");

}

// {1/Sqrt[x], x, 1, 2*Sqrt[x]}
public void test00307() {
	check("Integrate[1/Sqrt[x], x]", "2*Sqrt[x]");

}

// {x^(-3/2), x, 1, -2/Sqrt[x]}
public void test00308() {
	check("Integrate[x^(-3/2), x]", "-2/Sqrt[x]");

}

// {x^(-5/2), x, 1, -2/(3*x^(3/2))}
public void test00309() {
	check("Integrate[x^(-5/2), x]", "-2/(3*x^(3/2))");

}

// {x^(5/3), x, 1, (3*x^(8/3))/8}
public void test00310() {
	check("Integrate[x^(5/3), x]", "(3*x^(8/3))/8");

}

// {x^(4/3), x, 1, (3*x^(7/3))/7}
public void test00311() {
	check("Integrate[x^(4/3), x]", "(3*x^(7/3))/7");

}

// {x^(2/3), x, 1, (3*x^(5/3))/5}
public void test00312() {
	check("Integrate[x^(2/3), x]", "(3*x^(5/3))/5");

}

// {x^(1/3), x, 1, (3*x^(4/3))/4}
public void test00313() {
	check("Integrate[x^(1/3), x]", "(3*x^(4/3))/4");

}

// {x^(-1/3), x, 1, (3*x^(2/3))/2}
public void test00314() {
	check("Integrate[x^(-1/3), x]", "(3*x^(2/3))/2");

}

// {x^(-2/3), x, 1, 3*x^(1/3)}
public void test00315() {
	check("Integrate[x^(-2/3), x]", "3*x^(1/3)");

}

// {x^(-4/3), x, 1, -3/x^(1/3)}
public void test00316() {
	check("Integrate[x^(-4/3), x]", "-3/x^(1/3)");

}

// {x^(-5/3), x, 1, -3/(2*x^(2/3))}
public void test00317() {
	check("Integrate[x^(-5/3), x]", "-3/(2*x^(2/3))");

}

// {x^n, x, 1, x^(1 + n)/(1 + n)}
public void test00318() {
	check("Integrate[x^n, x]", "x^(1 + n)/(1 + n)");

}

// {(b*x)^n, x, 1, (b*x)^(1 + n)/(b*(1 + n))}
public void test00319() {
	check("Integrate[(b*x)^n, x]", "(b*x)^(1 + n)/(b*(1 + n))");

}

// {a + b*x, x, 1, a*x + (b*x^2)/2}
public void test00320() {
	check("Integrate[a + b*x, x]", "a*x + (b*x^2)/2");

}

// {(a + b*x)/x^3, x, 1, -(a + b*x)^2/(2*a*x^2)}
public void test00321() {
	check("Integrate[(a + b*x)/x^3, x]", "-(a + b*x)^2/(2*a*x^2)");

}

// {(a + b*x)^2, x, 1, (a + b*x)^3/(3*b)}
public void test00322() {
	check("Integrate[(a + b*x)^2, x]", "(a + b*x)^3/(3*b)");

}

// {(a + b*x)^2/x^4, x, 1, -(a + b*x)^3/(3*a*x^3)}
public void test00323() {
	check("Integrate[(a + b*x)^2/x^4, x]", "-(a + b*x)^3/(3*a*x^3)");

}

// {(a + b*x)^3, x, 1, (a + b*x)^4/(4*b)}
public void test00324() {
	check("Integrate[(a + b*x)^3, x]", "(a + b*x)^4/(4*b)");

}

// {(a + b*x)^3/x^5, x, 1, -(a + b*x)^4/(4*a*x^4)}
public void test00325() {
	check("Integrate[(a + b*x)^3/x^5, x]", "-(a + b*x)^4/(4*a*x^4)");

}

// {(a + b*x)^5, x, 1, (a + b*x)^6/(6*b)}
public void test00326() {
	check("Integrate[(a + b*x)^5, x]", "(a + b*x)^6/(6*b)");

}

// {(a + b*x)^5/x^7, x, 1, -(a + b*x)^6/(6*a*x^6)}
public void test00327() {
	check("Integrate[(a + b*x)^5/x^7, x]", "-(a + b*x)^6/(6*a*x^6)");

}

// {(a + b*x)^7, x, 1, (a + b*x)^8/(8*b)}
public void test00328() {
	check("Integrate[(a + b*x)^7, x]", "(a + b*x)^8/(8*b)");

}

// {(a + b*x)^7/x^9, x, 1, -(a + b*x)^8/(8*a*x^8)}
public void test00329() {
	check("Integrate[(a + b*x)^7/x^9, x]", "-(a + b*x)^8/(8*a*x^8)");

}

// {(a + b*x)^10, x, 1, (a + b*x)^11/(11*b)}
public void test00330() {
	check("Integrate[(a + b*x)^10, x]", "(a + b*x)^11/(11*b)");

}

// {(a + b*x)^10/x^12, x, 1, -(a + b*x)^11/(11*a*x^11)}
public void test00331() {
	check("Integrate[(a + b*x)^10/x^12, x]", "-(a + b*x)^11/(11*a*x^11)");

}

// {c*(a + b*x), x, 1, (c*(a + b*x)^2)/(2*b)}
public void test00332() {
	check("Integrate[c*(a + b*x), x]", "(c*(a + b*x)^2)/(2*b)");

}

// {((c + d)*(a + b*x))/e, x, 1, ((c + d)*(a + b*x)^2)/(2*b*e)}
public void test00333() {
	check("Integrate[((c + d)*(a + b*x))/e, x]", "((c + d)*(a + b*x)^2)/(2*b*e)");

}

// {(a + b*x)^(-1), x, 1, Log[a + b*x]/b}
public void test00334() {
	check("Integrate[(a + b*x)^(-1), x]", "Log[a + b*x]/b");

}

// {(a + b*x)^(-2), x, 1, -(1/(b*(a + b*x)))}
public void test00335() {
	check("Integrate[(a + b*x)^(-2), x]", "-(1/(b*(a + b*x)))");

}

// {x/(a + b*x)^3, x, 1, x^2/(2*a*(a + b*x)^2)}
public void test00336() {
	check("Integrate[x/(a + b*x)^3, x]", "x^2/(2*a*(a + b*x)^2)");

}

// {(a + b*x)^(-3), x, 1, -1/(2*b*(a + b*x)^2)}
public void test00337() {
	check("Integrate[(a + b*x)^(-3), x]", "-1/(2*b*(a + b*x)^2)");

}

// {x^2/(a + b*x)^4, x, 1, x^3/(3*a*(a + b*x)^3)}
public void test00338() {
	check("Integrate[x^2/(a + b*x)^4, x]", "x^3/(3*a*(a + b*x)^3)");

}

// {(a + b*x)^(-4), x, 1, -1/(3*b*(a + b*x)^3)}
public void test00339() {
	check("Integrate[(a + b*x)^(-4), x]", "-1/(3*b*(a + b*x)^3)");

}

// {x^5/(a + b*x)^7, x, 1, x^6/(6*a*(a + b*x)^6)}
public void test00340() {
	check("Integrate[x^5/(a + b*x)^7, x]", "x^6/(6*a*(a + b*x)^6)");

}

// {(a + b*x)^(-7), x, 1, -1/(6*b*(a + b*x)^6)}
public void test00341() {
	check("Integrate[(a + b*x)^(-7), x]", "-1/(6*b*(a + b*x)^6)");

}

// {x^8/(a + b*x)^10, x, 1, x^9/(9*a*(a + b*x)^9)}
public void test00342() {
	check("Integrate[x^8/(a + b*x)^10, x]", "x^9/(9*a*(a + b*x)^9)");

}

// {(a + b*x)^(-10), x, 1, -1/(9*b*(a + b*x)^9)}
public void test00343() {
	check("Integrate[(a + b*x)^(-10), x]", "-1/(9*b*(a + b*x)^9)");

}

// {(a + b*x)^8/x^10, x, 1, -(a + b*x)^9/(9*a*x^9)}
public void test00344() {
	check("Integrate[(a + b*x)^8/x^10, x]", "-(a + b*x)^9/(9*a*x^9)");

}

// {x^(-10), x, 1, -1/(9*x^9)}
public void test00345() {
	check("Integrate[x^(-10), x]", "-1/(9*x^9)");

}

// {(2 + 2*x)^(-1), x, 1, Log[1 + x]/2}
public void test00346() {
	check("Integrate[(2 + 2*x)^(-1), x]", "Log[1 + x]/2");

}

// {(4 - 6*x)^(-1), x, 1, -Log[2 - 3*x]/6}
public void test00347() {
	check("Integrate[(4 - 6*x)^(-1), x]", "-Log[2 - 3*x]/6");

}

// {(a + Sqrt[a]*x)^(-1), x, 1, Log[Sqrt[a] + x]/Sqrt[a]}
public void test00348() {
	check("Integrate[(a + Sqrt[a]*x)^(-1), x]", "Log[Sqrt[a] + x]/Sqrt[a]");

}

// {(a + Sqrt[-a]*x)^(-1), x, 1, Log[a + Sqrt[-a]*x]/Sqrt[-a]}
public void test00349() {
	check("Integrate[(a + Sqrt[-a]*x)^(-1), x]", "Log[a + Sqrt[-a]*x]/Sqrt[-a]");

}

// {(a^2 + Sqrt[-a]*x)^(-1), x, 1, Log[a^2 + Sqrt[-a]*x]/Sqrt[-a]}
public void test00350() {
	check("Integrate[(a^2 + Sqrt[-a]*x)^(-1), x]", "Log[a^2 + Sqrt[-a]*x]/Sqrt[-a]");

}

// {(a^3 + Sqrt[-a]*x)^(-1), x, 1, Log[a^3 + Sqrt[-a]*x]/Sqrt[-a]}
public void test00351() {
	check("Integrate[(a^3 + Sqrt[-a]*x)^(-1), x]", "Log[a^3 + Sqrt[-a]*x]/Sqrt[-a]");

}

// {(a^(-1) + Sqrt[-a]*x)^(-1), x, 1, Log[1 - (-a)^(3/2)*x]/Sqrt[-a]}
public void test00352() {
	check("Integrate[(a^(-1) + Sqrt[-a]*x)^(-1), x]", "Log[1 - (-a)^(3/2)*x]/Sqrt[-a]");

}

// {(a^(-2) + Sqrt[-a]*x)^(-1), x, 1, Log[1 + (-a)^(5/2)*x]/Sqrt[-a]}
public void test00353() {
	check("Integrate[(a^(-2) + Sqrt[-a]*x)^(-1), x]", "Log[1 + (-a)^(5/2)*x]/Sqrt[-a]");

}

// {Sqrt[a + b*x], x, 1, (2*(a + b*x)^(3/2))/(3*b)}
public void test00354() {
	check("Integrate[Sqrt[a + b*x], x]", "(2*(a + b*x)^(3/2))/(3*b)");

}

// {(a + b*x)^(3/2), x, 1, (2*(a + b*x)^(5/2))/(5*b)}
public void test00355() {
	check("Integrate[(a + b*x)^(3/2), x]", "(2*(a + b*x)^(5/2))/(5*b)");

}

// {(a + b*x)^(5/2), x, 1, (2*(a + b*x)^(7/2))/(7*b)}
public void test00356() {
	check("Integrate[(a + b*x)^(5/2), x]", "(2*(a + b*x)^(7/2))/(7*b)");

}

// {(a + b*x)^(9/2), x, 1, (2*(a + b*x)^(11/2))/(11*b)}
public void test00357() {
	check("Integrate[(a + b*x)^(9/2), x]", "(2*(a + b*x)^(11/2))/(11*b)");

}

// {1/Sqrt[a + b*x], x, 1, (2*Sqrt[a + b*x])/b}
public void test00358() {
	check("Integrate[1/Sqrt[a + b*x], x]", "(2*Sqrt[a + b*x])/b");

}

// {(a + b*x)^(-3/2), x, 1, -2/(b*Sqrt[a + b*x])}
public void test00359() {
	check("Integrate[(a + b*x)^(-3/2), x]", "-2/(b*Sqrt[a + b*x])");

}

// {(a + b*x)^(-5/2), x, 1, -2/(3*b*(a + b*x)^(3/2))}
public void test00360() {
	check("Integrate[(a + b*x)^(-5/2), x]", "-2/(3*b*(a + b*x)^(3/2))");

}

// {(a + b*x)^(1/3), x, 1, (3*(a + b*x)^(4/3))/(4*b)}
public void test00361() {
	check("Integrate[(a + b*x)^(1/3), x]", "(3*(a + b*x)^(4/3))/(4*b)");

}

// {(a + b*x)^(2/3), x, 1, (3*(a + b*x)^(5/3))/(5*b)}
public void test00362() {
	check("Integrate[(a + b*x)^(2/3), x]", "(3*(a + b*x)^(5/3))/(5*b)");

}

// {(a + b*x)^(4/3), x, 1, (3*(a + b*x)^(7/3))/(7*b)}
public void test00363() {
	check("Integrate[(a + b*x)^(4/3), x]", "(3*(a + b*x)^(7/3))/(7*b)");

}

// {(a + b*x)^(-1/3), x, 1, (3*(a + b*x)^(2/3))/(2*b)}
public void test00364() {
	check("Integrate[(a + b*x)^(-1/3), x]", "(3*(a + b*x)^(2/3))/(2*b)");

}

// {(-a + b*x)^(-1/3), x, 1, (3*(-a + b*x)^(2/3))/(2*b)}
public void test00365() {
	check("Integrate[(-a + b*x)^(-1/3), x]", "(3*(-a + b*x)^(2/3))/(2*b)");

}

// {(a + b*x)^(-2/3), x, 1, (3*(a + b*x)^(1/3))/b}
public void test00366() {
	check("Integrate[(a + b*x)^(-2/3), x]", "(3*(a + b*x)^(1/3))/b");

}

// {(a + b*x)^(-4/3), x, 1, -3/(b*(a + b*x)^(1/3))}
public void test00367() {
	check("Integrate[(a + b*x)^(-4/3), x]", "-3/(b*(a + b*x)^(1/3))");

}

// {Sqrt[a + b*x]/x^(5/2), x, 1, (-2*(a + b*x)^(3/2))/(3*a*x^(3/2))}
public void test00368() {
	check("Integrate[Sqrt[a + b*x]/x^(5/2), x]", "(-2*(a + b*x)^(3/2))/(3*a*x^(3/2))");

}

// {Sqrt[a - b*x]/x^(5/2), x, 1, (-2*(a - b*x)^(3/2))/(3*a*x^(3/2))}
public void test00369() {
	check("Integrate[Sqrt[a - b*x]/x^(5/2), x]", "(-2*(a - b*x)^(3/2))/(3*a*x^(3/2))");

}

// {Sqrt[2 + b*x]/x^(5/2), x, 1, -(2 + b*x)^(3/2)/(3*x^(3/2))}
public void test00370() {
	check("Integrate[Sqrt[2 + b*x]/x^(5/2), x]", "-(2 + b*x)^(3/2)/(3*x^(3/2))");

}

// {Sqrt[2 - b*x]/x^(5/2), x, 1, -(2 - b*x)^(3/2)/(3*x^(3/2))}
public void test00371() {
	check("Integrate[Sqrt[2 - b*x]/x^(5/2), x]", "-(2 - b*x)^(3/2)/(3*x^(3/2))");

}

// {1/(x^(3/2)*Sqrt[a + b*x]), x, 1, (-2*Sqrt[a + b*x])/(a*Sqrt[x])}
public void test00372() {
	check("Integrate[1/(x^(3/2)*Sqrt[a + b*x]), x]", "(-2*Sqrt[a + b*x])/(a*Sqrt[x])");

}

// {1/(Sqrt[x]*(a + b*x)^(3/2)), x, 1, (2*Sqrt[x])/(a*Sqrt[a + b*x])}
public void test00373() {
	check("Integrate[1/(Sqrt[x]*(a + b*x)^(3/2)), x]", "(2*Sqrt[x])/(a*Sqrt[a + b*x])");

}

// {Sqrt[x]/(a + b*x)^(5/2), x, 1, (2*x^(3/2))/(3*a*(a + b*x)^(3/2))}
public void test00374() {
	check("Integrate[Sqrt[x]/(a + b*x)^(5/2), x]", "(2*x^(3/2))/(3*a*(a + b*x)^(3/2))");

}

// {1/(x^(3/2)*Sqrt[a - b*x]), x, 1, (-2*Sqrt[a - b*x])/(a*Sqrt[x])}
public void test00375() {
	check("Integrate[1/(x^(3/2)*Sqrt[a - b*x]), x]", "(-2*Sqrt[a - b*x])/(a*Sqrt[x])");

}

// {1/(Sqrt[x]*(a - b*x)^(3/2)), x, 1, (2*Sqrt[x])/(a*Sqrt[a - b*x])}
public void test00376() {
	check("Integrate[1/(Sqrt[x]*(a - b*x)^(3/2)), x]", "(2*Sqrt[x])/(a*Sqrt[a - b*x])");

}

// {Sqrt[x]/(a - b*x)^(5/2), x, 1, (2*x^(3/2))/(3*a*(a - b*x)^(3/2))}
public void test00377() {
	check("Integrate[Sqrt[x]/(a - b*x)^(5/2), x]", "(2*x^(3/2))/(3*a*(a - b*x)^(3/2))");

}

// {1/(x^(3/2)*Sqrt[2 + b*x]), x, 1, -(Sqrt[2 + b*x]/Sqrt[x])}
public void test00378() {
	check("Integrate[1/(x^(3/2)*Sqrt[2 + b*x]), x]", "-(Sqrt[2 + b*x]/Sqrt[x])");

}

// {1/(Sqrt[x]*(2 + b*x)^(3/2)), x, 1, Sqrt[x]/Sqrt[2 + b*x]}
public void test00379() {
	check("Integrate[1/(Sqrt[x]*(2 + b*x)^(3/2)), x]", "Sqrt[x]/Sqrt[2 + b*x]");

}

// {Sqrt[x]/(2 + b*x)^(5/2), x, 1, x^(3/2)/(3*(2 + b*x)^(3/2))}
public void test00380() {
	check("Integrate[Sqrt[x]/(2 + b*x)^(5/2), x]", "x^(3/2)/(3*(2 + b*x)^(3/2))");

}

// {1/(x^(3/2)*Sqrt[2 - b*x]), x, 1, -(Sqrt[2 - b*x]/Sqrt[x])}
public void test00381() {
	check("Integrate[1/(x^(3/2)*Sqrt[2 - b*x]), x]", "-(Sqrt[2 - b*x]/Sqrt[x])");

}

// {1/(Sqrt[x]*(2 - b*x)^(3/2)), x, 1, Sqrt[x]/Sqrt[2 - b*x]}
public void test00382() {
	check("Integrate[1/(Sqrt[x]*(2 - b*x)^(3/2)), x]", "Sqrt[x]/Sqrt[2 - b*x]");

}

// {Sqrt[x]/(2 - b*x)^(5/2), x, 1, x^(3/2)/(3*(2 - b*x)^(3/2))}
public void test00383() {
	check("Integrate[Sqrt[x]/(2 - b*x)^(5/2), x]", "x^(3/2)/(3*(2 - b*x)^(3/2))");

}

// {x^m/(a + b*x), x, 1, (x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*(1 + m))}
public void test00384() {
	check("Integrate[x^m/(a + b*x), x]", "(x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*(1 + m))");

}

// {x^m/(a + b*x)^2, x, 1, (x^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((b*x)/a)])/(a^2*(1 + m))}
public void test00385() {
	check("Integrate[x^m/(a + b*x)^2, x]", "(x^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((b*x)/a)])/(a^2*(1 + m))");

}

// {x^m/(a + b*x)^3, x, 1, (x^(1 + m)*Hypergeometric2F1[3, 1 + m, 2 + m, -((b*x)/a)])/(a^3*(1 + m))}
public void test00386() {
	check("Integrate[x^m/(a + b*x)^3, x]", "(x^(1 + m)*Hypergeometric2F1[3, 1 + m, 2 + m, -((b*x)/a)])/(a^3*(1 + m))");

}

// {x^m/Sqrt[2 + 3*x], x, 1, (x^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (-3*x)/2])/(Sqrt[2]*(1 + m))}
public void test00387() {
	check("Integrate[x^m/Sqrt[2 + 3*x], x]", "(x^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (-3*x)/2])/(Sqrt[2]*(1 + m))");

}

// {x^m/Sqrt[2 - 3*x], x, 1, (x^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (3*x)/2])/(Sqrt[2]*(1 + m))}
public void test00388() {
	check("Integrate[x^m/Sqrt[2 - 3*x], x]", "(x^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (3*x)/2])/(Sqrt[2]*(1 + m))");

}

// {x^m/Sqrt[-2 + 3*x], x, 1, (3/2)^(-1 - m)*Sqrt[-2 + 3*x]*Hypergeometric2F1[1/2, -m, 3/2, 1 - (3*x)/2]}
public void test00389() {
	check("Integrate[x^m/Sqrt[-2 + 3*x], x]", "(3/2)^(-1 - m)*Sqrt[-2 + 3*x]*Hypergeometric2F1[1/2, -m, 3/2, 1 - (3*x)/2]");

}

// {(-x)^m/Sqrt[2 + 3*x], x, 1, -(((-x)^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (-3*x)/2])/(Sqrt[2]*(1 + m)))}
public void test00390() {
	check("Integrate[(-x)^m/Sqrt[2 + 3*x], x]", "-(((-x)^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (-3*x)/2])/(Sqrt[2]*(1 + m)))");

}

// {(-x)^m/Sqrt[2 - 3*x], x, 1, -(((-x)^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (3*x)/2])/(Sqrt[2]*(1 + m)))}
public void test00391() {
	check("Integrate[(-x)^m/Sqrt[2 - 3*x], x]", "-(((-x)^(1 + m)*Hypergeometric2F1[1/2, 1 + m, 2 + m, (3*x)/2])/(Sqrt[2]*(1 + m)))");

}

// {(-x)^m/Sqrt[-2 - 3*x], x, 1, -((3/2)^(-1 - m)*Sqrt[-2 - 3*x]*Hypergeometric2F1[1/2, -m, 3/2, 1 + (3*x)/2])}
public void test00392() {
	check("Integrate[(-x)^m/Sqrt[-2 - 3*x], x]", "-((3/2)^(-1 - m)*Sqrt[-2 - 3*x]*Hypergeometric2F1[1/2, -m, 3/2, 1 + (3*x)/2])");

}

// {x^n/Sqrt[1 - x], x, 1, -2*Sqrt[1 - x]*Hypergeometric2F1[1/2, -n, 3/2, 1 - x]}
public void test00393() {
	check("Integrate[x^n/Sqrt[1 - x], x]", "-2*Sqrt[1 - x]*Hypergeometric2F1[1/2, -n, 3/2, 1 - x]");

}

// {x^n/Sqrt[a - a*x], x, 1, (-2*Sqrt[a - a*x]*Hypergeometric2F1[1/2, -n, 3/2, 1 - x])/a}
public void test00394() {
	check("Integrate[x^n/Sqrt[a - a*x], x]", "(-2*Sqrt[a - a*x]*Hypergeometric2F1[1/2, -n, 3/2, 1 - x])/a");

}

// {(a + b*x)^n, x, 1, (a + b*x)^(1 + n)/(b*(1 + n))}
public void test00395() {
	check("Integrate[(a + b*x)^n, x]", "(a + b*x)^(1 + n)/(b*(1 + n))");

}

// {(a + b*x)^n/x, x, 1, -(((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*(1 + n)))}
public void test00396() {
	check("Integrate[(a + b*x)^n/x, x]", "-(((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*(1 + n)))");

}

// {(a + b*x)^n/x^2, x, 1, (b*(a + b*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*(1 + n))}
public void test00397() {
	check("Integrate[(a + b*x)^n/x^2, x]", "(b*(a + b*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*(1 + n))");

}

// {(a + b*x)^n/x^3, x, 1, -((b^2*(a + b*x)^(1 + n)*Hypergeometric2F1[3, 1 + n, 2 + n, 1 + (b*x)/a])/(a^3*(1 + n)))}
public void test00398() {
	check("Integrate[(a + b*x)^n/x^3, x]", "-((b^2*(a + b*x)^(1 + n)*Hypergeometric2F1[3, 1 + n, 2 + n, 1 + (b*x)/a])/(a^3*(1 + n)))");

}

// {x^(-2 + n)/(a + b*x)^n, x, 1, -((x^(-1 + n)*(a + b*x)^(1 - n))/(a*(1 - n)))}
public void test00399() {
	check("Integrate[x^(-2 + n)/(a + b*x)^n, x]", "-((x^(-1 + n)*(a + b*x)^(1 - n))/(a*(1 - n)))");

}

// {(b*x)^m*(2 + d*x)^n, x, 1, (2^n*(b*x)^(1 + m)*Hypergeometric2F1[1 + m, -n, 2 + m, -(d*x)/2])/(b*(1 + m))}
public void test00400() {
	check("Integrate[(b*x)^m*(2 + d*x)^n, x]", "(2^n*(b*x)^(1 + m)*Hypergeometric2F1[1 + m, -n, 2 + m, -(d*x)/2])/(b*(1 + m))");

}

// {(b*x)^m*(c - b*c*x)^n, x, 1, -(((c - b*c*x)^(1 + n)*Hypergeometric2F1[-m, 1 + n, 2 + n, 1 - b*x])/(b*c*(1 + n)))}
public void test00401() {
	check("Integrate[(b*x)^m*(c - b*c*x)^n, x]", "-(((c - b*c*x)^(1 + n)*Hypergeometric2F1[-m, 1 + n, 2 + n, 1 - b*x])/(b*c*(1 + n)))");

}

// {x^(-1 + n)*(a + b*x)^(-1 - n), x, 1, x^n/(a*n*(a + b*x)^n)}
public void test00402() {
	check("Integrate[x^(-1 + n)*(a + b*x)^(-1 - n), x]", "x^n/(a*n*(a + b*x)^n)");

}

// {a + b*x, x, 1, a*x + (b*x^2)/2}
public void test00403() {
	check("Integrate[a + b*x, x]", "a*x + (b*x^2)/2");

}

// {(a + b*x)/(a*c - b*c*x)^3, x, 1, x/(c^3*(a - b*x)^2)}
public void test00404() {
	check("Integrate[(a + b*x)/(a*c - b*c*x)^3, x]", "x/(c^3*(a - b*x)^2)");

}

// {(a + b*x)^2, x, 1, (a + b*x)^3/(3*b)}
public void test00405() {
	check("Integrate[(a + b*x)^2, x]", "(a + b*x)^3/(3*b)");

}

// {(a + b*x)^2/(a*c - b*c*x)^4, x, 1, (a + b*x)^3/(6*a*b*c^4*(a - b*x)^3)}
public void test00406() {
	check("Integrate[(a + b*x)^2/(a*c - b*c*x)^4, x]", "(a + b*x)^3/(6*a*b*c^4*(a - b*x)^3)");

}

// {(a + b*x)^(-1), x, 1, Log[a + b*x]/b}
public void test00407() {
	check("Integrate[(a + b*x)^(-1), x]", "Log[a + b*x]/b");

}

// {(a + b*x)^(-2), x, 1, -(1/(b*(a + b*x)))}
public void test00408() {
	check("Integrate[(a + b*x)^(-2), x]", "-(1/(b*(a + b*x)))");

}

// {Sqrt[1 + x]/(1 - x)^(5/2), x, 1, (1 + x)^(3/2)/(3*(1 - x)^(3/2))}
public void test00409() {
	check("Integrate[Sqrt[1 + x]/(1 - x)^(5/2), x]", "(1 + x)^(3/2)/(3*(1 - x)^(3/2))");

}

// {(1 + x)^(3/2)/(1 - x)^(7/2), x, 1, (1 + x)^(5/2)/(5*(1 - x)^(5/2))}
public void test00410() {
	check("Integrate[(1 + x)^(3/2)/(1 - x)^(7/2), x]", "(1 + x)^(5/2)/(5*(1 - x)^(5/2))");

}

// {(1 + x)^(5/2)/(1 - x)^(9/2), x, 1, (1 + x)^(7/2)/(7*(1 - x)^(7/2))}
public void test00411() {
	check("Integrate[(1 + x)^(5/2)/(1 - x)^(9/2), x]", "(1 + x)^(7/2)/(7*(1 - x)^(7/2))");

}

// {1/((1 - x)^(3/2)*Sqrt[1 + x]), x, 1, Sqrt[1 + x]/Sqrt[1 - x]}
public void test00412() {
	check("Integrate[1/((1 - x)^(3/2)*Sqrt[1 + x]), x]", "Sqrt[1 + x]/Sqrt[1 - x]");

}

// {1/(Sqrt[1 - x]*(1 + x)^(3/2)), x, 1, -(Sqrt[1 - x]/Sqrt[1 + x])}
public void test00413() {
	check("Integrate[1/(Sqrt[1 - x]*(1 + x)^(3/2)), x]", "-(Sqrt[1 - x]/Sqrt[1 + x])");

}

// {1/((1 - x)^(3/2)*(1 + x)^(3/2)), x, 1, x/(Sqrt[1 - x]*Sqrt[1 + x])}
public void test00414() {
	check("Integrate[1/((1 - x)^(3/2)*(1 + x)^(3/2)), x]", "x/(Sqrt[1 - x]*Sqrt[1 + x])");

}

// {Sqrt[1 - x]/(1 + x)^(5/2), x, 1, -(1 - x)^(3/2)/(3*(1 + x)^(3/2))}
public void test00415() {
	check("Integrate[Sqrt[1 - x]/(1 + x)^(5/2), x]", "-(1 - x)^(3/2)/(3*(1 + x)^(3/2))");

}

// {1/((a + a*x)^(3/2)*(c - c*x)^(3/2)), x, 1, x/(a*c*Sqrt[a + a*x]*Sqrt[c - c*x])}
public void test00416() {
	check("Integrate[1/((a + a*x)^(3/2)*(c - c*x)^(3/2)), x]", "x/(a*c*Sqrt[a + a*x]*Sqrt[c - c*x])");

}

// {1/((a + b*x)^(3/2)*(a*c - b*c*x)^(3/2)), x, 1, x/(a^2*c*Sqrt[a + b*x]*Sqrt[a*c - b*c*x])}
public void test00417() {
	check("Integrate[1/((a + b*x)^(3/2)*(a*c - b*c*x)^(3/2)), x]", "x/(a^2*c*Sqrt[a + b*x]*Sqrt[a*c - b*c*x])");

}

// {1/((3 - 6*x)^(3/2)*(2 + 4*x)^(3/2)), x, 1, x/(6*Sqrt[6]*Sqrt[1 - 2*x]*Sqrt[1 + 2*x])}
public void test00418() {
	check("Integrate[1/((3 - 6*x)^(3/2)*(2 + 4*x)^(3/2)), x]", "x/(6*Sqrt[6]*Sqrt[1 - 2*x]*Sqrt[1 + 2*x])");

}

// {1/((3 - x)^(3/2)*(3 + x)^(3/2)), x, 1, x/(9*Sqrt[3 - x]*Sqrt[3 + x])}
public void test00419() {
	check("Integrate[1/((3 - x)^(3/2)*(3 + x)^(3/2)), x]", "x/(9*Sqrt[3 - x]*Sqrt[3 + x])");

}

// {1/((3 - b*x)^(3/2)*(3 + b*x)^(3/2)), x, 1, x/(9*Sqrt[3 - b*x]*Sqrt[3 + b*x])}
public void test00420() {
	check("Integrate[1/((3 - b*x)^(3/2)*(3 + b*x)^(3/2)), x]", "x/(9*Sqrt[3 - b*x]*Sqrt[3 + b*x])");

}

// {1/((6 - 2*x)^(3/2)*(3 + x)^(3/2)), x, 1, x/(18*Sqrt[2]*Sqrt[3 - x]*Sqrt[3 + x])}
public void test00421() {
	check("Integrate[1/((6 - 2*x)^(3/2)*(3 + x)^(3/2)), x]", "x/(18*Sqrt[2]*Sqrt[3 - x]*Sqrt[3 + x])");

}

// {1/((6 - 2*b*x)^(3/2)*(3 + b*x)^(3/2)), x, 1, x/(18*Sqrt[2]*Sqrt[3 - b*x]*Sqrt[3 + b*x])}
public void test00422() {
	check("Integrate[1/((6 - 2*b*x)^(3/2)*(3 + b*x)^(3/2)), x]", "x/(18*Sqrt[2]*Sqrt[3 - b*x]*Sqrt[3 + b*x])");

}

// {1/((a - I*a*x)^(7/4)*(a + I*a*x)^(1/4)), x, 1, (((-2*I)/3)*(a + I*a*x)^(3/4))/(a^2*(a - I*a*x)^(3/4))}
public void test00423() {
	check("Integrate[1/((a - I*a*x)^(7/4)*(a + I*a*x)^(1/4)), x]", "(((-2*I)/3)*(a + I*a*x)^(3/4))/(a^2*(a - I*a*x)^(3/4))");

}

// {1/((a - I*a*x)^(5/4)*(a + I*a*x)^(3/4)), x, 1, ((-2*I)*(a + I*a*x)^(1/4))/(a^2*(a - I*a*x)^(1/4))}
public void test00424() {
	check("Integrate[1/((a - I*a*x)^(5/4)*(a + I*a*x)^(3/4)), x]", "((-2*I)*(a + I*a*x)^(1/4))/(a^2*(a - I*a*x)^(1/4))");

}

// {1/((a - I*a*x)^(1/4)*(a + I*a*x)^(7/4)), x, 1, (((2*I)/3)*(a - I*a*x)^(3/4))/(a^2*(a + I*a*x)^(3/4))}
public void test00425() {
	check("Integrate[1/((a - I*a*x)^(1/4)*(a + I*a*x)^(7/4)), x]", "(((2*I)/3)*(a - I*a*x)^(3/4))/(a^2*(a + I*a*x)^(3/4))");

}

// {1/((a - I*a*x)^(3/4)*(a + I*a*x)^(5/4)), x, 1, ((2*I)*(a - I*a*x)^(1/4))/(a^2*(a + I*a*x)^(1/4))}
public void test00426() {
	check("Integrate[1/((a - I*a*x)^(3/4)*(a + I*a*x)^(5/4)), x]", "((2*I)*(a - I*a*x)^(1/4))/(a^2*(a + I*a*x)^(1/4))");

}

// {(a - I*a*x)^(1/4)/(a + I*a*x)^(9/4), x, 1, (((2*I)/5)*(a - I*a*x)^(5/4))/(a^2*(a + I*a*x)^(5/4))}
public void test00427() {
	check("Integrate[(a - I*a*x)^(1/4)/(a + I*a*x)^(9/4), x]", "(((2*I)/5)*(a - I*a*x)^(5/4))/(a^2*(a + I*a*x)^(5/4))");

}

// {(a*c - b*c*x)^n/(a + b*x), x, 1, -((a*c - b*c*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, (a - b*x)/(2*a)])/(2*a*b*c*(1 + n))}
public void test00428() {
	check("Integrate[(a*c - b*c*x)^n/(a + b*x), x]", "-((a*c - b*c*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, (a - b*x)/(2*a)])/(2*a*b*c*(1 + n))");

}

// {(a*c - b*c*x)^n/(a + b*x)^2, x, 1, -((a*c - b*c*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, (a - b*x)/(2*a)])/(4*a^2*b*c*(1 + n))}
public void test00429() {
	check("Integrate[(a*c - b*c*x)^n/(a + b*x)^2, x]", "-((a*c - b*c*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, (a - b*x)/(2*a)])/(4*a^2*b*c*(1 + n))");

}

// {c + d*x, x, 1, c*x + (d*x^2)/2}
public void test00430() {
	check("Integrate[c + d*x, x]", "c*x + (d*x^2)/2");

}

// {(c + d*x)/(a + b*x)^3, x, 1, -(c + d*x)^2/(2*(b*c - a*d)*(a + b*x)^2)}
public void test00431() {
	check("Integrate[(c + d*x)/(a + b*x)^3, x]", "-(c + d*x)^2/(2*(b*c - a*d)*(a + b*x)^2)");

}

// {(c + d*x)^2, x, 1, (c + d*x)^3/(3*d)}
public void test00432() {
	check("Integrate[(c + d*x)^2, x]", "(c + d*x)^3/(3*d)");

}

// {(c + d*x)^2/(a + b*x)^4, x, 1, -(c + d*x)^3/(3*(b*c - a*d)*(a + b*x)^3)}
public void test00433() {
	check("Integrate[(c + d*x)^2/(a + b*x)^4, x]", "-(c + d*x)^3/(3*(b*c - a*d)*(a + b*x)^3)");

}

// {(c + d*x)^3, x, 1, (c + d*x)^4/(4*d)}
public void test00434() {
	check("Integrate[(c + d*x)^3, x]", "(c + d*x)^4/(4*d)");

}

// {(c + d*x)^3/(a + b*x)^5, x, 1, -(c + d*x)^4/(4*(b*c - a*d)*(a + b*x)^4)}
public void test00435() {
	check("Integrate[(c + d*x)^3/(a + b*x)^5, x]", "-(c + d*x)^4/(4*(b*c - a*d)*(a + b*x)^4)");

}

// {(c + d*x)^7, x, 1, (c + d*x)^8/(8*d)}
public void test00436() {
	check("Integrate[(c + d*x)^7, x]", "(c + d*x)^8/(8*d)");

}

// {(c + d*x)^7/(a + b*x)^9, x, 1, -(c + d*x)^8/(8*(b*c - a*d)*(a + b*x)^8)}
public void test00437() {
	check("Integrate[(c + d*x)^7/(a + b*x)^9, x]", "-(c + d*x)^8/(8*(b*c - a*d)*(a + b*x)^8)");

}

// {(c + d*x)^10, x, 1, (c + d*x)^11/(11*d)}
public void test00438() {
	check("Integrate[(c + d*x)^10, x]", "(c + d*x)^11/(11*d)");

}

// {(c + d*x)^10/(a + b*x)^12, x, 1, -(c + d*x)^11/(11*(b*c - a*d)*(a + b*x)^11)}
public void test00439() {
	check("Integrate[(c + d*x)^10/(a + b*x)^12, x]", "-(c + d*x)^11/(11*(b*c - a*d)*(a + b*x)^11)");

}

// {(c + d*x)^(-1), x, 1, Log[c + d*x]/d}
public void test00440() {
	check("Integrate[(c + d*x)^(-1), x]", "Log[c + d*x]/d");

}

// {(c + d*x)^(-2), x, 1, -(1/(d*(c + d*x)))}
public void test00441() {
	check("Integrate[(c + d*x)^(-2), x]", "-(1/(d*(c + d*x)))");

}

// {(a + b*x)/(c + d*x)^3, x, 1, (a + b*x)^2/(2*(b*c - a*d)*(c + d*x)^2)}
public void test00442() {
	check("Integrate[(a + b*x)/(c + d*x)^3, x]", "(a + b*x)^2/(2*(b*c - a*d)*(c + d*x)^2)");

}

// {(c + d*x)^(-3), x, 1, -1/(2*d*(c + d*x)^2)}
public void test00443() {
	check("Integrate[(c + d*x)^(-3), x]", "-1/(2*d*(c + d*x)^2)");

}

// {(a + b*x)^6/(c + d*x)^8, x, 1, (a + b*x)^7/(7*(b*c - a*d)*(c + d*x)^7)}
public void test00444() {
	check("Integrate[(a + b*x)^6/(c + d*x)^8, x]", "(a + b*x)^7/(7*(b*c - a*d)*(c + d*x)^7)");

}

// {(c + d*x)^(-8), x, 1, -1/(7*d*(c + d*x)^7)}
public void test00445() {
	check("Integrate[(c + d*x)^(-8), x]", "-1/(7*d*(c + d*x)^7)");

}

// {Sqrt[c + d*x], x, 1, (2*(c + d*x)^(3/2))/(3*d)}
public void test00446() {
	check("Integrate[Sqrt[c + d*x], x]", "(2*(c + d*x)^(3/2))/(3*d)");

}

// {(c + d*x)^(3/2), x, 1, (2*(c + d*x)^(5/2))/(5*d)}
public void test00447() {
	check("Integrate[(c + d*x)^(3/2), x]", "(2*(c + d*x)^(5/2))/(5*d)");

}

// {(c + d*x)^(5/2), x, 1, (2*(c + d*x)^(7/2))/(7*d)}
public void test00448() {
	check("Integrate[(c + d*x)^(5/2), x]", "(2*(c + d*x)^(7/2))/(7*d)");

}

// {1/Sqrt[c + d*x], x, 1, (2*Sqrt[c + d*x])/d}
public void test00449() {
	check("Integrate[1/Sqrt[c + d*x], x]", "(2*Sqrt[c + d*x])/d");

}

// {(c + d*x)^(-3/2), x, 1, -2/(d*Sqrt[c + d*x])}
public void test00450() {
	check("Integrate[(c + d*x)^(-3/2), x]", "-2/(d*Sqrt[c + d*x])");

}

// {(c + d*x)^(-5/2), x, 1, -2/(3*d*(c + d*x)^(3/2))}
public void test00451() {
	check("Integrate[(c + d*x)^(-5/2), x]", "-2/(3*d*(c + d*x)^(3/2))");

}

// {Sqrt[c + d*x]/(a + b*x)^(5/2), x, 1, (-2*(c + d*x)^(3/2))/(3*(b*c - a*d)*(a + b*x)^(3/2))}
public void test00452() {
	check("Integrate[Sqrt[c + d*x]/(a + b*x)^(5/2), x]", "(-2*(c + d*x)^(3/2))/(3*(b*c - a*d)*(a + b*x)^(3/2))");

}

// {(c + d*x)^(3/2)/(a + b*x)^(7/2), x, 1, (-2*(c + d*x)^(5/2))/(5*(b*c - a*d)*(a + b*x)^(5/2))}
public void test00453() {
	check("Integrate[(c + d*x)^(3/2)/(a + b*x)^(7/2), x]", "(-2*(c + d*x)^(5/2))/(5*(b*c - a*d)*(a + b*x)^(5/2))");

}

// {(c + d*x)^(5/2)/(a + b*x)^(9/2), x, 1, (-2*(c + d*x)^(7/2))/(7*(b*c - a*d)*(a + b*x)^(7/2))}
public void test00454() {
	check("Integrate[(c + d*x)^(5/2)/(a + b*x)^(9/2), x]", "(-2*(c + d*x)^(7/2))/(7*(b*c - a*d)*(a + b*x)^(7/2))");

}

// {1/((a + b*x)^(3/2)*Sqrt[c + d*x]), x, 1, (-2*Sqrt[c + d*x])/((b*c - a*d)*Sqrt[a + b*x])}
public void test00455() {
	check("Integrate[1/((a + b*x)^(3/2)*Sqrt[c + d*x]), x]", "(-2*Sqrt[c + d*x])/((b*c - a*d)*Sqrt[a + b*x])");

}

// {1/(Sqrt[a + b*x]*(c + d*x)^(3/2)), x, 1, (2*Sqrt[a + b*x])/((b*c - a*d)*Sqrt[c + d*x])}
public void test00456() {
	check("Integrate[1/(Sqrt[a + b*x]*(c + d*x)^(3/2)), x]", "(2*Sqrt[a + b*x])/((b*c - a*d)*Sqrt[c + d*x])");

}

// {Sqrt[a + b*x]/(c + d*x)^(5/2), x, 1, (2*(a + b*x)^(3/2))/(3*(b*c - a*d)*(c + d*x)^(3/2))}
public void test00457() {
	check("Integrate[Sqrt[a + b*x]/(c + d*x)^(5/2), x]", "(2*(a + b*x)^(3/2))/(3*(b*c - a*d)*(c + d*x)^(3/2))");

}

// {1/(Sqrt[-2 + b*x]*Sqrt[2 + b*x]), x, 1, ArcCosh[(b*x)/2]/b}
public void test00458() {
	check("Integrate[1/(Sqrt[-2 + b*x]*Sqrt[2 + b*x]), x]", "ArcCosh[(b*x)/2]/b");

}

// {(2 + b*x)^(-1), x, 1, Log[2 + b*x]/b}
public void test00459() {
	check("Integrate[(2 + b*x)^(-1), x]", "Log[2 + b*x]/b");

}

// {1/(Sqrt[-2 + b*x]*Sqrt[2 + b*x]), x, 1, ArcCosh[(b*x)/2]/b}
public void test00460() {
	check("Integrate[1/(Sqrt[-2 + b*x]*Sqrt[2 + b*x]), x]", "ArcCosh[(b*x)/2]/b");

}

// {(2 - b*x)^(-1), x, 1, -(Log[2 - b*x]/b)}
public void test00461() {
	check("Integrate[(2 - b*x)^(-1), x]", "-(Log[2 - b*x]/b)");

}

// {1/(Sqrt[-2 - b*x]*Sqrt[2 - b*x]), x, 1, -(ArcCosh[-(b*x)/2]/b)}
public void test00462() {
	check("Integrate[1/(Sqrt[-2 - b*x]*Sqrt[2 - b*x]), x]", "-(ArcCosh[-(b*x)/2]/b)");

}

// {1/(Sqrt[-4 + b*x]*Sqrt[4 + b*x]), x, 1, ArcCosh[(b*x)/4]/b}
public void test00463() {
	check("Integrate[1/(Sqrt[-4 + b*x]*Sqrt[4 + b*x]), x]", "ArcCosh[(b*x)/4]/b");

}

// {(c + d*x)^(1/3)/(a + b*x)^(7/3), x, 1, (-3*(c + d*x)^(4/3))/(4*(b*c - a*d)*(a + b*x)^(4/3))}
public void test00464() {
	check("Integrate[(c + d*x)^(1/3)/(a + b*x)^(7/3), x]", "(-3*(c + d*x)^(4/3))/(4*(b*c - a*d)*(a + b*x)^(4/3))");

}

// {1/((a + b*x)^(2/3)*(c + d*x)^(1/3)), x, 1, -((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(b^(2/3)*d^(1/3))) - Log[a + b*x]/(2*b^(2/3)*d^(1/3)) - (3*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*b^(2/3)*d^(1/3))}
public void test00465() {
	check("Integrate[1/((a + b*x)^(2/3)*(c + d*x)^(1/3)), x]", "-((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(b^(2/3)*d^(1/3))) - Log[a + b*x]/(2*b^(2/3)*d^(1/3)) - (3*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*b^(2/3)*d^(1/3))");

}

// {1/((a + b*x)^(5/3)*(c + d*x)^(1/3)), x, 1, (-3*(c + d*x)^(2/3))/(2*(b*c - a*d)*(a + b*x)^(2/3))}
public void test00466() {
	check("Integrate[1/((a + b*x)^(5/3)*(c + d*x)^(1/3)), x]", "(-3*(c + d*x)^(2/3))/(2*(b*c - a*d)*(a + b*x)^(2/3))");

}

// {1/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x, 1, -((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(b^(1/3)*d^(2/3))) - Log[c + d*x]/(2*b^(1/3)*d^(2/3)) - (3*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(2*b^(1/3)*d^(2/3))}
public void test00467() {
	check("Integrate[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x]", "-((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(b^(1/3)*d^(2/3))) - Log[c + d*x]/(2*b^(1/3)*d^(2/3)) - (3*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(2*b^(1/3)*d^(2/3))");

}

// {1/((a + b*x)^(4/3)*(c + d*x)^(2/3)), x, 1, (-3*(c + d*x)^(1/3))/((b*c - a*d)*(a + b*x)^(1/3))}
public void test00468() {
	check("Integrate[1/((a + b*x)^(4/3)*(c + d*x)^(2/3)), x]", "(-3*(c + d*x)^(1/3))/((b*c - a*d)*(a + b*x)^(1/3))");

}

// {1/((a + b*x)^(2/3)*(c + d*x)^(4/3)), x, 1, (3*(a + b*x)^(1/3))/((b*c - a*d)*(c + d*x)^(1/3))}
public void test00469() {
	check("Integrate[1/((a + b*x)^(2/3)*(c + d*x)^(4/3)), x]", "(3*(a + b*x)^(1/3))/((b*c - a*d)*(c + d*x)^(1/3))");

}

// {(c + d*x)^(5/4)/(a + b*x)^(13/4), x, 1, (-4*(c + d*x)^(9/4))/(9*(b*c - a*d)*(a + b*x)^(9/4))}
public void test00470() {
	check("Integrate[(c + d*x)^(5/4)/(a + b*x)^(13/4), x]", "(-4*(c + d*x)^(9/4))/(9*(b*c - a*d)*(a + b*x)^(9/4))");

}

// {1/((a + b*x)^(7/4)*(c + d*x)^(1/4)), x, 1, (-4*(c + d*x)^(3/4))/(3*(b*c - a*d)*(a + b*x)^(3/4))}
public void test00471() {
	check("Integrate[1/((a + b*x)^(7/4)*(c + d*x)^(1/4)), x]", "(-4*(c + d*x)^(3/4))/(3*(b*c - a*d)*(a + b*x)^(3/4))");

}

// {1/((a + b*x)^(5/4)*(c + d*x)^(3/4)), x, 1, (-4*(c + d*x)^(1/4))/((b*c - a*d)*(a + b*x)^(1/4))}
public void test00472() {
	check("Integrate[1/((a + b*x)^(5/4)*(c + d*x)^(3/4)), x]", "(-4*(c + d*x)^(1/4))/((b*c - a*d)*(a + b*x)^(1/4))");

}

// {1/((a + b*x)^(3/4)*(c + d*x)^(5/4)), x, 1, (4*(a + b*x)^(1/4))/((b*c - a*d)*(c + d*x)^(1/4))}
public void test00473() {
	check("Integrate[1/((a + b*x)^(3/4)*(c + d*x)^(5/4)), x]", "(4*(a + b*x)^(1/4))/((b*c - a*d)*(c + d*x)^(1/4))");

}

// {(a + b*x)^(1/6)/(c + d*x)^(13/6), x, 1, (6*(a + b*x)^(7/6))/(7*(b*c - a*d)*(c + d*x)^(7/6))}
public void test00474() {
	check("Integrate[(a + b*x)^(1/6)/(c + d*x)^(13/6), x]", "(6*(a + b*x)^(7/6))/(7*(b*c - a*d)*(c + d*x)^(7/6))");

}

// {(a + b*x)^(5/6)/(c + d*x)^(17/6), x, 1, (6*(a + b*x)^(11/6))/(11*(b*c - a*d)*(c + d*x)^(11/6))}
public void test00475() {
	check("Integrate[(a + b*x)^(5/6)/(c + d*x)^(17/6), x]", "(6*(a + b*x)^(11/6))/(11*(b*c - a*d)*(c + d*x)^(11/6))");

}

// {(a + b*x)^(7/6)/(c + d*x)^(19/6), x, 1, (6*(a + b*x)^(13/6))/(13*(b*c - a*d)*(c + d*x)^(13/6))}
public void test00476() {
	check("Integrate[(a + b*x)^(7/6)/(c + d*x)^(19/6), x]", "(6*(a + b*x)^(13/6))/(13*(b*c - a*d)*(c + d*x)^(13/6))");

}

// {1/((a + b*x)^(1/6)*(c + d*x)^(11/6)), x, 1, (6*(a + b*x)^(5/6))/(5*(b*c - a*d)*(c + d*x)^(5/6))}
public void test00477() {
	check("Integrate[1/((a + b*x)^(1/6)*(c + d*x)^(11/6)), x]", "(6*(a + b*x)^(5/6))/(5*(b*c - a*d)*(c + d*x)^(5/6))");

}

// {1/((a + b*x)^(5/6)*(c + d*x)^(7/6)), x, 1, (6*(a + b*x)^(1/6))/((b*c - a*d)*(c + d*x)^(1/6))}
public void test00478() {
	check("Integrate[1/((a + b*x)^(5/6)*(c + d*x)^(7/6)), x]", "(6*(a + b*x)^(1/6))/((b*c - a*d)*(c + d*x)^(1/6))");

}

// {1/((a + b*x)^(7/6)*(c + d*x)^(5/6)), x, 1, (-6*(c + d*x)^(1/6))/((b*c - a*d)*(a + b*x)^(1/6))}
public void test00479() {
	check("Integrate[1/((a + b*x)^(7/6)*(c + d*x)^(5/6)), x]", "(-6*(c + d*x)^(1/6))/((b*c - a*d)*(a + b*x)^(1/6))");

}

// {(a + b*x)^m/(c + d*x), x, 1, ((a + b*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*(1 + m))}
public void test00480() {
	check("Integrate[(a + b*x)^m/(c + d*x), x]", "((a + b*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*(1 + m))");

}

// {(a + b*x)^m/(c + d*x)^2, x, 1, (b*(a + b*x)^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*(1 + m))}
public void test00481() {
	check("Integrate[(a + b*x)^m/(c + d*x)^2, x]", "(b*(a + b*x)^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*(1 + m))");

}

// {(a + b*x)^m/(c + d*x)^3, x, 1, (b^2*(a + b*x)^(1 + m)*Hypergeometric2F1[3, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*(1 + m))}
public void test00482() {
	check("Integrate[(a + b*x)^m/(c + d*x)^3, x]", "(b^2*(a + b*x)^(1 + m)*Hypergeometric2F1[3, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^3*(1 + m))");

}

// {(c + d*x)^n, x, 1, (c + d*x)^(1 + n)/(d*(1 + n))}
public void test00483() {
	check("Integrate[(c + d*x)^n, x]", "(c + d*x)^(1 + n)/(d*(1 + n))");

}

// {(c + d*x)^n/(a + b*x), x, 1, -(((c + d*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*(1 + n)))}
public void test00484() {
	check("Integrate[(c + d*x)^n/(a + b*x), x]", "-(((c + d*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)*(1 + n)))");

}

// {(c + d*x)^n/(a + b*x)^2, x, 1, (d*(c + d*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*(1 + n))}
public void test00485() {
	check("Integrate[(c + d*x)^n/(a + b*x)^2, x]", "(d*(c + d*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^2*(1 + n))");

}

// {(c + d*x)^n/(a + b*x)^3, x, 1, -((d^2*(c + d*x)^(1 + n)*Hypergeometric2F1[3, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*(1 + n)))}
public void test00486() {
	check("Integrate[(c + d*x)^n/(a + b*x)^3, x]", "-((d^2*(c + d*x)^(1 + n)*Hypergeometric2F1[3, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/((b*c - a*d)^3*(1 + n)))");

}

// {(a + b*x)^(-2 + n)/(c + d*x)^n, x, 1, -(((a + b*x)^(-1 + n)*(c + d*x)^(1 - n))/((b*c - a*d)*(1 - n)))}
public void test00487() {
	check("Integrate[(a + b*x)^(-2 + n)/(c + d*x)^n, x]", "-(((a + b*x)^(-1 + n)*(c + d*x)^(1 - n))/((b*c - a*d)*(1 - n)))");

}

// {(a + b*x)^(-2 - n)*(c + d*x)^n, x, 1, -(((a + b*x)^(-1 - n)*(c + d*x)^(1 + n))/((b*c - a*d)*(1 + n)))}
public void test00488() {
	check("Integrate[(a + b*x)^(-2 - n)*(c + d*x)^n, x]", "-(((a + b*x)^(-1 - n)*(c + d*x)^(1 + n))/((b*c - a*d)*(1 + n)))");

}

// {(a + b*x)^n*(c + d*x)^(-2 - n), x, 1, ((a + b*x)^(1 + n)*(c + d*x)^(-1 - n))/((b*c - a*d)*(1 + n))}
public void test00489() {
	check("Integrate[(a + b*x)^n*(c + d*x)^(-2 - n), x]", "((a + b*x)^(1 + n)*(c + d*x)^(-1 - n))/((b*c - a*d)*(1 + n))");

}

// {(1 - x)^n/Sqrt[1 + x], x, 1, 2^(1 + n)*Sqrt[1 + x]*Hypergeometric2F1[1/2, -n, 3/2, (1 + x)/2]}
public void test00490() {
	check("Integrate[(1 - x)^n/Sqrt[1 + x], x]", "2^(1 + n)*Sqrt[1 + x]*Hypergeometric2F1[1/2, -n, 3/2, (1 + x)/2]");

}

// {(1 + x)^n/Sqrt[1 - x], x, 1, -(2^(1 + n)*Sqrt[1 - x]*Hypergeometric2F1[1/2, -n, 3/2, (1 - x)/2])}
public void test00491() {
	check("Integrate[(1 + x)^n/Sqrt[1 - x], x]", "-(2^(1 + n)*Sqrt[1 - x]*Hypergeometric2F1[1/2, -n, 3/2, (1 - x)/2])");

}

// {(1 - x)^n*(1 + x)^(7/3), x, 1, (3*2^(-1 + n)*(1 + x)^(10/3)*Hypergeometric2F1[10/3, -n, 13/3, (1 + x)/2])/5}
public void test00492() {
	check("Integrate[(1 - x)^n*(1 + x)^(7/3), x]", "(3*2^(-1 + n)*(1 + x)^(10/3)*Hypergeometric2F1[10/3, -n, 13/3, (1 + x)/2])/5");

}

// {(1 - x)^(7/3)*(1 + x)^n, x, 1, (-3*2^(-1 + n)*(1 - x)^(10/3)*Hypergeometric2F1[10/3, -n, 13/3, (1 - x)/2])/5}
public void test00493() {
	check("Integrate[(1 - x)^(7/3)*(1 + x)^n, x]", "(-3*2^(-1 + n)*(1 - x)^(10/3)*Hypergeometric2F1[10/3, -n, 13/3, (1 - x)/2])/5");

}

// {(2 + 3*x)^m/(1 + 2*x)^m, x, 1, (2^(-1 - m)*(1 + 2*x)^(1 - m)*Hypergeometric2F1[1 - m, -m, 2 - m, -3*(1 + 2*x)])/(1 - m)}
public void test00494() {
	check("Integrate[(2 + 3*x)^m/(1 + 2*x)^m, x]", "(2^(-1 - m)*(1 + 2*x)^(1 - m)*Hypergeometric2F1[1 - m, -m, 2 - m, -3*(1 + 2*x)])/(1 - m)");

}

// {a + b*x + c*x^2 + d*x^3, x, 1, a*x + (b*x^2)/2 + (c*x^3)/3 + (d*x^4)/4}
public void test00495() {
	check("Integrate[a + b*x + c*x^2 + d*x^3, x]", "a*x + (b*x^2)/2 + (c*x^3)/3 + (d*x^4)/4");

}

// {-x^3 + x^4, x, 1, -x^4/4 + x^5/5}
public void test00496() {
	check("Integrate[-x^3 + x^4, x]", "-x^4/4 + x^5/5");

}

// {-1 + x^5, x, 1, -x + x^6/6}
public void test00497() {
	check("Integrate[-1 + x^5, x]", "-x + x^6/6");

}

// {7 + 4*x, x, 1, 7*x + 2*x^2}
public void test00498() {
	check("Integrate[7 + 4*x, x]", "7*x + 2*x^2");

}

// {4*x + Pi*x^3, x, 1, 2*x^2 + (Pi*x^4)/4}
public void test00499() {
	check("Integrate[4*x + Pi*x^3, x]", "2*x^2 + (Pi*x^4)/4");

}

// {2*x + 5*x^2, x, 1, x^2 + (5*x^3)/3}
public void test00500() {
	check("Integrate[2*x + 5*x^2, x]", "x^2 + (5*x^3)/3");

}

// {x^2/2 + x^3/3, x, 1, x^3/6 + x^4/12}
public void test00501() {
	check("Integrate[x^2/2 + x^3/3, x]", "x^3/6 + x^4/12");

}

// {3 - 5*x + 2*x^2, x, 1, 3*x - (5*x^2)/2 + (2*x^3)/3}
public void test00502() {
	check("Integrate[3 - 5*x + 2*x^2, x]", "3*x - (5*x^2)/2 + (2*x^3)/3");

}

// {-2*x + x^2 + x^3, x, 1, -x^2 + x^3/3 + x^4/4}
public void test00503() {
	check("Integrate[-2*x + x^2 + x^3, x]", "-x^2 + x^3/3 + x^4/4");

}

// {1 - x^2 - 3*x^5, x, 1, x - x^3/3 - x^6/2}
public void test00504() {
	check("Integrate[1 - x^2 - 3*x^5, x]", "x - x^3/3 - x^6/2");

}

// {5 + 2*x + 3*x^2 + 4*x^3, x, 1, 5*x + x^2 + x^3 + x^4}
public void test00505() {
	check("Integrate[5 + 2*x + 3*x^2 + 4*x^3, x]", "5*x + x^2 + x^3 + x^4");

}

// {a + d/x^3 + c/x^2 + b/x, x, 1, -d/(2*x^2) - c/x + a*x + b*Log[x]}
public void test00506() {
	check("Integrate[a + d/x^3 + c/x^2 + b/x, x]", "-d/(2*x^2) - c/x + a*x + b*Log[x]");

}

// {x^(-5) + x + x^5, x, 1, -1/(4*x^4) + x^2/2 + x^6/6}
public void test00507() {
	check("Integrate[x^(-5) + x + x^5, x]", "-1/(4*x^4) + x^2/2 + x^6/6");

}

// {x^(-3) + x^(-2) + x^(-1), x, 1, -1/(2*x^2) - x^(-1) + Log[x]}
public void test00508() {
	check("Integrate[x^(-3) + x^(-2) + x^(-1), x]", "-1/(2*x^2) - x^(-1) + Log[x]");

}

// {-2/x^2 + 3/x, x, 1, 2/x + 3*Log[x]}
public void test00509() {
	check("Integrate[-2/x^2 + 3/x, x]", "2/x + 3*Log[x]");

}

// {-1/(7*x^6) + x^6, x, 1, 1/(35*x^5) + x^7/7}
public void test00510() {
	check("Integrate[-1/(7*x^6) + x^6, x]", "1/(35*x^5) + x^7/7");

}

// {1 + x^(-1) + x, x, 1, x + x^2/2 + Log[x]}
public void test00511() {
	check("Integrate[1 + x^(-1) + x, x]", "x + x^2/2 + Log[x]");

}

// {-3/x^3 + 4/x^2, x, 1, 3/(2*x^2) - 4/x}
public void test00512() {
	check("Integrate[-3/x^3 + 4/x^2, x]", "3/(2*x^2) - 4/x");

}

// {x^(-1) + 2*x + x^2, x, 1, x^2 + x^3/3 + Log[x]}
public void test00513() {
	check("Integrate[x^(-1) + 2*x + x^2, x]", "x^2 + x^3/3 + Log[x]");

}

// {x^(5/6) - x^3, x, 1, (6*x^(11/6))/11 - x^4/4}
public void test00514() {
	check("Integrate[x^(5/6) - x^3, x]", "(6*x^(11/6))/11 - x^4/4");

}

// {33 + x^(1/33), x, 1, 33*x + (33*x^(34/33))/34}
public void test00515() {
	check("Integrate[33 + x^(1/33), x]", "33*x + (33*x^(34/33))/34");

}

// {1/(2*Sqrt[x]) + 2*Sqrt[x], x, 1, Sqrt[x] + (4*x^(3/2))/3}
public void test00516() {
	check("Integrate[1/(2*Sqrt[x]) + 2*Sqrt[x], x]", "Sqrt[x] + (4*x^(3/2))/3");

}

// {-x^(-2) + 10/x + 6*Sqrt[x], x, 1, x^(-1) + 4*x^(3/2) + 10*Log[x]}
public void test00517() {
	check("Integrate[-x^(-2) + 10/x + 6*Sqrt[x], x]", "x^(-1) + 4*x^(3/2) + 10*Log[x]");

}

// {x^(-3/2) + x^(3/2), x, 1, -2/Sqrt[x] + (2*x^(5/2))/5}
public void test00518() {
	check("Integrate[x^(-3/2) + x^(3/2), x]", "-2/Sqrt[x] + (2*x^(5/2))/5");

}

// {-5*x^(3/2) + 7*x^(5/2), x, 1, -2*x^(5/2) + 2*x^(7/2)}
public void test00519() {
	check("Integrate[-5*x^(3/2) + 7*x^(5/2), x]", "-2*x^(5/2) + 2*x^(7/2)");

}

// {2/Sqrt[x] + Sqrt[x] - x/2, x, 1, 4*Sqrt[x] + (2*x^(3/2))/3 - x^2/4}
public void test00520() {
	check("Integrate[2/Sqrt[x] + Sqrt[x] - x/2, x]", "4*Sqrt[x] + (2*x^(3/2))/3 - x^2/4");

}

// {-2/x + Sqrt[x]/5 + x^(3/2), x, 1, (2*x^(3/2))/15 + (2*x^(5/2))/5 - 2*Log[x]}
public void test00521() {
	check("Integrate[-2/x + Sqrt[x]/5 + x^(3/2), x]", "(2*x^(3/2))/15 + (2*x^(5/2))/5 - 2*Log[x]");

}

// {((a + b*x)*(a*c - b*c*x)^3)/x^3, x, 1, -(c^3*(a - b*x)^4)/(2*x^2)}
public void test00522() {
	check("Integrate[((a + b*x)*(a*c - b*c*x)^3)/x^3, x]", "-(c^3*(a - b*x)^4)/(2*x^2)");

}

// {((a + b*x)*(a*c - b*c*x)^5)/x^4, x, 1, -(c^5*(a - b*x)^6)/(3*x^3)}
public void test00523() {
	check("Integrate[((a + b*x)*(a*c - b*c*x)^5)/x^4, x]", "-(c^5*(a - b*x)^6)/(3*x^3)");

}

// {x^2*(2 + x)^5*(2 + 3*x), x, 1, (x^3*(2 + x)^6)/3}
public void test00524() {
	check("Integrate[x^2*(2 + x)^5*(2 + 3*x), x]", "(x^3*(2 + x)^6)/3");

}

// {(A + B*x)/(a + b*x)^3, x, 1, -(A + B*x)^2/(2*(A*b - a*B)*(a + b*x)^2)}
public void test00525() {
	check("Integrate[(A + B*x)/(a + b*x)^3, x]", "-(A + B*x)^2/(2*(A*b - a*B)*(a + b*x)^2)");

}

// {Sqrt[a + b*x]/(c + d*x)^(5/2), x, 1, (2*(a + b*x)^(3/2))/(3*(b*c - a*d)*(c + d*x)^(3/2))}
public void test00526() {
	check("Integrate[Sqrt[a + b*x]/(c + d*x)^(5/2), x]", "(2*(a + b*x)^(3/2))/(3*(b*c - a*d)*(c + d*x)^(3/2))");

}

// {1/(Sqrt[a + b*x]*(c + d*x)^(3/2)), x, 1, (2*Sqrt[a + b*x])/((b*c - a*d)*Sqrt[c + d*x])}
public void test00527() {
	check("Integrate[1/(Sqrt[a + b*x]*(c + d*x)^(3/2)), x]", "(2*Sqrt[a + b*x])/((b*c - a*d)*Sqrt[c + d*x])");

}

// {Sqrt[1 + x]/(1 - x)^(5/2), x, 1, (1 + x)^(3/2)/(3*(1 - x)^(3/2))}
public void test00528() {
	check("Integrate[Sqrt[1 + x]/(1 - x)^(5/2), x]", "(1 + x)^(3/2)/(3*(1 - x)^(3/2))");

}

// {Sqrt[1 + x]/(-1 + x)^(5/2), x, 1, -(1 + x)^(3/2)/(3*(-1 + x)^(3/2))}
public void test00529() {
	check("Integrate[Sqrt[1 + x]/(-1 + x)^(5/2), x]", "-(1 + x)^(3/2)/(3*(-1 + x)^(3/2))");

}

// {x/(Sqrt[-1 + x]*Sqrt[1 + x]), x, 1, Sqrt[-1 + x]*Sqrt[1 + x]}
public void test00530() {
	check("Integrate[x/(Sqrt[-1 + x]*Sqrt[1 + x]), x]", "Sqrt[-1 + x]*Sqrt[1 + x]");

}

// {1/(Sqrt[-1 + x]*Sqrt[1 + x]), x, 1, ArcCosh[x]}
public void test00531() {
	check("Integrate[1/(Sqrt[-1 + x]*Sqrt[1 + x]), x]", "ArcCosh[x]");

}

// {1/(Sqrt[-1 + x]*x^2*Sqrt[1 + x]), x, 1, (Sqrt[-1 + x]*Sqrt[1 + x])/x}
public void test00532() {
	check("Integrate[1/(Sqrt[-1 + x]*x^2*Sqrt[1 + x]), x]", "(Sqrt[-1 + x]*Sqrt[1 + x])/x");

}

// {Sqrt[-1 + x]*x*Sqrt[1 + x], x, 1, ((-1 + x)^(3/2)*(1 + x)^(3/2))/3}
public void test00533() {
	check("Integrate[Sqrt[-1 + x]*x*Sqrt[1 + x], x]", "((-1 + x)^(3/2)*(1 + x)^(3/2))/3");

}

// {Sqrt[1 - x]*x*Sqrt[1 + x], x, 1, -((1 - x)^(3/2)*(1 + x)^(3/2))/3}
public void test00534() {
	check("Integrate[Sqrt[1 - x]*x*Sqrt[1 + x], x]", "-((1 - x)^(3/2)*(1 + x)^(3/2))/3");

}

// {1/(Sqrt[x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]), x, 1, (Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[x])/Sqrt[2]], -1])/Sqrt[b]}
public void test00535() {
	check("Integrate[1/(Sqrt[x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]), x]", "(Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[x])/Sqrt[2]], -1])/Sqrt[b]");

}

// {1/(Sqrt[-x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]), x, 1, -((Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[-x])/Sqrt[2]], -1])/Sqrt[b])}
public void test00536() {
	check("Integrate[1/(Sqrt[-x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]), x]", "-((Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[-x])/Sqrt[2]], -1])/Sqrt[b])");

}

// {1/(Sqrt[e*x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]), x, 1, (Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[e*x])/(Sqrt[2]*Sqrt[e])], -1])/(Sqrt[b]*Sqrt[e])}
public void test00537() {
	check("Integrate[1/(Sqrt[e*x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]), x]", "(Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[e*x])/(Sqrt[2]*Sqrt[e])], -1])/(Sqrt[b]*Sqrt[e])");

}

// {1/(Sqrt[2 - 3*x]*Sqrt[x]*Sqrt[2 + 3*x]), x, 1, Sqrt[2/3]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[x]], -1]}
public void test00538() {
	check("Integrate[1/(Sqrt[2 - 3*x]*Sqrt[x]*Sqrt[2 + 3*x]), x]", "Sqrt[2/3]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[x]], -1]");

}

// {1/(Sqrt[2 - 3*x]*Sqrt[-x]*Sqrt[2 + 3*x]), x, 1, -(Sqrt[2/3]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[-x]], -1])}
public void test00539() {
	check("Integrate[1/(Sqrt[2 - 3*x]*Sqrt[-x]*Sqrt[2 + 3*x]), x]", "-(Sqrt[2/3]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[-x]], -1])");

}

// {1/(Sqrt[2 - 3*x]*Sqrt[e*x]*Sqrt[2 + 3*x]), x, 1, (Sqrt[2/3]*EllipticF[ArcSin[(Sqrt[3/2]*Sqrt[e*x])/Sqrt[e]], -1])/Sqrt[e]}
public void test00540() {
	check("Integrate[1/(Sqrt[2 - 3*x]*Sqrt[e*x]*Sqrt[2 + 3*x]), x]", "(Sqrt[2/3]*EllipticF[ArcSin[(Sqrt[3/2]*Sqrt[e*x])/Sqrt[e]], -1])/Sqrt[e]");

}

// {1/(Sqrt[1 - x]*Sqrt[x]*Sqrt[1 + x]), x, 1, 2*EllipticF[ArcSin[Sqrt[x]], -1]}
public void test00541() {
	check("Integrate[1/(Sqrt[1 - x]*Sqrt[x]*Sqrt[1 + x]), x]", "2*EllipticF[ArcSin[Sqrt[x]], -1]");

}

// {1/(Sqrt[b*x]*Sqrt[1 - c*x]*Sqrt[1 + c*x]), x, 1, (2*EllipticF[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -1])/(Sqrt[b]*Sqrt[c])}
public void test00542() {
	check("Integrate[1/(Sqrt[b*x]*Sqrt[1 - c*x]*Sqrt[1 + c*x]), x]", "(2*EllipticF[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -1])/(Sqrt[b]*Sqrt[c])");

}

// {1/(Sqrt[b*x]*Sqrt[1 - c*x]*Sqrt[1 + d*x]), x, 1, (2*EllipticF[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -(d/c)])/(Sqrt[b]*Sqrt[c])}
public void test00543() {
	check("Integrate[1/(Sqrt[b*x]*Sqrt[1 - c*x]*Sqrt[1 + d*x]), x]", "(2*EllipticF[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -(d/c)])/(Sqrt[b]*Sqrt[c])");

}

// {Sqrt[1 + x]/(Sqrt[1 - x]*Sqrt[x]), x, 1, 2*EllipticE[ArcSin[Sqrt[x]], -1]}
public void test00544() {
	check("Integrate[Sqrt[1 + x]/(Sqrt[1 - x]*Sqrt[x]), x]", "2*EllipticE[ArcSin[Sqrt[x]], -1]");

}

// {Sqrt[1 + c*x]/(Sqrt[b*x]*Sqrt[1 - c*x]), x, 1, (2*EllipticE[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -1])/(Sqrt[b]*Sqrt[c])}
public void test00545() {
	check("Integrate[Sqrt[1 + c*x]/(Sqrt[b*x]*Sqrt[1 - c*x]), x]", "(2*EllipticE[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -1])/(Sqrt[b]*Sqrt[c])");

}

// {Sqrt[1 + c*x]/(Sqrt[b*x]*Sqrt[1 - d*x]), x, 1, (2*EllipticE[ArcSin[(Sqrt[d]*Sqrt[b*x])/Sqrt[b]], -(c/d)])/(Sqrt[b]*Sqrt[d])}
public void test00546() {
	check("Integrate[Sqrt[1 + c*x]/(Sqrt[b*x]*Sqrt[1 - d*x]), x]", "(2*EllipticE[ArcSin[(Sqrt[d]*Sqrt[b*x])/Sqrt[b]], -(c/d)])/(Sqrt[b]*Sqrt[d])");

}

// {Sqrt[1 - c*x]/(Sqrt[b*x]*Sqrt[1 + c*x]), x, 1, (-2*EllipticE[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[-b]], -1])/(Sqrt[-b]*Sqrt[c])}
public void test00547() {
	check("Integrate[Sqrt[1 - c*x]/(Sqrt[b*x]*Sqrt[1 + c*x]), x]", "(-2*EllipticE[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[-b]], -1])/(Sqrt[-b]*Sqrt[c])");

}

// {Sqrt[1 - c*x]/(Sqrt[b*x]*Sqrt[1 + d*x]), x, 1, (-2*EllipticE[ArcSin[(Sqrt[d]*Sqrt[b*x])/Sqrt[-b]], -(c/d)])/(Sqrt[-b]*Sqrt[d])}
public void test00548() {
	check("Integrate[Sqrt[1 - c*x]/(Sqrt[b*x]*Sqrt[1 + d*x]), x]", "(-2*EllipticE[ArcSin[(Sqrt[d]*Sqrt[b*x])/Sqrt[-b]], -(c/d)])/(Sqrt[-b]*Sqrt[d])");

}

// {1/((1 - x)^(1/3)*(2 - x)^(1/3)*x), x, 1, -(Sqrt[3]*ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))])/(2*2^(1/3)) + (3*Log[-(1 - x)^(1/3) + (2 - x)^(2/3)/2^(2/3)])/(4*2^(1/3)) - Log[x]/(2*2^(1/3))}
public void test00549() {
	check("Integrate[1/((1 - x)^(1/3)*(2 - x)^(1/3)*x), x]", "-(Sqrt[3]*ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))])/(2*2^(1/3)) + (3*Log[-(1 - x)^(1/3) + (2 - x)^(2/3)/2^(2/3)])/(4*2^(1/3)) - Log[x]/(2*2^(1/3))");

}

// {1/((1 - x)^(1/4)*(e*x)^(5/2)*(1 + x)^(1/4)), x, 1, (-2*(1 - x)^(3/4)*(1 + x)^(3/4))/(3*e*(e*x)^(3/2))}
public void test00550() {
	check("Integrate[1/((1 - x)^(1/4)*(e*x)^(5/2)*(1 + x)^(1/4)), x]", "(-2*(1 - x)^(3/4)*(1 + x)^(3/4))/(3*e*(e*x)^(3/2))");

}

// {x^(1 + 2*n)*(a + b*x)^n*(2*a + 3*b*x), x, 1, (x^(2*(1 + n))*(a + b*x)^(1 + n))/(1 + n)}
public void test00551() {
	check("Integrate[x^(1 + 2*n)*(a + b*x)^n*(2*a + 3*b*x), x]", "(x^(2*(1 + n))*(a + b*x)^(1 + n))/(1 + n)");

}

// {(a + b*x)^n/(c + d*x), x, 1, ((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*(1 + n))}
public void test00552() {
	check("Integrate[(a + b*x)^n/(c + d*x), x]", "((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*(1 + n))");

}

// {(a + b*x)^n/(c + d*x)^2, x, 1, (b*(a + b*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*(1 + n))}
public void test00553() {
	check("Integrate[(a + b*x)^n/(c + d*x)^2, x]", "(b*(a + b*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*(1 + n))");

}

// {(b*x)^m*(Pi + d*x)^n*(E + f*x)^p, x, 1, (E^p*Pi^n*(b*x)^(1 + m)*AppellF1[1 + m, -n, -p, 2 + m, -((d*x)/Pi), -((f*x)/E)])/(b*(1 + m))}
public void test00554() {
	check("Integrate[(b*x)^m*(Pi + d*x)^n*(E + f*x)^p, x]", "(E^p*Pi^n*(b*x)^(1 + m)*AppellF1[1 + m, -n, -p, 2 + m, -((d*x)/Pi), -((f*x)/E)])/(b*(1 + m))");

}

// {(b*x)^(5/2)*(Pi + d*x)^n*(E + f*x)^p, x, 1, (2*E^p*Pi^n*(b*x)^(7/2)*AppellF1[7/2, -n, -p, 9/2, -((d*x)/Pi), -((f*x)/E)])/(7*b)}
public void test00555() {
	check("Integrate[(b*x)^(5/2)*(Pi + d*x)^n*(E + f*x)^p, x]", "(2*E^p*Pi^n*(b*x)^(7/2)*AppellF1[7/2, -n, -p, 9/2, -((d*x)/Pi), -((f*x)/E)])/(7*b)");

}

// {(a + b*x)^n/(x^2*(c + d*x)^n), x, 1, ((b*c - a*d)*(a + b*x)^(1 + n)*(c + d*x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (c*(a + b*x))/(a*(c + d*x))])/(a^2*(1 + n))}
public void test00556() {
	check("Integrate[(a + b*x)^n/(x^2*(c + d*x)^n), x]", "((b*c - a*d)*(a + b*x)^(1 + n)*(c + d*x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (c*(a + b*x))/(a*(c + d*x))])/(a^2*(1 + n))");

}

// {(1 - x)^n/(1 + x)^n, x, 1, -(((1 - x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (1 - x)/2])/(2^n*(1 + n)))}
public void test00557() {
	check("Integrate[(1 - x)^n/(1 + x)^n, x]", "-(((1 - x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (1 - x)/2])/(2^n*(1 + n)))");

}

// {(1 - x)^n/(x^2*(1 + x)^n), x, 1, (-2*(1 - x)^(1 + n)*(1 + x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (1 - x)/(1 + x)])/(1 + n)}
public void test00558() {
	check("Integrate[(1 - x)^n/(x^2*(1 + x)^n), x]", "(-2*(1 - x)^(1 + n)*(1 + x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (1 - x)/(1 + x)])/(1 + n)");

}

// {((1 - x)^(-1/2 + p)*(1 + x)^(1/2 + p))/(c*x)^(2*(1 + p)), x, 1, -((4^(1 + p)*(1 - x)^(1/2 + p)*(x/(1 + x))^(2*(1 + p))*(1 + x)^(3/2 + p)*Hypergeometric2F1[1/2 + p, 2*(1 + p), 3/2 + p, (1 - x)/(1 + x)])/((1 + 2*p)*(c*x)^(2*(1 + p))))}
public void test00559() {
	check("Integrate[((1 - x)^(-1/2 + p)*(1 + x)^(1/2 + p))/(c*x)^(2*(1 + p)), x]", "-((4^(1 + p)*(1 - x)^(1/2 + p)*(x/(1 + x))^(2*(1 + p))*(1 + x)^(3/2 + p)*Hypergeometric2F1[1/2 + p, 2*(1 + p), 3/2 + p, (1 - x)/(1 + x)])/((1 + 2*p)*(c*x)^(2*(1 + p))))");

}

// {(1 + x/a)^(n/2)/(x^2*(1 - x/a)^(n/2)), x, 1, (-4*(1 - x/a)^(1 - n/2)*(1 + x/a)^((-2 + n)/2)*Hypergeometric2F1[2, 1 - n/2, 2 - n/2, (a - x)/(a + x)])/(a*(2 - n))}
public void test00560() {
	check("Integrate[(1 + x/a)^(n/2)/(x^2*(1 - x/a)^(n/2)), x]", "(-4*(1 - x/a)^(1 - n/2)*(1 + x/a)^((-2 + n)/2)*Hypergeometric2F1[2, 1 - n/2, 2 - n/2, (a - x)/(a + x)])/(a*(2 - n))");

}

// {x^2/((1 - a*x)^7*(1 + a*x)^4), x, 1, -(1 - 3*a*x)/(24*a^3*(1 - a*x)^6*(1 + a*x)^3)}
public void test00561() {
	check("Integrate[x^2/((1 - a*x)^7*(1 + a*x)^4), x]", "-(1 - 3*a*x)/(24*a^3*(1 - a*x)^6*(1 + a*x)^3)");

}

// {x^2/((1 - a*x)^11*(1 + a*x)^7), x, 1, -(1 - 4*a*x)/(60*a^3*(1 - a*x)^10*(1 + a*x)^6)}
public void test00562() {
	check("Integrate[x^2/((1 - a*x)^11*(1 + a*x)^7), x]", "-(1 - 4*a*x)/(60*a^3*(1 - a*x)^10*(1 + a*x)^6)");

}

// {x^2/((1 - a*x)^16*(1 + a*x)^11), x, 1, -(1 - 5*a*x)/(120*a^3*(1 - a*x)^15*(1 + a*x)^10)}
public void test00563() {
	check("Integrate[x^2/((1 - a*x)^16*(1 + a*x)^11), x]", "-(1 - 5*a*x)/(120*a^3*(1 - a*x)^15*(1 + a*x)^10)");

}

// {x^2*(1 - a*x)^(-1 - (n*(1 + n))/2)*(1 + a*x)^(-1 - ((-1 + n)*n)/2), x, 1, ((1 + a*x)^(((1 - n)*n)/2)*(1 - a*n*x))/(a^3*n*(1 - n^2)*(1 - a*x)^((n*(1 + n))/2))}
public void test00564() {
	check("Integrate[x^2*(1 - a*x)^(-1 - (n*(1 + n))/2)*(1 + a*x)^(-1 - ((-1 + n)*n)/2), x]", "((1 + a*x)^(((1 - n)*n)/2)*(1 - a*n*x))/(a^3*n*(1 - n^2)*(1 - a*x)^((n*(1 + n))/2))");

}

// {(A + B*x)/(a + b*x)^3, x, 1, -(A + B*x)^2/(2*(A*b - a*B)*(a + b*x)^2)}
public void test00565() {
	check("Integrate[(A + B*x)/(a + b*x)^3, x]", "-(A + B*x)^2/(2*(A*b - a*B)*(a + b*x)^2)");

}

// {(5 - 2*x)^6*(2 + 3*x)^3*(-16 + 33*x), x, 1, -((5 - 2*x)^7*(2 + 3*x)^4)/2}
public void test00566() {
	check("Integrate[(5 - 2*x)^6*(2 + 3*x)^3*(-16 + 33*x), x]", "-((5 - 2*x)^7*(2 + 3*x)^4)/2");

}

// {(1 - 2*x)/(3 + 5*x)^3, x, 1, -(1 - 2*x)^2/(22*(3 + 5*x)^2)}
public void test00567() {
	check("Integrate[(1 - 2*x)/(3 + 5*x)^3, x]", "-(1 - 2*x)^2/(22*(3 + 5*x)^2)");

}

// {(3 + 5*x)/(1 - 2*x)^3, x, 1, (3 + 5*x)^2/(22*(1 - 2*x)^2)}
public void test00568() {
	check("Integrate[(3 + 5*x)/(1 - 2*x)^3, x]", "(3 + 5*x)^2/(22*(1 - 2*x)^2)");

}

// {Sqrt[1 - 2*x]/(3 + 5*x)^(5/2), x, 1, (-2*(1 - 2*x)^(3/2))/(33*(3 + 5*x)^(3/2))}
public void test00569() {
	check("Integrate[Sqrt[1 - 2*x]/(3 + 5*x)^(5/2), x]", "(-2*(1 - 2*x)^(3/2))/(33*(3 + 5*x)^(3/2))");

}

// {1/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)), x, 1, (-2*Sqrt[1 - 2*x])/(11*Sqrt[3 + 5*x])}
public void test00570() {
	check("Integrate[1/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)), x]", "(-2*Sqrt[1 - 2*x])/(11*Sqrt[3 + 5*x])");

}

// {1/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]), x, 1, (2*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x])}
public void test00571() {
	check("Integrate[1/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]), x]", "(2*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x])");

}

// {Sqrt[3 + 5*x]/(1 - 2*x)^(5/2), x, 1, (2*(3 + 5*x)^(3/2))/(33*(1 - 2*x)^(3/2))}
public void test00572() {
	check("Integrate[Sqrt[3 + 5*x]/(1 - 2*x)^(5/2), x]", "(2*(3 + 5*x)^(3/2))/(33*(1 - 2*x)^(3/2))");

}

// {1/(Sqrt[a + b*x]*Sqrt[c + (b*(-1 + c)*x)/a]*Sqrt[e + (b*(-1 + e)*x)/a]), x, 1, (2*Sqrt[a]*EllipticF[ArcSin[(Sqrt[1 - c]*Sqrt[a + b*x])/Sqrt[a]], (1 - e)/(1 - c)])/(b*Sqrt[1 - c])}
public void test00573() {
	check("Integrate[1/(Sqrt[a + b*x]*Sqrt[c + (b*(-1 + c)*x)/a]*Sqrt[e + (b*(-1 + e)*x)/a]), x]", "(2*Sqrt[a]*EllipticF[ArcSin[(Sqrt[1 - c]*Sqrt[a + b*x])/Sqrt[a]], (1 - e)/(1 - c)])/(b*Sqrt[1 - c])");

}

// {Sqrt[e + (b*(-1 + e)*x)/a]/(Sqrt[a + b*x]*Sqrt[c + (b*(-1 + c)*x)/a]), x, 1, (2*Sqrt[a]*EllipticE[ArcSin[(Sqrt[1 - c]*Sqrt[a + b*x])/Sqrt[a]], (1 - e)/(1 - c)])/(b*Sqrt[1 - c])}
public void test00574() {
	check("Integrate[Sqrt[e + (b*(-1 + e)*x)/a]/(Sqrt[a + b*x]*Sqrt[c + (b*(-1 + c)*x)/a]), x]", "(2*Sqrt[a]*EllipticE[ArcSin[(Sqrt[1 - c]*Sqrt[a + b*x])/Sqrt[a]], (1 - e)/(1 - c)])/(b*Sqrt[1 - c])");

}

// {Sqrt[1 - 2*x]/(Sqrt[-3 - 5*x]*Sqrt[2 + 3*x]), x, 1, (2*Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/3}
public void test00575() {
	check("Integrate[Sqrt[1 - 2*x]/(Sqrt[-3 - 5*x]*Sqrt[2 + 3*x]), x]", "(2*Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/3");

}

// {Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]), x, 1, -(Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])}
public void test00576() {
	check("Integrate[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]), x]", "-(Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])");

}

// {1/(Sqrt[1 + x]*Sqrt[2 + x]*Sqrt[3 + x]), x, 1, -2*EllipticF[ArcSin[1/Sqrt[3 + x]], 2]}
public void test00577() {
	check("Integrate[1/(Sqrt[1 + x]*Sqrt[2 + x]*Sqrt[3 + x]), x]", "-2*EllipticF[ArcSin[1/Sqrt[3 + x]], 2]");

}

// {1/(Sqrt[3 - x]*Sqrt[1 + x]*Sqrt[2 + x]), x, 1, 2*EllipticF[ArcSin[Sqrt[1 + x]/2], -4]}
public void test00578() {
	check("Integrate[1/(Sqrt[3 - x]*Sqrt[1 + x]*Sqrt[2 + x]), x]", "2*EllipticF[ArcSin[Sqrt[1 + x]/2], -4]");

}

// {1/(Sqrt[2 - x]*Sqrt[1 + x]*Sqrt[3 + x]), x, 1, Sqrt[2]*EllipticF[ArcSin[Sqrt[1 + x]/Sqrt[3]], -3/2]}
public void test00579() {
	check("Integrate[1/(Sqrt[2 - x]*Sqrt[1 + x]*Sqrt[3 + x]), x]", "Sqrt[2]*EllipticF[ArcSin[Sqrt[1 + x]/Sqrt[3]], -3/2]");

}

// {1/(Sqrt[2 - x]*Sqrt[3 - x]*Sqrt[1 + x]), x, 1, EllipticF[ArcSin[Sqrt[1 + x]/Sqrt[3]], 3/4]}
public void test00580() {
	check("Integrate[1/(Sqrt[2 - x]*Sqrt[3 - x]*Sqrt[1 + x]), x]", "EllipticF[ArcSin[Sqrt[1 + x]/Sqrt[3]], 3/4]");

}

// {1/(Sqrt[1 - x]*Sqrt[2 + x]*Sqrt[3 + x]), x, 1, 2*EllipticF[ArcSin[Sqrt[2 + x]/Sqrt[3]], -3]}
public void test00581() {
	check("Integrate[1/(Sqrt[1 - x]*Sqrt[2 + x]*Sqrt[3 + x]), x]", "2*EllipticF[ArcSin[Sqrt[2 + x]/Sqrt[3]], -3]");

}

// {1/(Sqrt[1 - x]*Sqrt[3 - x]*Sqrt[2 + x]), x, 1, (2*EllipticF[ArcSin[Sqrt[2 + x]/Sqrt[3]], 3/5])/Sqrt[5]}
public void test00582() {
	check("Integrate[1/(Sqrt[1 - x]*Sqrt[3 - x]*Sqrt[2 + x]), x]", "(2*EllipticF[ArcSin[Sqrt[2 + x]/Sqrt[3]], 3/5])/Sqrt[5]");

}

// {1/(Sqrt[1 - x]*Sqrt[2 - x]*Sqrt[3 + x]), x, 1, (2*EllipticF[ArcSin[Sqrt[3 + x]/2], 4/5])/Sqrt[5]}
public void test00583() {
	check("Integrate[1/(Sqrt[1 - x]*Sqrt[2 - x]*Sqrt[3 + x]), x]", "(2*EllipticF[ArcSin[Sqrt[3 + x]/2], 4/5])/Sqrt[5]");

}

// {1/(Sqrt[1 - x]*Sqrt[2 - x]*Sqrt[3 - x]), x, 1, 2*EllipticF[ArcSin[1/Sqrt[3 - x]], 2]}
public void test00584() {
	check("Integrate[1/(Sqrt[1 - x]*Sqrt[2 - x]*Sqrt[3 - x]), x]", "2*EllipticF[ArcSin[1/Sqrt[3 - x]], 2]");

}

// {1/(Sqrt[-3 + x]*Sqrt[-2 + x]*Sqrt[-1 + x]), x, 1, -2*EllipticF[ArcSin[1/Sqrt[-1 + x]], 2]}
public void test00585() {
	check("Integrate[1/(Sqrt[-3 + x]*Sqrt[-2 + x]*Sqrt[-1 + x]), x]", "-2*EllipticF[ArcSin[1/Sqrt[-1 + x]], 2]");

}

// {1/(Sqrt[-3 - x]*Sqrt[-2 - x]*Sqrt[-1 - x]), x, 1, 2*EllipticF[ArcSin[1/Sqrt[-1 - x]], 2]}
public void test00586() {
	check("Integrate[1/(Sqrt[-3 - x]*Sqrt[-2 - x]*Sqrt[-1 - x]), x]", "2*EllipticF[ArcSin[1/Sqrt[-1 - x]], 2]");

}

// {Sqrt[2 + 3*x]/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]), x, 1, -(Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5/11]*Sqrt[1 - 2*x]], 33/35])}
public void test00587() {
	check("Integrate[Sqrt[2 + 3*x]/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]), x]", "-(Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5/11]*Sqrt[1 - 2*x]], 33/35])");

}

// {1/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]), x, 1, (-2*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33]}
public void test00588() {
	check("Integrate[1/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]), x]", "(-2*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33]");

}

// {1/(Sqrt[4 - x]*Sqrt[5 - x]*Sqrt[-3 + x]), x, 1, Sqrt[2]*EllipticF[ArcSin[Sqrt[-3 + x]], 1/2]}
public void test00589() {
	check("Integrate[1/(Sqrt[4 - x]*Sqrt[5 - x]*Sqrt[-3 + x]), x]", "Sqrt[2]*EllipticF[ArcSin[Sqrt[-3 + x]], 1/2]");

}

// {1/(Sqrt[6 - x]*Sqrt[-2 + x]*Sqrt[-1 + x]), x, 1, 2*EllipticF[ArcSin[Sqrt[-2 + x]/2], -4]}
public void test00590() {
	check("Integrate[1/(Sqrt[6 - x]*Sqrt[-2 + x]*Sqrt[-1 + x]), x]", "2*EllipticF[ArcSin[Sqrt[-2 + x]/2], -4]");

}

// {1/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x, 1, -((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(b^(1/3)*d^(2/3))) - Log[c + d*x]/(2*b^(1/3)*d^(2/3)) - (3*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(2*b^(1/3)*d^(2/3))}
public void test00591() {
	check("Integrate[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)), x]", "-((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(b^(1/3)*d^(2/3))) - Log[c + d*x]/(2*b^(1/3)*d^(2/3)) - (3*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(2*b^(1/3)*d^(2/3))");

}

// {1/((a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x)), x, 1, -((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))])/((b*e - a*f)^(1/3)*(d*e - c*f)^(2/3))) + Log[e + f*x]/(2*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3)) - (3*Log[((d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(b*e - a*f)^(1/3) - (c + d*x)^(1/3)])/(2*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3))}
public void test00592() {
	check("Integrate[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x)), x]", "-((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))])/((b*e - a*f)^(1/3)*(d*e - c*f)^(2/3))) + Log[e + f*x]/(2*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3)) - (3*Log[((d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(b*e - a*f)^(1/3) - (c + d*x)^(1/3)])/(2*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3))");

}

// {1/((a + b*x)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)), x, 1, -(Sqrt[3]*ArcTan[1/Sqrt[3] + (2*b^(2/3)*(c + d*x)^(2/3))/(Sqrt[3]*(b*c - a*d)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3))])/(2*b^(2/3)*(b*c - a*d)^(2/3)) - Log[a + b*x]/(2*b^(2/3)*(b*c - a*d)^(2/3)) + (3*Log[(b^(2/3)*(c + d*x)^(2/3))/(b*c - a*d)^(1/3) - (b*c + a*d + 2*b*d*x)^(1/3)])/(4*b^(2/3)*(b*c - a*d)^(2/3))}
public void test00593() {
	check("Integrate[1/((a + b*x)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)), x]", "-(Sqrt[3]*ArcTan[1/Sqrt[3] + (2*b^(2/3)*(c + d*x)^(2/3))/(Sqrt[3]*(b*c - a*d)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3))])/(2*b^(2/3)*(b*c - a*d)^(2/3)) - Log[a + b*x]/(2*b^(2/3)*(b*c - a*d)^(2/3)) + (3*Log[(b^(2/3)*(c + d*x)^(2/3))/(b*c - a*d)^(1/3) - (b*c + a*d + 2*b*d*x)^(1/3)])/(4*b^(2/3)*(b*c - a*d)^(2/3))");

}

// {(a + b*x)/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)), x, 1, (3*(c + d*x)^(2/3))/(2*d^2*(b*c + a*d + 2*b*d*x)^(1/3))}
public void test00594() {
	check("Integrate[(a + b*x)/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)), x]", "(3*(c + d*x)^(2/3))/(2*d^2*(b*c + a*d + 2*b*d*x)^(1/3))");

}

// {1/((d - 3*e*x)^(1/3)*(d + e*x)*(d + 3*e*x)^(1/3)), x, 1, (Sqrt[3]*ArcTan[1/Sqrt[3] - (d - 3*e*x)^(2/3)/(Sqrt[3]*d^(1/3)*(d + 3*e*x)^(1/3))])/(4*d^(2/3)*e) + Log[d + e*x]/(4*d^(2/3)*e) - (3*Log[-(d - 3*e*x)^(2/3)/(2*d^(1/3)) - (d + 3*e*x)^(1/3)])/(8*d^(2/3)*e)}
public void test00595() {
	check("Integrate[1/((d - 3*e*x)^(1/3)*(d + e*x)*(d + 3*e*x)^(1/3)), x]", "(Sqrt[3]*ArcTan[1/Sqrt[3] - (d - 3*e*x)^(2/3)/(Sqrt[3]*d^(1/3)*(d + 3*e*x)^(1/3))])/(4*d^(2/3)*e) + Log[d + e*x]/(4*d^(2/3)*e) - (3*Log[-(d - 3*e*x)^(2/3)/(2*d^(1/3)) - (d + 3*e*x)^(1/3)])/(8*d^(2/3)*e)");

}

// {(a + b*x)^m/((c + d*x)^m*(e + f*x)^2), x, 1, ((b*c - a*d)*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(1 + m))}
public void test00596() {
	check("Integrate[(a + b*x)^m/((c + d*x)^m*(e + f*x)^2), x]", "((b*c - a*d)*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(1 + m))");

}

// {((a + b*x)^m*(c + d*x)^(-1 - m))/(e + f*x), x, 1, ((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(1 + m))}
public void test00597() {
	check("Integrate[((a + b*x)^m*(c + d*x)^(-1 - m))/(e + f*x), x]", "((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(1 + m))");

}

// {(a + b*x)^m*(c + d*x)^(-2 - m), x, 1, ((a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(1 + m))}
public void test00598() {
	check("Integrate[(a + b*x)^m*(c + d*x)^(-2 - m), x]", "((a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(1 + m))");

}

// {((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^3, x, 1, ((b*c - a*d)^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[3, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^3*(1 + m))}
public void test00599() {
	check("Integrate[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^3, x]", "((b*c - a*d)^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[3, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^3*(1 + m))");

}

// {((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^4, x, 1, ((b*c - a*d)^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^4*(1 + m))}
public void test00600() {
	check("Integrate[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^4, x]", "((b*c - a*d)^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^4*(1 + m))");

}

// {(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(-2 + n), x, 1, ((a + b*x)^(1 + m)*(c + d*x)^(-m - n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^(m + n)*(e + f*x)^(-1 + n)*Hypergeometric2F1[1 + m, m + n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)*(1 + m))}
public void test00601() {
	check("Integrate[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(-2 + n), x]", "((a + b*x)^(1 + m)*(c + d*x)^(-m - n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^(m + n)*(e + f*x)^(-1 + n)*Hypergeometric2F1[1 + m, m + n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)*(1 + m))");

}

// {(a + b*x)^m*(c + d*x)^n*((b*c*f + a*d*f + a*d*f*m + b*c*f*n)/(b*d*(2 + m + n)) + f*x)^(-3 - m - n), x, 1, (b*d*(2 + m + n)*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*((f*(a*d*(1 + m) + b*c*(1 + n)))/(b*d*(2 + m + n)) + f*x)^(-2 - m - n))/((b*c - a*d)^2*f*(1 + m)*(1 + n))}
public void test00602() {
	check("Integrate[(a + b*x)^m*(c + d*x)^n*((b*c*f + a*d*f + a*d*f*m + b*c*f*n)/(b*d*(2 + m + n)) + f*x)^(-3 - m - n), x]", "(b*d*(2 + m + n)*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*((f*(a*d*(1 + m) + b*c*(1 + n)))/(b*d*(2 + m + n)) + f*x)^(-2 - m - n))/((b*c - a*d)^2*f*(1 + m)*(1 + n))");

}

// {(a + b*x)^m*(c + d*x)^(-1 - (d*(b*e - a*f)*(1 + m))/(b*(d*e - c*f)))*(e + f*x)^(-1 + ((b*c - a*d)*f*(1 + m))/(b*(d*e - c*f))), x, 1, (b*(a + b*x)^(1 + m)*(e + f*x)^(((b*c - a*d)*f*(1 + m))/(b*(d*e - c*f))))/((b*c - a*d)*(b*e - a*f)*(1 + m)*(c + d*x)^((d*(b*e - a*f)*(1 + m))/(b*(d*e - c*f))))}
public void test00603() {
	check("Integrate[(a + b*x)^m*(c + d*x)^(-1 - (d*(b*e - a*f)*(1 + m))/(b*(d*e - c*f)))*(e + f*x)^(-1 + ((b*c - a*d)*f*(1 + m))/(b*(d*e - c*f))), x]", "(b*(a + b*x)^(1 + m)*(e + f*x)^(((b*c - a*d)*f*(1 + m))/(b*(d*e - c*f))))/((b*c - a*d)*(b*e - a*f)*(1 + m)*(c + d*x)^((d*(b*e - a*f)*(1 + m))/(b*(d*e - c*f))))");

}

// {(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-2 - m - n), x, 1, ((a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-1 - m - n)*Hypergeometric2F1[1 + m, -n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)*(1 + m)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^n)}
public void test00604() {
	check("Integrate[(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-2 - m - n), x]", "((a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-1 - m - n)*Hypergeometric2F1[1 + m, -n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)*(1 + m)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^n)");

}

// {(3 + 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x, 1, -(Sqrt[2]*7^n*Sqrt[1 - x]*AppellF1[1/2, 1/2, -n, 3/2, (1 - x)/2, (4*(1 - x))/7])}
public void test00605() {
	check("Integrate[(3 + 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x]", "-(Sqrt[2]*7^n*Sqrt[1 - x]*AppellF1[1/2, 1/2, -n, 3/2, (1 - x)/2, (4*(1 - x))/7])");

}

// {(3 - 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x, 1, Sqrt[2]*7^n*Sqrt[1 + x]*AppellF1[1/2, -n, 1/2, 3/2, (4*(1 + x))/7, (1 + x)/2]}
public void test00606() {
	check("Integrate[(3 - 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x]", "Sqrt[2]*7^n*Sqrt[1 + x]*AppellF1[1/2, -n, 1/2, 3/2, (4*(1 + x))/7, (1 + x)/2]");

}

// {(-3 + 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x, 1, -(Sqrt[2]*Sqrt[1 - x]*AppellF1[1/2, 1/2, -n, 3/2, (1 - x)/2, 4*(1 - x)])}
public void test00607() {
	check("Integrate[(-3 + 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x]", "-(Sqrt[2]*Sqrt[1 - x]*AppellF1[1/2, 1/2, -n, 3/2, (1 - x)/2, 4*(1 - x)])");

}

// {(-3 - 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x, 1, Sqrt[2]*Sqrt[1 + x]*AppellF1[1/2, -n, 1/2, 3/2, 4*(1 + x), (1 + x)/2]}
public void test00608() {
	check("Integrate[(-3 - 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]), x]", "Sqrt[2]*Sqrt[1 + x]*AppellF1[1/2, -n, 1/2, 3/2, 4*(1 + x), (1 + x)/2]");

}

// {(a + b*x)^m/(e + f*x)^2, x, 1, (b*(a + b*x)^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(1 + m))}
public void test00609() {
	check("Integrate[(a + b*x)^m/(e + f*x)^2, x]", "(b*(a + b*x)^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(1 + m))");

}

// {a + b*x^2, x, 1, a*x + (b*x^3)/3}
public void test00610() {
	check("Integrate[a + b*x^2, x]", "a*x + (b*x^3)/3");

}

// {x*(a + b*x^2)^2, x, 1, (a + b*x^2)^3/(6*b)}
public void test00611() {
	check("Integrate[x*(a + b*x^2)^2, x]", "(a + b*x^2)^3/(6*b)");

}

// {(a + b*x^2)^2/x^7, x, 1, -(a + b*x^2)^3/(6*a*x^6)}
public void test00612() {
	check("Integrate[(a + b*x^2)^2/x^7, x]", "-(a + b*x^2)^3/(6*a*x^6)");

}

// {x*(a + b*x^2)^3, x, 1, (a + b*x^2)^4/(8*b)}
public void test00613() {
	check("Integrate[x*(a + b*x^2)^3, x]", "(a + b*x^2)^4/(8*b)");

}

// {(a + b*x^2)^3/x^9, x, 1, -(a + b*x^2)^4/(8*a*x^8)}
public void test00614() {
	check("Integrate[(a + b*x^2)^3/x^9, x]", "-(a + b*x^2)^4/(8*a*x^8)");

}

// {x*(a + b*x^2)^5, x, 1, (a + b*x^2)^6/(12*b)}
public void test00615() {
	check("Integrate[x*(a + b*x^2)^5, x]", "(a + b*x^2)^6/(12*b)");

}

// {(a + b*x^2)^5/x^13, x, 1, -(a + b*x^2)^6/(12*a*x^12)}
public void test00616() {
	check("Integrate[(a + b*x^2)^5/x^13, x]", "-(a + b*x^2)^6/(12*a*x^12)");

}

// {x*(a + b*x^2)^8, x, 1, (a + b*x^2)^9/(18*b)}
public void test00617() {
	check("Integrate[x*(a + b*x^2)^8, x]", "(a + b*x^2)^9/(18*b)");

}

// {(a + b*x^2)^8/x^19, x, 1, -(a + b*x^2)^9/(18*a*x^18)}
public void test00618() {
	check("Integrate[(a + b*x^2)^8/x^19, x]", "-(a + b*x^2)^9/(18*a*x^18)");

}

// {x/(a + b*x^2), x, 1, Log[a + b*x^2]/(2*b)}
public void test00619() {
	check("Integrate[x/(a + b*x^2), x]", "Log[a + b*x^2]/(2*b)");

}

// {(a + b*x^2)^(-1), x, 1, ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])}
public void test00620() {
	check("Integrate[(a + b*x^2)^(-1), x]", "ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])");

}

// {x/(a + b*x^2)^2, x, 1, -1/(2*b*(a + b*x^2))}
public void test00621() {
	check("Integrate[x/(a + b*x^2)^2, x]", "-1/(2*b*(a + b*x^2))");

}

// {x^3/(a + b*x^2)^3, x, 1, x^4/(4*a*(a + b*x^2)^2)}
public void test00622() {
	check("Integrate[x^3/(a + b*x^2)^3, x]", "x^4/(4*a*(a + b*x^2)^2)");

}

// {x/(a + b*x^2)^3, x, 1, -1/(4*b*(a + b*x^2)^2)}
public void test00623() {
	check("Integrate[x/(a + b*x^2)^3, x]", "-1/(4*b*(a + b*x^2)^2)");

}

// {x^17/(a + b*x^2)^10, x, 1, x^18/(18*a*(a + b*x^2)^9)}
public void test00624() {
	check("Integrate[x^17/(a + b*x^2)^10, x]", "x^18/(18*a*(a + b*x^2)^9)");

}

// {x/(a + b*x^2)^10, x, 1, -1/(18*b*(a + b*x^2)^9)}
public void test00625() {
	check("Integrate[x/(a + b*x^2)^10, x]", "-1/(18*b*(a + b*x^2)^9)");

}

// {x/(a - b*x^2), x, 1, -Log[a - b*x^2]/(2*b)}
public void test00626() {
	check("Integrate[x/(a - b*x^2), x]", "-Log[a - b*x^2]/(2*b)");

}

// {(a - b*x^2)^(-1), x, 1, ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])}
public void test00627() {
	check("Integrate[(a - b*x^2)^(-1), x]", "ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])");

}

// {x/(a - b*x^2)^2, x, 1, 1/(2*b*(a - b*x^2))}
public void test00628() {
	check("Integrate[x/(a - b*x^2)^2, x]", "1/(2*b*(a - b*x^2))");

}

// {x^3/(a - b*x^2)^3, x, 1, x^4/(4*a*(a - b*x^2)^2)}
public void test00629() {
	check("Integrate[x^3/(a - b*x^2)^3, x]", "x^4/(4*a*(a - b*x^2)^2)");

}

// {x/(a - b*x^2)^3, x, 1, 1/(4*b*(a - b*x^2)^2)}
public void test00630() {
	check("Integrate[x/(a - b*x^2)^3, x]", "1/(4*b*(a - b*x^2)^2)");

}

// {x/(a - b*x^2)^5, x, 1, 1/(8*b*(a - b*x^2)^4)}
public void test00631() {
	check("Integrate[x/(a - b*x^2)^5, x]", "1/(8*b*(a - b*x^2)^4)");

}

// {(-1 + a + a*x^2)^(-1), x, 1, -(ArcTanh[(Sqrt[a]*x)/Sqrt[1 - a]]/Sqrt[(1 - a)*a])}
public void test00632() {
	check("Integrate[(-1 + a + a*x^2)^(-1), x]", "-(ArcTanh[(Sqrt[a]*x)/Sqrt[1 - a]]/Sqrt[(1 - a)*a])");

}

// {(-c - d + (c - d)*x^2)^(-1), x, 1, -(ArcTanh[(Sqrt[c - d]*x)/Sqrt[c + d]]/(Sqrt[c - d]*Sqrt[c + d]))}
public void test00633() {
	check("Integrate[(-c - d + (c - d)*x^2)^(-1), x]", "-(ArcTanh[(Sqrt[c - d]*x)/Sqrt[c + d]]/(Sqrt[c - d]*Sqrt[c + d]))");

}

// {(a + (b - a*c)*x^2)^(-1), x, 1, ArcTan[(Sqrt[b - a*c]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b - a*c])}
public void test00634() {
	check("Integrate[(a + (b - a*c)*x^2)^(-1), x]", "ArcTan[(Sqrt[b - a*c]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b - a*c])");

}

// {(a - (b - a*c)*x^2)^(-1), x, 1, ArcTanh[(Sqrt[b - a*c]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b - a*c])}
public void test00635() {
	check("Integrate[(a - (b - a*c)*x^2)^(-1), x]", "ArcTanh[(Sqrt[b - a*c]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b - a*c])");

}

// {(c*(a - d) - (b - c)*x^2)^(-1), x, 1, ArcTanh[(Sqrt[b - c]*x)/(Sqrt[c]*Sqrt[a - d])]/(Sqrt[b - c]*Sqrt[c]*Sqrt[a - d])}
public void test00636() {
	check("Integrate[(c*(a - d) - (b - c)*x^2)^(-1), x]", "ArcTanh[(Sqrt[b - c]*x)/(Sqrt[c]*Sqrt[a - d])]/(Sqrt[b - c]*Sqrt[c]*Sqrt[a - d])");

}

// {x^m/(a + b*x^2), x, 1, (x^(1 + m)*Hypergeometric2F1[1, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a*(1 + m))}
public void test00637() {
	check("Integrate[x^m/(a + b*x^2), x]", "(x^(1 + m)*Hypergeometric2F1[1, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a*(1 + m))");

}

// {x^m/(a + b*x^2)^2, x, 1, (x^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a^2*(1 + m))}
public void test00638() {
	check("Integrate[x^m/(a + b*x^2)^2, x]", "(x^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a^2*(1 + m))");

}

// {x^m/(a + b*x^2)^3, x, 1, (x^(1 + m)*Hypergeometric2F1[3, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a^3*(1 + m))}
public void test00639() {
	check("Integrate[x^m/(a + b*x^2)^3, x]", "(x^(1 + m)*Hypergeometric2F1[3, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a^3*(1 + m))");

}

// {(c*x)^(1 + m)/(a + b*x^2), x, 1, ((c*x)^(2 + m)*Hypergeometric2F1[1, (2 + m)/2, (4 + m)/2, -((b*x^2)/a)])/(a*c*(2 + m))}
public void test00640() {
	check("Integrate[(c*x)^(1 + m)/(a + b*x^2), x]", "((c*x)^(2 + m)*Hypergeometric2F1[1, (2 + m)/2, (4 + m)/2, -((b*x^2)/a)])/(a*c*(2 + m))");

}

// {(c*x)^m/(a + b*x^2), x, 1, ((c*x)^(1 + m)*Hypergeometric2F1[1, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a*c*(1 + m))}
public void test00641() {
	check("Integrate[(c*x)^m/(a + b*x^2), x]", "((c*x)^(1 + m)*Hypergeometric2F1[1, (1 + m)/2, (3 + m)/2, -((b*x^2)/a)])/(a*c*(1 + m))");

}

// {(c*x)^(-1 + m)/(a + b*x^2), x, 1, ((c*x)^m*Hypergeometric2F1[1, m/2, (2 + m)/2, -((b*x^2)/a)])/(a*c*m)}
public void test00642() {
	check("Integrate[(c*x)^(-1 + m)/(a + b*x^2), x]", "((c*x)^m*Hypergeometric2F1[1, m/2, (2 + m)/2, -((b*x^2)/a)])/(a*c*m)");

}

// {(c*x)^(-2 + m)/(a + b*x^2), x, 1, -(((c*x)^(-1 + m)*Hypergeometric2F1[1, (-1 + m)/2, (1 + m)/2, -((b*x^2)/a)])/(a*c*(1 - m)))}
public void test00643() {
	check("Integrate[(c*x)^(-2 + m)/(a + b*x^2), x]", "-(((c*x)^(-1 + m)*Hypergeometric2F1[1, (-1 + m)/2, (1 + m)/2, -((b*x^2)/a)])/(a*c*(1 - m)))");

}

// {(c*x)^(-3 + m)/(a + b*x^2), x, 1, -(((c*x)^(-2 + m)*Hypergeometric2F1[1, (-2 + m)/2, m/2, -((b*x^2)/a)])/(a*c*(2 - m)))}
public void test00644() {
	check("Integrate[(c*x)^(-3 + m)/(a + b*x^2), x]", "-(((c*x)^(-2 + m)*Hypergeometric2F1[1, (-2 + m)/2, m/2, -((b*x^2)/a)])/(a*c*(2 - m)))");

}

// {x^m/(1 + (a*x^2)/b)^2, x, 1, (x^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((a*x^2)/b)])/(1 + m)}
public void test00645() {
	check("Integrate[x^m/(1 + (a*x^2)/b)^2, x]", "(x^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((a*x^2)/b)])/(1 + m)");

}

// {x*Sqrt[a + b*x^2], x, 1, (a + b*x^2)^(3/2)/(3*b)}
public void test00646() {
	check("Integrate[x*Sqrt[a + b*x^2], x]", "(a + b*x^2)^(3/2)/(3*b)");

}

// {Sqrt[a + b*x^2]/x^4, x, 1, -(a + b*x^2)^(3/2)/(3*a*x^3)}
public void test00647() {
	check("Integrate[Sqrt[a + b*x^2]/x^4, x]", "-(a + b*x^2)^(3/2)/(3*a*x^3)");

}

// {x*(a + b*x^2)^(3/2), x, 1, (a + b*x^2)^(5/2)/(5*b)}
public void test00648() {
	check("Integrate[x*(a + b*x^2)^(3/2), x]", "(a + b*x^2)^(5/2)/(5*b)");

}

// {(a + b*x^2)^(3/2)/x^6, x, 1, -(a + b*x^2)^(5/2)/(5*a*x^5)}
public void test00649() {
	check("Integrate[(a + b*x^2)^(3/2)/x^6, x]", "-(a + b*x^2)^(5/2)/(5*a*x^5)");

}

// {x*(a + b*x^2)^(5/2), x, 1, (a + b*x^2)^(7/2)/(7*b)}
public void test00650() {
	check("Integrate[x*(a + b*x^2)^(5/2), x]", "(a + b*x^2)^(7/2)/(7*b)");

}

// {(a + b*x^2)^(5/2)/x^8, x, 1, -(a + b*x^2)^(7/2)/(7*a*x^7)}
public void test00651() {
	check("Integrate[(a + b*x^2)^(5/2)/x^8, x]", "-(a + b*x^2)^(7/2)/(7*a*x^7)");

}

// {x*(a + b*x^2)^(9/2), x, 1, (a + b*x^2)^(11/2)/(11*b)}
public void test00652() {
	check("Integrate[x*(a + b*x^2)^(9/2), x]", "(a + b*x^2)^(11/2)/(11*b)");

}

// {(a + b*x^2)^(9/2)/x^12, x, 1, -(a + b*x^2)^(11/2)/(11*a*x^11)}
public void test00653() {
	check("Integrate[(a + b*x^2)^(9/2)/x^12, x]", "-(a + b*x^2)^(11/2)/(11*a*x^11)");

}

// {x*Sqrt[9 + 4*x^2], x, 1, (9 + 4*x^2)^(3/2)/12}
public void test00654() {
	check("Integrate[x*Sqrt[9 + 4*x^2], x]", "(9 + 4*x^2)^(3/2)/12");

}

// {Sqrt[9 + 4*x^2]/x^4, x, 1, -(9 + 4*x^2)^(3/2)/(27*x^3)}
public void test00655() {
	check("Integrate[Sqrt[9 + 4*x^2]/x^4, x]", "-(9 + 4*x^2)^(3/2)/(27*x^3)");

}

// {x*Sqrt[9 - 4*x^2], x, 1, -(9 - 4*x^2)^(3/2)/12}
public void test00656() {
	check("Integrate[x*Sqrt[9 - 4*x^2], x]", "-(9 - 4*x^2)^(3/2)/12");

}

// {Sqrt[9 - 4*x^2]/x^4, x, 1, -(9 - 4*x^2)^(3/2)/(27*x^3)}
public void test00657() {
	check("Integrate[Sqrt[9 - 4*x^2]/x^4, x]", "-(9 - 4*x^2)^(3/2)/(27*x^3)");

}

// {x*Sqrt[-9 + 4*x^2], x, 1, (-9 + 4*x^2)^(3/2)/12}
public void test00658() {
	check("Integrate[x*Sqrt[-9 + 4*x^2], x]", "(-9 + 4*x^2)^(3/2)/12");

}

// {Sqrt[-9 + 4*x^2]/x^4, x, 1, (-9 + 4*x^2)^(3/2)/(27*x^3)}
public void test00659() {
	check("Integrate[Sqrt[-9 + 4*x^2]/x^4, x]", "(-9 + 4*x^2)^(3/2)/(27*x^3)");

}

// {x*Sqrt[-9 - 4*x^2], x, 1, -(-9 - 4*x^2)^(3/2)/12}
public void test00660() {
	check("Integrate[x*Sqrt[-9 - 4*x^2], x]", "-(-9 - 4*x^2)^(3/2)/12");

}

// {Sqrt[-9 - 4*x^2]/x^4, x, 1, (-9 - 4*x^2)^(3/2)/(27*x^3)}
public void test00661() {
	check("Integrate[Sqrt[-9 - 4*x^2]/x^4, x]", "(-9 - 4*x^2)^(3/2)/(27*x^3)");

}

// {x/Sqrt[a + b*x^2], x, 1, Sqrt[a + b*x^2]/b}
public void test00662() {
	check("Integrate[x/Sqrt[a + b*x^2], x]", "Sqrt[a + b*x^2]/b");

}

// {1/(x^2*Sqrt[a + b*x^2]), x, 1, -(Sqrt[a + b*x^2]/(a*x))}
public void test00663() {
	check("Integrate[1/(x^2*Sqrt[a + b*x^2]), x]", "-(Sqrt[a + b*x^2]/(a*x))");

}

// {x/(a + b*x^2)^(3/2), x, 1, -(1/(b*Sqrt[a + b*x^2]))}
public void test00664() {
	check("Integrate[x/(a + b*x^2)^(3/2), x]", "-(1/(b*Sqrt[a + b*x^2]))");

}

// {(a + b*x^2)^(-3/2), x, 1, x/(a*Sqrt[a + b*x^2])}
public void test00665() {
	check("Integrate[(a + b*x^2)^(-3/2), x]", "x/(a*Sqrt[a + b*x^2])");

}

// {x^2/(a + b*x^2)^(5/2), x, 1, x^3/(3*a*(a + b*x^2)^(3/2))}
public void test00666() {
	check("Integrate[x^2/(a + b*x^2)^(5/2), x]", "x^3/(3*a*(a + b*x^2)^(3/2))");

}

// {x/(a + b*x^2)^(5/2), x, 1, -1/(3*b*(a + b*x^2)^(3/2))}
public void test00667() {
	check("Integrate[x/(a + b*x^2)^(5/2), x]", "-1/(3*b*(a + b*x^2)^(3/2))");

}

// {x^6/(a + b*x^2)^(9/2), x, 1, x^7/(7*a*(a + b*x^2)^(7/2))}
public void test00668() {
	check("Integrate[x^6/(a + b*x^2)^(9/2), x]", "x^7/(7*a*(a + b*x^2)^(7/2))");

}

// {x/(a + b*x^2)^(9/2), x, 1, -1/(7*b*(a + b*x^2)^(7/2))}
public void test00669() {
	check("Integrate[x/(a + b*x^2)^(9/2), x]", "-1/(7*b*(a + b*x^2)^(7/2))");

}

// {x/Sqrt[9 + 4*x^2], x, 1, Sqrt[9 + 4*x^2]/4}
public void test00670() {
	check("Integrate[x/Sqrt[9 + 4*x^2], x]", "Sqrt[9 + 4*x^2]/4");

}

// {1/Sqrt[9 + 4*x^2], x, 1, ArcSinh[(2*x)/3]/2}
public void test00671() {
	check("Integrate[1/Sqrt[9 + 4*x^2], x]", "ArcSinh[(2*x)/3]/2");

}

// {1/(x^2*Sqrt[9 + 4*x^2]), x, 1, -Sqrt[9 + 4*x^2]/(9*x)}
public void test00672() {
	check("Integrate[1/(x^2*Sqrt[9 + 4*x^2]), x]", "-Sqrt[9 + 4*x^2]/(9*x)");

}

// {x/Sqrt[9 - 4*x^2], x, 1, -Sqrt[9 - 4*x^2]/4}
public void test00673() {
	check("Integrate[x/Sqrt[9 - 4*x^2], x]", "-Sqrt[9 - 4*x^2]/4");

}

// {1/Sqrt[9 - 4*x^2], x, 1, ArcSin[(2*x)/3]/2}
public void test00674() {
	check("Integrate[1/Sqrt[9 - 4*x^2], x]", "ArcSin[(2*x)/3]/2");

}

// {1/(x^2*Sqrt[9 - 4*x^2]), x, 1, -Sqrt[9 - 4*x^2]/(9*x)}
public void test00675() {
	check("Integrate[1/(x^2*Sqrt[9 - 4*x^2]), x]", "-Sqrt[9 - 4*x^2]/(9*x)");

}

// {x/Sqrt[-9 + 4*x^2], x, 1, Sqrt[-9 + 4*x^2]/4}
public void test00676() {
	check("Integrate[x/Sqrt[-9 + 4*x^2], x]", "Sqrt[-9 + 4*x^2]/4");

}

// {1/(x^2*Sqrt[-9 + 4*x^2]), x, 1, Sqrt[-9 + 4*x^2]/(9*x)}
public void test00677() {
	check("Integrate[1/(x^2*Sqrt[-9 + 4*x^2]), x]", "Sqrt[-9 + 4*x^2]/(9*x)");

}

// {x/Sqrt[-9 - 4*x^2], x, 1, -Sqrt[-9 - 4*x^2]/4}
public void test00678() {
	check("Integrate[x/Sqrt[-9 - 4*x^2], x]", "-Sqrt[-9 - 4*x^2]/4");

}

// {1/(x^2*Sqrt[-9 - 4*x^2]), x, 1, Sqrt[-9 - 4*x^2]/(9*x)}
public void test00679() {
	check("Integrate[1/(x^2*Sqrt[-9 - 4*x^2]), x]", "Sqrt[-9 - 4*x^2]/(9*x)");

}

// {1/Sqrt[9 + b*x^2], x, 1, ArcSinh[(Sqrt[b]*x)/3]/Sqrt[b]}
public void test00680() {
	check("Integrate[1/Sqrt[9 + b*x^2], x]", "ArcSinh[(Sqrt[b]*x)/3]/Sqrt[b]");

}

// {1/Sqrt[9 - b*x^2], x, 1, ArcSin[(Sqrt[b]*x)/3]/Sqrt[b]}
public void test00681() {
	check("Integrate[1/Sqrt[9 - b*x^2], x]", "ArcSin[(Sqrt[b]*x)/3]/Sqrt[b]");

}

// {1/Sqrt[Pi + b*x^2], x, 1, ArcSinh[(Sqrt[b]*x)/Sqrt[Pi]]/Sqrt[b]}
public void test00682() {
	check("Integrate[1/Sqrt[Pi + b*x^2], x]", "ArcSinh[(Sqrt[b]*x)/Sqrt[Pi]]/Sqrt[b]");

}

// {1/Sqrt[Pi - b*x^2], x, 1, ArcSin[(Sqrt[b]*x)/Sqrt[Pi]]/Sqrt[b]}
public void test00683() {
	check("Integrate[1/Sqrt[Pi - b*x^2], x]", "ArcSin[(Sqrt[b]*x)/Sqrt[Pi]]/Sqrt[b]");

}

// {(x^(1 + m)*(a*(2 + m) + b*(3 + m)*x^2))/Sqrt[a + b*x^2], x, 1, x^(2 + m)*Sqrt[a + b*x^2]}
public void test00684() {
	check("Integrate[(x^(1 + m)*(a*(2 + m) + b*(3 + m)*x^2))/Sqrt[a + b*x^2], x]", "x^(2 + m)*Sqrt[a + b*x^2]");

}

// {(x^(-1 + m)*(a*m + b*(-1 + m)*x^2))/(a + b*x^2)^(3/2), x, 1, x^m/Sqrt[a + b*x^2]}
public void test00685() {
	check("Integrate[(x^(-1 + m)*(a*m + b*(-1 + m)*x^2))/(a + b*x^2)^(3/2), x]", "x^m/Sqrt[a + b*x^2]");

}

// {x*(a + b*x^2)^(1/3), x, 1, (3*(a + b*x^2)^(4/3))/(8*b)}
public void test00686() {
	check("Integrate[x*(a + b*x^2)^(1/3), x]", "(3*(a + b*x^2)^(4/3))/(8*b)");

}

// {x*(a + b*x^2)^(2/3), x, 1, (3*(a + b*x^2)^(5/3))/(10*b)}
public void test00687() {
	check("Integrate[x*(a + b*x^2)^(2/3), x]", "(3*(a + b*x^2)^(5/3))/(10*b)");

}

// {x*(a + b*x^2)^(4/3), x, 1, (3*(a + b*x^2)^(7/3))/(14*b)}
public void test00688() {
	check("Integrate[x*(a + b*x^2)^(4/3), x]", "(3*(a + b*x^2)^(7/3))/(14*b)");

}

// {x*(-1 + x^2)^(7/3), x, 1, (3*(-1 + x^2)^(10/3))/20}
public void test00689() {
	check("Integrate[x*(-1 + x^2)^(7/3), x]", "(3*(-1 + x^2)^(10/3))/20");

}

// {x/(a + b*x^2)^(1/3), x, 1, (3*(a + b*x^2)^(2/3))/(4*b)}
public void test00690() {
	check("Integrate[x/(a + b*x^2)^(1/3), x]", "(3*(a + b*x^2)^(2/3))/(4*b)");

}

// {x/(a + b*x^2)^(2/3), x, 1, (3*(a + b*x^2)^(1/3))/(2*b)}
public void test00691() {
	check("Integrate[x/(a + b*x^2)^(2/3), x]", "(3*(a + b*x^2)^(1/3))/(2*b)");

}

// {x/(a + b*x^2)^(4/3), x, 1, -3/(2*b*(a + b*x^2)^(1/3))}
public void test00692() {
	check("Integrate[x/(a + b*x^2)^(4/3), x]", "-3/(2*b*(a + b*x^2)^(1/3))");

}

// {(a + b*x^2)^(1/3)/(c*x)^(11/3), x, 1, (-3*(a + b*x^2)^(4/3))/(8*a*c*(c*x)^(8/3))}
public void test00693() {
	check("Integrate[(a + b*x^2)^(1/3)/(c*x)^(11/3), x]", "(-3*(a + b*x^2)^(4/3))/(8*a*c*(c*x)^(8/3))");

}

// {(a + b*x^2)^(4/3)/(c*x)^(17/3), x, 1, (-3*(a + b*x^2)^(7/3))/(14*a*c*(c*x)^(14/3))}
public void test00694() {
	check("Integrate[(a + b*x^2)^(4/3)/(c*x)^(17/3), x]", "(-3*(a + b*x^2)^(7/3))/(14*a*c*(c*x)^(14/3))");

}

// {1/((c*x)^(5/3)*(a + b*x^2)^(2/3)), x, 1, (-3*(a + b*x^2)^(1/3))/(2*a*c*(c*x)^(2/3))}
public void test00695() {
	check("Integrate[1/((c*x)^(5/3)*(a + b*x^2)^(2/3)), x]", "(-3*(a + b*x^2)^(1/3))/(2*a*c*(c*x)^(2/3))");

}

// {(2 - 3*x^2)^(-1/4), x, 1, (2*2^(1/4)*EllipticE[ArcSin[Sqrt[3/2]*x]/2, 2])/Sqrt[3]}
public void test00696() {
	check("Integrate[(2 - 3*x^2)^(-1/4), x]", "(2*2^(1/4)*EllipticE[ArcSin[Sqrt[3/2]*x]/2, 2])/Sqrt[3]");

}

// {(2 + 3*x^2)^(-3/4), x, 1, (2^(3/4)*EllipticF[ArcTan[Sqrt[3/2]*x]/2, 2])/Sqrt[3]}
public void test00697() {
	check("Integrate[(2 + 3*x^2)^(-3/4), x]", "(2^(3/4)*EllipticF[ArcTan[Sqrt[3/2]*x]/2, 2])/Sqrt[3]");

}

// {(2 - 3*x^2)^(-3/4), x, 1, (2^(3/4)*EllipticF[ArcSin[Sqrt[3/2]*x]/2, 2])/Sqrt[3]}
public void test00698() {
	check("Integrate[(2 - 3*x^2)^(-3/4), x]", "(2^(3/4)*EllipticF[ArcSin[Sqrt[3/2]*x]/2, 2])/Sqrt[3]");

}

// {(a + b*x^2)^(1/4)/(c*x)^(7/2), x, 1, (-2*(a + b*x^2)^(5/4))/(5*a*c*(c*x)^(5/2))}
public void test00699() {
	check("Integrate[(a + b*x^2)^(1/4)/(c*x)^(7/2), x]", "(-2*(a + b*x^2)^(5/4))/(5*a*c*(c*x)^(5/2))");

}

// {(a - b*x^2)^(1/4)/(c*x)^(7/2), x, 1, (-2*(a - b*x^2)^(5/4))/(5*a*c*(c*x)^(5/2))}
public void test00700() {
	check("Integrate[(a - b*x^2)^(1/4)/(c*x)^(7/2), x]", "(-2*(a - b*x^2)^(5/4))/(5*a*c*(c*x)^(5/2))");

}

// {1/((c*x)^(5/2)*(a + b*x^2)^(1/4)), x, 1, (-2*(a + b*x^2)^(3/4))/(3*a*c*(c*x)^(3/2))}
public void test00701() {
	check("Integrate[1/((c*x)^(5/2)*(a + b*x^2)^(1/4)), x]", "(-2*(a + b*x^2)^(3/4))/(3*a*c*(c*x)^(3/2))");

}

// {1/((c*x)^(5/2)*(a - b*x^2)^(1/4)), x, 1, (-2*(a - b*x^2)^(3/4))/(3*a*c*(c*x)^(3/2))}
public void test00702() {
	check("Integrate[1/((c*x)^(5/2)*(a - b*x^2)^(1/4)), x]", "(-2*(a - b*x^2)^(3/4))/(3*a*c*(c*x)^(3/2))");

}

// {1/((c*x)^(3/2)*(a + b*x^2)^(3/4)), x, 1, (-2*(a + b*x^2)^(1/4))/(a*c*Sqrt[c*x])}
public void test00703() {
	check("Integrate[1/((c*x)^(3/2)*(a + b*x^2)^(3/4)), x]", "(-2*(a + b*x^2)^(1/4))/(a*c*Sqrt[c*x])");

}

// {1/((c*x)^(3/2)*(a - b*x^2)^(3/4)), x, 1, (-2*(a - b*x^2)^(1/4))/(a*c*Sqrt[c*x])}
public void test00704() {
	check("Integrate[1/((c*x)^(3/2)*(a - b*x^2)^(3/4)), x]", "(-2*(a - b*x^2)^(1/4))/(a*c*Sqrt[c*x])");

}

// {1/(Sqrt[c*x]*(a + b*x^2)^(5/4)), x, 1, (2*Sqrt[c*x])/(a*c*(a + b*x^2)^(1/4))}
public void test00705() {
	check("Integrate[1/(Sqrt[c*x]*(a + b*x^2)^(5/4)), x]", "(2*Sqrt[c*x])/(a*c*(a + b*x^2)^(1/4))");

}

// {x*(a + b*x^2)^p, x, 1, (a + b*x^2)^(1 + p)/(2*b*(1 + p))}
public void test00706() {
	check("Integrate[x*(a + b*x^2)^p, x]", "(a + b*x^2)^(1 + p)/(2*b*(1 + p))");

}

// {x^(-3 - 2*p)*(a + b*x^2)^p, x, 1, -(a + b*x^2)^(1 + p)/(2*a*(1 + p)*x^(2*(1 + p)))}
public void test00707() {
	check("Integrate[x^(-3 - 2*p)*(a + b*x^2)^p, x]", "-(a + b*x^2)^(1 + p)/(2*a*(1 + p)*x^(2*(1 + p)))");

}

// {(a + b*x^2)^(-3/2), x, 1, x/(a*Sqrt[a + b*x^2])}
public void test00708() {
	check("Integrate[(a + b*x^2)^(-3/2), x]", "x/(a*Sqrt[a + b*x^2])");

}

// {1/((a - b*x^2)^(1/3)*(3*a + b*x^2)), x, 1, ArcTan[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) + ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) - 2^(1/3)*(a - b*x^2)^(1/3)))/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*a^(5/6)*Sqrt[b]) + ArcTanh[(Sqrt[b]*x)/(a^(1/6)*(a^(1/3) + 2^(1/3)*(a - b*x^2)^(1/3)))]/(2*2^(2/3)*a^(5/6)*Sqrt[b])}
public void test00709() {
	check("Integrate[1/((a - b*x^2)^(1/3)*(3*a + b*x^2)), x]", "ArcTan[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) + ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) - 2^(1/3)*(a - b*x^2)^(1/3)))/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*a^(5/6)*Sqrt[b]) + ArcTanh[(Sqrt[b]*x)/(a^(1/6)*(a^(1/3) + 2^(1/3)*(a - b*x^2)^(1/3)))]/(2*2^(2/3)*a^(5/6)*Sqrt[b])");

}

// {1/((-3*a - b*x^2)*(-a + b*x^2)^(1/3)), x, 1, -ArcTan[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*(-a)^(1/3)*Sqrt[a]*Sqrt[b]) - ArcTan[(Sqrt[3]*Sqrt[a]*((-a)^(1/3) - 2^(1/3)*(-a + b*x^2)^(1/3)))/((-a)^(1/3)*Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*(-a)^(1/3)*Sqrt[a]*Sqrt[b]) + ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*(-a)^(1/3)*Sqrt[a]*Sqrt[b]) - ArcTanh[((-a)^(1/3)*Sqrt[b]*x)/(Sqrt[a]*((-a)^(1/3) + 2^(1/3)*(-a + b*x^2)^(1/3)))]/(2*2^(2/3)*(-a)^(1/3)*Sqrt[a]*Sqrt[b])}
public void test00710() {
	check("Integrate[1/((-3*a - b*x^2)*(-a + b*x^2)^(1/3)), x]", "-ArcTan[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*(-a)^(1/3)*Sqrt[a]*Sqrt[b]) - ArcTan[(Sqrt[3]*Sqrt[a]*((-a)^(1/3) - 2^(1/3)*(-a + b*x^2)^(1/3)))/((-a)^(1/3)*Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*(-a)^(1/3)*Sqrt[a]*Sqrt[b]) + ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*(-a)^(1/3)*Sqrt[a]*Sqrt[b]) - ArcTanh[((-a)^(1/3)*Sqrt[b]*x)/(Sqrt[a]*((-a)^(1/3) + 2^(1/3)*(-a + b*x^2)^(1/3)))]/(2*2^(2/3)*(-a)^(1/3)*Sqrt[a]*Sqrt[b])");

}

// {1/((3*a - b*x^2)*(a + b*x^2)^(1/3)), x, 1, -ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*a^(5/6)*Sqrt[b]) + ArcTan[(Sqrt[b]*x)/(a^(1/6)*(a^(1/3) + 2^(1/3)*(a + b*x^2)^(1/3)))]/(2*2^(2/3)*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[3]*a^(1/6)*(a^(1/3) - 2^(1/3)*(a + b*x^2)^(1/3)))/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b])}
public void test00711() {
	check("Integrate[1/((3*a - b*x^2)*(a + b*x^2)^(1/3)), x]", "-ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*a^(5/6)*Sqrt[b]) + ArcTan[(Sqrt[b]*x)/(a^(1/6)*(a^(1/3) + 2^(1/3)*(a + b*x^2)^(1/3)))]/(2*2^(2/3)*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[3]*a^(1/6)*(a^(1/3) - 2^(1/3)*(a + b*x^2)^(1/3)))/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b])");

}

// {1/((c - d*x^2)*(c + 3*d*x^2)^(1/3)), x, 1, -ArcTan[(Sqrt[3]*Sqrt[d]*x)/Sqrt[c]]/(2*2^(2/3)*Sqrt[3]*c^(5/6)*Sqrt[d]) + (Sqrt[3]*ArcTan[(Sqrt[3]*Sqrt[d]*x)/(c^(1/6)*(c^(1/3) + 2^(1/3)*(c + 3*d*x^2)^(1/3)))])/(2*2^(2/3)*c^(5/6)*Sqrt[d]) - ArcTanh[Sqrt[c]/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d]) - ArcTanh[(c^(1/6)*(c^(1/3) - 2^(1/3)*(c + 3*d*x^2)^(1/3)))/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d])}
public void test00712() {
	check("Integrate[1/((c - d*x^2)*(c + 3*d*x^2)^(1/3)), x]", "-ArcTan[(Sqrt[3]*Sqrt[d]*x)/Sqrt[c]]/(2*2^(2/3)*Sqrt[3]*c^(5/6)*Sqrt[d]) + (Sqrt[3]*ArcTan[(Sqrt[3]*Sqrt[d]*x)/(c^(1/6)*(c^(1/3) + 2^(1/3)*(c + 3*d*x^2)^(1/3)))])/(2*2^(2/3)*c^(5/6)*Sqrt[d]) - ArcTanh[Sqrt[c]/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d]) - ArcTanh[(c^(1/6)*(c^(1/3) - 2^(1/3)*(c + 3*d*x^2)^(1/3)))/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d])");

}

// {1/((a - b*x^2)^(1/3)*(3*a + b*x^2)), x, 1, ArcTan[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) + ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) - 2^(1/3)*(a - b*x^2)^(1/3)))/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*a^(5/6)*Sqrt[b]) + ArcTanh[(Sqrt[b]*x)/(a^(1/6)*(a^(1/3) + 2^(1/3)*(a - b*x^2)^(1/3)))]/(2*2^(2/3)*a^(5/6)*Sqrt[b])}
public void test00713() {
	check("Integrate[1/((a - b*x^2)^(1/3)*(3*a + b*x^2)), x]", "ArcTan[(Sqrt[3]*Sqrt[a])/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) + ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) - 2^(1/3)*(a - b*x^2)^(1/3)))/(Sqrt[b]*x)]/(2*2^(2/3)*Sqrt[3]*a^(5/6)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/Sqrt[a]]/(6*2^(2/3)*a^(5/6)*Sqrt[b]) + ArcTanh[(Sqrt[b]*x)/(a^(1/6)*(a^(1/3) + 2^(1/3)*(a - b*x^2)^(1/3)))]/(2*2^(2/3)*a^(5/6)*Sqrt[b])");

}

// {1/((c - 3*d*x^2)^(1/3)*(c + d*x^2)), x, 1, ArcTan[Sqrt[c]/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d]) + ArcTan[(c^(1/6)*(c^(1/3) - 2^(1/3)*(c - 3*d*x^2)^(1/3)))/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d]) - ArcTanh[(Sqrt[3]*Sqrt[d]*x)/Sqrt[c]]/(2*2^(2/3)*Sqrt[3]*c^(5/6)*Sqrt[d]) + (Sqrt[3]*ArcTanh[(Sqrt[3]*Sqrt[d]*x)/(c^(1/6)*(c^(1/3) + 2^(1/3)*(c - 3*d*x^2)^(1/3)))])/(2*2^(2/3)*c^(5/6)*Sqrt[d])}
public void test00714() {
	check("Integrate[1/((c - 3*d*x^2)^(1/3)*(c + d*x^2)), x]", "ArcTan[Sqrt[c]/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d]) + ArcTan[(c^(1/6)*(c^(1/3) - 2^(1/3)*(c - 3*d*x^2)^(1/3)))/(Sqrt[d]*x)]/(2*2^(2/3)*c^(5/6)*Sqrt[d]) - ArcTanh[(Sqrt[3]*Sqrt[d]*x)/Sqrt[c]]/(2*2^(2/3)*Sqrt[3]*c^(5/6)*Sqrt[d]) + (Sqrt[3]*ArcTanh[(Sqrt[3]*Sqrt[d]*x)/(c^(1/6)*(c^(1/3) + 2^(1/3)*(c - 3*d*x^2)^(1/3)))])/(2*2^(2/3)*c^(5/6)*Sqrt[d])");

}

// {1/((1 - x^2)^(1/3)*(3 + x^2)), x, 1, ArcTan[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) + ArcTan[(Sqrt[3]*(1 - 2^(1/3)*(1 - x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[x]/(6*2^(2/3)) + ArcTanh[x/(1 + 2^(1/3)*(1 - x^2)^(1/3))]/(2*2^(2/3))}
public void test00715() {
	check("Integrate[1/((1 - x^2)^(1/3)*(3 + x^2)), x]", "ArcTan[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) + ArcTan[(Sqrt[3]*(1 - 2^(1/3)*(1 - x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[x]/(6*2^(2/3)) + ArcTanh[x/(1 + 2^(1/3)*(1 - x^2)^(1/3))]/(2*2^(2/3))");

}

// {1/((3 - x^2)*(1 + x^2)^(1/3)), x, 1, -ArcTan[x]/(6*2^(2/3)) + ArcTan[x/(1 + 2^(1/3)*(1 + x^2)^(1/3))]/(2*2^(2/3)) - ArcTanh[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[(Sqrt[3]*(1 - 2^(1/3)*(1 + x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3])}
public void test00716() {
	check("Integrate[1/((3 - x^2)*(1 + x^2)^(1/3)), x]", "-ArcTan[x]/(6*2^(2/3)) + ArcTan[x/(1 + 2^(1/3)*(1 + x^2)^(1/3))]/(2*2^(2/3)) - ArcTanh[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[(Sqrt[3]*(1 - 2^(1/3)*(1 + x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3])");

}

// {(3 - x)/((1 - x^2)^(1/3)*(3 + x^2)), x, 1, -((Sqrt[3]*ArcTan[1/Sqrt[3] - (2^(2/3)*(1 + x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))])/2^(2/3)) - Log[3 + x^2]/(2*2^(2/3)) + (3*Log[2^(1/3)*(1 - x)^(1/3) + (1 + x)^(2/3)])/(2*2^(2/3))}
public void test00717() {
	check("Integrate[(3 - x)/((1 - x^2)^(1/3)*(3 + x^2)), x]", "-((Sqrt[3]*ArcTan[1/Sqrt[3] - (2^(2/3)*(1 + x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))])/2^(2/3)) - Log[3 + x^2]/(2*2^(2/3)) + (3*Log[2^(1/3)*(1 - x)^(1/3) + (1 + x)^(2/3)])/(2*2^(2/3))");

}

// {(3 + x)/((1 - x^2)^(1/3)*(3 + x^2)), x, 1, (Sqrt[3]*ArcTan[1/Sqrt[3] - (2^(2/3)*(1 - x)^(2/3))/(Sqrt[3]*(1 + x)^(1/3))])/2^(2/3) + Log[3 + x^2]/(2*2^(2/3)) - (3*Log[(1 - x)^(2/3) + 2^(1/3)*(1 + x)^(1/3)])/(2*2^(2/3))}
public void test00718() {
	check("Integrate[(3 + x)/((1 - x^2)^(1/3)*(3 + x^2)), x]", "(Sqrt[3]*ArcTan[1/Sqrt[3] - (2^(2/3)*(1 - x)^(2/3))/(Sqrt[3]*(1 + x)^(1/3))])/2^(2/3) + Log[3 + x^2]/(2*2^(2/3)) - (3*Log[(1 - x)^(2/3) + 2^(1/3)*(1 + x)^(1/3)])/(2*2^(2/3))");

}

// {1/((a + b*x^2)^(1/3)*((9*a*d)/b + d*x^2)), x, 1, (Sqrt[b]*ArcTan[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) + (Sqrt[b]*ArcTan[(a^(1/3) - (a + b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d) - (Sqrt[b]*ArcTanh[(Sqrt[3]*a^(1/6)*(a^(1/3) - (a + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d)}
public void test00719() {
	check("Integrate[1/((a + b*x^2)^(1/3)*((9*a*d)/b + d*x^2)), x]", "(Sqrt[b]*ArcTan[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) + (Sqrt[b]*ArcTan[(a^(1/3) - (a + b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d) - (Sqrt[b]*ArcTanh[(Sqrt[3]*a^(1/6)*(a^(1/3) - (a + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d)");

}

// {1/((a - b*x^2)^(1/3)*((-9*a*d)/b + d*x^2)), x, 1, -(Sqrt[b]*ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) - (a - b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d) - (Sqrt[b]*ArcTanh[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) + (Sqrt[b]*ArcTanh[(a^(1/3) - (a - b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d)}
public void test00720() {
	check("Integrate[1/((a - b*x^2)^(1/3)*((-9*a*d)/b + d*x^2)), x]", "-(Sqrt[b]*ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) - (a - b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d) - (Sqrt[b]*ArcTanh[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) + (Sqrt[b]*ArcTanh[(a^(1/3) - (a - b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d)");

}

// {1/((-a + b*x^2)^(1/3)*((-9*a*d)/b + d*x^2)), x, 1, (Sqrt[b]*ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) + (-a + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d) + (Sqrt[b]*ArcTanh[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) - (Sqrt[b]*ArcTanh[(a^(1/3) + (-a + b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d)}
public void test00721() {
	check("Integrate[1/((-a + b*x^2)^(1/3)*((-9*a*d)/b + d*x^2)), x]", "(Sqrt[b]*ArcTan[(Sqrt[3]*a^(1/6)*(a^(1/3) + (-a + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d) + (Sqrt[b]*ArcTanh[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) - (Sqrt[b]*ArcTanh[(a^(1/3) + (-a + b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d)");

}

// {1/((-a - b*x^2)^(1/3)*((9*a*d)/b + d*x^2)), x, 1, -(Sqrt[b]*ArcTan[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) - (Sqrt[b]*ArcTan[(a^(1/3) + (-a - b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d) + (Sqrt[b]*ArcTanh[(Sqrt[3]*a^(1/6)*(a^(1/3) + (-a - b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d)}
public void test00722() {
	check("Integrate[1/((-a - b*x^2)^(1/3)*((9*a*d)/b + d*x^2)), x]", "-(Sqrt[b]*ArcTan[(Sqrt[b]*x)/(3*Sqrt[a])])/(12*a^(5/6)*d) - (Sqrt[b]*ArcTan[(a^(1/3) + (-a - b*x^2)^(1/3))^2/(3*a^(1/6)*Sqrt[b]*x)])/(12*a^(5/6)*d) + (Sqrt[b]*ArcTanh[(Sqrt[3]*a^(1/6)*(a^(1/3) + (-a - b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*Sqrt[3]*a^(5/6)*d)");

}

// {1/((2 + b*x^2)^(1/3)*((18*d)/b + d*x^2)), x, 1, (Sqrt[b]*ArcTan[(Sqrt[b]*x)/(3*Sqrt[2])])/(12*2^(5/6)*d) + (Sqrt[b]*ArcTan[(2^(1/3) - (2 + b*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[b]*x)])/(12*2^(5/6)*d) - (Sqrt[b]*ArcTanh[(2^(1/6)*Sqrt[3]*(2^(1/3) - (2 + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*2^(5/6)*Sqrt[3]*d)}
public void test00723() {
	check("Integrate[1/((2 + b*x^2)^(1/3)*((18*d)/b + d*x^2)), x]", "(Sqrt[b]*ArcTan[(Sqrt[b]*x)/(3*Sqrt[2])])/(12*2^(5/6)*d) + (Sqrt[b]*ArcTan[(2^(1/3) - (2 + b*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[b]*x)])/(12*2^(5/6)*d) - (Sqrt[b]*ArcTanh[(2^(1/6)*Sqrt[3]*(2^(1/3) - (2 + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*2^(5/6)*Sqrt[3]*d)");

}

// {1/((-2 + b*x^2)^(1/3)*((-18*d)/b + d*x^2)), x, 1, (Sqrt[b]*ArcTan[(2^(1/6)*Sqrt[3]*(2^(1/3) + (-2 + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*2^(5/6)*Sqrt[3]*d) + (Sqrt[b]*ArcTanh[(Sqrt[b]*x)/(3*Sqrt[2])])/(12*2^(5/6)*d) - (Sqrt[b]*ArcTanh[(2^(1/3) + (-2 + b*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[b]*x)])/(12*2^(5/6)*d)}
public void test00724() {
	check("Integrate[1/((-2 + b*x^2)^(1/3)*((-18*d)/b + d*x^2)), x]", "(Sqrt[b]*ArcTan[(2^(1/6)*Sqrt[3]*(2^(1/3) + (-2 + b*x^2)^(1/3)))/(Sqrt[b]*x)])/(4*2^(5/6)*Sqrt[3]*d) + (Sqrt[b]*ArcTanh[(Sqrt[b]*x)/(3*Sqrt[2])])/(12*2^(5/6)*d) - (Sqrt[b]*ArcTanh[(2^(1/3) + (-2 + b*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[b]*x)])/(12*2^(5/6)*d)");

}

// {1/((2 + 3*x^2)^(1/3)*(6*d + d*x^2)), x, 1, ArcTan[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) + ArcTan[(2^(1/3) - (2 + 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d) - ArcTanh[(2^(1/6)*(2^(1/3) - (2 + 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d)}
public void test00725() {
	check("Integrate[1/((2 + 3*x^2)^(1/3)*(6*d + d*x^2)), x]", "ArcTan[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) + ArcTan[(2^(1/3) - (2 + 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d) - ArcTanh[(2^(1/6)*(2^(1/3) - (2 + 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d)");

}

// {1/((2 - 3*x^2)^(1/3)*(-6*d + d*x^2)), x, 1, -ArcTan[(2^(1/6)*(2^(1/3) - (2 - 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d) - ArcTanh[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) + ArcTanh[(2^(1/3) - (2 - 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d)}
public void test00726() {
	check("Integrate[1/((2 - 3*x^2)^(1/3)*(-6*d + d*x^2)), x]", "-ArcTan[(2^(1/6)*(2^(1/3) - (2 - 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d) - ArcTanh[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) + ArcTanh[(2^(1/3) - (2 - 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d)");

}

// {1/((-2 + 3*x^2)^(1/3)*(-6*d + d*x^2)), x, 1, ArcTan[(2^(1/6)*(2^(1/3) + (-2 + 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d) + ArcTanh[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) - ArcTanh[(2^(1/3) + (-2 + 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d)}
public void test00727() {
	check("Integrate[1/((-2 + 3*x^2)^(1/3)*(-6*d + d*x^2)), x]", "ArcTan[(2^(1/6)*(2^(1/3) + (-2 + 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d) + ArcTanh[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) - ArcTanh[(2^(1/3) + (-2 + 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d)");

}

// {1/((-2 - 3*x^2)^(1/3)*(6*d + d*x^2)), x, 1, -ArcTan[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) - ArcTan[(2^(1/3) + (-2 - 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d) + ArcTanh[(2^(1/6)*(2^(1/3) + (-2 - 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d)}
public void test00728() {
	check("Integrate[1/((-2 - 3*x^2)^(1/3)*(6*d + d*x^2)), x]", "-ArcTan[x/Sqrt[6]]/(4*2^(5/6)*Sqrt[3]*d) - ArcTan[(2^(1/3) + (-2 - 3*x^2)^(1/3))^2/(3*2^(1/6)*Sqrt[3]*x)]/(4*2^(5/6)*Sqrt[3]*d) + ArcTanh[(2^(1/6)*(2^(1/3) + (-2 - 3*x^2)^(1/3)))/x]/(4*2^(5/6)*d)");

}

// {1/((1 + x^2)^(1/3)*(9 + x^2)), x, 1, ArcTan[x/3]/12 + ArcTan[(1 - (1 + x^2)^(1/3))^2/(3*x)]/12 - ArcTanh[(Sqrt[3]*(1 - (1 + x^2)^(1/3)))/x]/(4*Sqrt[3])}
public void test00729() {
	check("Integrate[1/((1 + x^2)^(1/3)*(9 + x^2)), x]", "ArcTan[x/3]/12 + ArcTan[(1 - (1 + x^2)^(1/3))^2/(3*x)]/12 - ArcTanh[(Sqrt[3]*(1 - (1 + x^2)^(1/3)))/x]/(4*Sqrt[3])");

}

// {1/((1 + b*x^2)^(1/3)*(9 + b*x^2)), x, 1, ArcTan[(Sqrt[b]*x)/3]/(12*Sqrt[b]) + ArcTan[(1 - (1 + b*x^2)^(1/3))^2/(3*Sqrt[b]*x)]/(12*Sqrt[b]) - ArcTanh[(Sqrt[3]*(1 - (1 + b*x^2)^(1/3)))/(Sqrt[b]*x)]/(4*Sqrt[3]*Sqrt[b])}
public void test00730() {
	check("Integrate[1/((1 + b*x^2)^(1/3)*(9 + b*x^2)), x]", "ArcTan[(Sqrt[b]*x)/3]/(12*Sqrt[b]) + ArcTan[(1 - (1 + b*x^2)^(1/3))^2/(3*Sqrt[b]*x)]/(12*Sqrt[b]) - ArcTanh[(Sqrt[3]*(1 - (1 + b*x^2)^(1/3)))/(Sqrt[b]*x)]/(4*Sqrt[3]*Sqrt[b])");

}

// {1/((1 - x^2)^(1/3)*(9 - x^2)), x, 1, ArcTan[(Sqrt[3]*(1 - (1 - x^2)^(1/3)))/x]/(4*Sqrt[3]) + ArcTanh[x/3]/12 - ArcTanh[(1 - (1 - x^2)^(1/3))^2/(3*x)]/12}
public void test00731() {
	check("Integrate[1/((1 - x^2)^(1/3)*(9 - x^2)), x]", "ArcTan[(Sqrt[3]*(1 - (1 - x^2)^(1/3)))/x]/(4*Sqrt[3]) + ArcTanh[x/3]/12 - ArcTanh[(1 - (1 - x^2)^(1/3))^2/(3*x)]/12");

}

// {Sqrt[c + d*x^2]/(a + b*x^2)^(3/2), x, 1, (Sqrt[c + d*x^2]*EllipticE[ArcTan[(Sqrt[b]*x)/Sqrt[a]], 1 - (a*d)/(b*c)])/(Sqrt[a]*Sqrt[b]*Sqrt[a + b*x^2]*Sqrt[(a*(c + d*x^2))/(c*(a + b*x^2))])}
public void test00732() {
	check("Integrate[Sqrt[c + d*x^2]/(a + b*x^2)^(3/2), x]", "(Sqrt[c + d*x^2]*EllipticE[ArcTan[(Sqrt[b]*x)/Sqrt[a]], 1 - (a*d)/(b*c)])/(Sqrt[a]*Sqrt[b]*Sqrt[a + b*x^2]*Sqrt[(a*(c + d*x^2))/(c*(a + b*x^2))])");

}

// {Sqrt[1 - x^2]/Sqrt[2 - 3*x^2], x, 1, EllipticE[ArcSin[Sqrt[3/2]*x], 2/3]/Sqrt[3]}
public void test00733() {
	check("Integrate[Sqrt[1 - x^2]/Sqrt[2 - 3*x^2], x]", "EllipticE[ArcSin[Sqrt[3/2]*x], 2/3]/Sqrt[3]");

}

// {Sqrt[4 - x^2]/Sqrt[2 - 3*x^2], x, 1, (2*EllipticE[ArcSin[Sqrt[3/2]*x], 1/6])/Sqrt[3]}
public void test00734() {
	check("Integrate[Sqrt[4 - x^2]/Sqrt[2 - 3*x^2], x]", "(2*EllipticE[ArcSin[Sqrt[3/2]*x], 1/6])/Sqrt[3]");

}

// {Sqrt[1 - 4*x^2]/Sqrt[2 - 3*x^2], x, 1, EllipticE[ArcSin[Sqrt[3/2]*x], 8/3]/Sqrt[3]}
public void test00735() {
	check("Integrate[Sqrt[1 - 4*x^2]/Sqrt[2 - 3*x^2], x]", "EllipticE[ArcSin[Sqrt[3/2]*x], 8/3]/Sqrt[3]");

}

// {Sqrt[1 + x^2]/Sqrt[1 - x^2], x, 1, EllipticE[ArcSin[x], -1]}
public void test00736() {
	check("Integrate[Sqrt[1 + x^2]/Sqrt[1 - x^2], x]", "EllipticE[ArcSin[x], -1]");

}

// {Sqrt[1 + x^2]/Sqrt[2 - 3*x^2], x, 1, EllipticE[ArcSin[Sqrt[3/2]*x], -2/3]/Sqrt[3]}
public void test00737() {
	check("Integrate[Sqrt[1 + x^2]/Sqrt[2 - 3*x^2], x]", "EllipticE[ArcSin[Sqrt[3/2]*x], -2/3]/Sqrt[3]");

}

// {Sqrt[4 + x^2]/Sqrt[2 - 3*x^2], x, 1, (2*EllipticE[ArcSin[Sqrt[3/2]*x], -1/6])/Sqrt[3]}
public void test00738() {
	check("Integrate[Sqrt[4 + x^2]/Sqrt[2 - 3*x^2], x]", "(2*EllipticE[ArcSin[Sqrt[3/2]*x], -1/6])/Sqrt[3]");

}

// {Sqrt[1 + 4*x^2]/Sqrt[2 - 3*x^2], x, 1, EllipticE[ArcSin[Sqrt[3/2]*x], -8/3]/Sqrt[3]}
public void test00739() {
	check("Integrate[Sqrt[1 + 4*x^2]/Sqrt[2 - 3*x^2], x]", "EllipticE[ArcSin[Sqrt[3/2]*x], -8/3]/Sqrt[3]");

}

// {1/(Sqrt[a + b*x^2]*Sqrt[c + d*x^2]), x, 1, (Sqrt[c]*Sqrt[a + b*x^2]*EllipticF[ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (b*c)/(a*d)])/(a*Sqrt[d]*Sqrt[(c*(a + b*x^2))/(a*(c + d*x^2))]*Sqrt[c + d*x^2])}
public void test00740() {
	check("Integrate[1/(Sqrt[a + b*x^2]*Sqrt[c + d*x^2]), x]", "(Sqrt[c]*Sqrt[a + b*x^2]*EllipticF[ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (b*c)/(a*d)])/(a*Sqrt[d]*Sqrt[(c*(a + b*x^2))/(a*(c + d*x^2))]*Sqrt[c + d*x^2])");

}

// {Sqrt[a + b*x^2]/(c + d*x^2)^(3/2), x, 1, (Sqrt[a + b*x^2]*EllipticE[ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (b*c)/(a*d)])/(Sqrt[c]*Sqrt[d]*Sqrt[(c*(a + b*x^2))/(a*(c + d*x^2))]*Sqrt[c + d*x^2])}
public void test00741() {
	check("Integrate[Sqrt[a + b*x^2]/(c + d*x^2)^(3/2), x]", "(Sqrt[a + b*x^2]*EllipticE[ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (b*c)/(a*d)])/(Sqrt[c]*Sqrt[d]*Sqrt[(c*(a + b*x^2))/(a*(c + d*x^2))]*Sqrt[c + d*x^2])");

}

// {1/(Sqrt[a + b*x^2]*Sqrt[c + d*x^2]), x, 1, (Sqrt[c]*Sqrt[a + b*x^2]*EllipticF[ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (b*c)/(a*d)])/(a*Sqrt[d]*Sqrt[(c*(a + b*x^2))/(a*(c + d*x^2))]*Sqrt[c + d*x^2])}
public void test00742() {
	check("Integrate[1/(Sqrt[a + b*x^2]*Sqrt[c + d*x^2]), x]", "(Sqrt[c]*Sqrt[a + b*x^2]*EllipticF[ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (b*c)/(a*d)])/(a*Sqrt[d]*Sqrt[(c*(a + b*x^2))/(a*(c + d*x^2))]*Sqrt[c + d*x^2])");

}

// {1/(Sqrt[1 - x^2]*Sqrt[2 + 5*x^2]), x, 1, EllipticF[ArcSin[x], -5/2]/Sqrt[2]}
public void test00743() {
	check("Integrate[1/(Sqrt[1 - x^2]*Sqrt[2 + 5*x^2]), x]", "EllipticF[ArcSin[x], -5/2]/Sqrt[2]");

}

// {1/(Sqrt[1 - x^2]*Sqrt[2 + 4*x^2]), x, 1, EllipticF[ArcSin[x], -2]/Sqrt[2]}
public void test00744() {
	check("Integrate[1/(Sqrt[1 - x^2]*Sqrt[2 + 4*x^2]), x]", "EllipticF[ArcSin[x], -2]/Sqrt[2]");

}

// {1/(Sqrt[1 - x^2]*Sqrt[2 + 3*x^2]), x, 1, EllipticF[ArcSin[x], -3/2]/Sqrt[2]}
public void test00745() {
	check("Integrate[1/(Sqrt[1 - x^2]*Sqrt[2 + 3*x^2]), x]", "EllipticF[ArcSin[x], -3/2]/Sqrt[2]");

}

// {1/(Sqrt[1 - x^2]*Sqrt[2 + x^2]), x, 1, EllipticF[ArcSin[x], -1/2]/Sqrt[2]}
public void test00746() {
	check("Integrate[1/(Sqrt[1 - x^2]*Sqrt[2 + x^2]), x]", "EllipticF[ArcSin[x], -1/2]/Sqrt[2]");

}

// {1/(Sqrt[1 - x^2]*Sqrt[2 - x^2]), x, 1, EllipticF[ArcSin[x], 1/2]/Sqrt[2]}
public void test00747() {
	check("Integrate[1/(Sqrt[1 - x^2]*Sqrt[2 - x^2]), x]", "EllipticF[ArcSin[x], 1/2]/Sqrt[2]");

}

// {1/(Sqrt[2 - 3*x^2]*Sqrt[1 - x^2]), x, 1, EllipticF[ArcSin[x], 3/2]/Sqrt[2]}
public void test00748() {
	check("Integrate[1/(Sqrt[2 - 3*x^2]*Sqrt[1 - x^2]), x]", "EllipticF[ArcSin[x], 3/2]/Sqrt[2]");

}

// {1/(Sqrt[2 - 4*x^2]*Sqrt[1 - x^2]), x, 1, EllipticF[ArcSin[x], 2]/Sqrt[2]}
public void test00749() {
	check("Integrate[1/(Sqrt[2 - 4*x^2]*Sqrt[1 - x^2]), x]", "EllipticF[ArcSin[x], 2]/Sqrt[2]");

}

// {1/(Sqrt[2 - 5*x^2]*Sqrt[1 - x^2]), x, 1, EllipticF[ArcSin[x], 5/2]/Sqrt[2]}
public void test00750() {
	check("Integrate[1/(Sqrt[2 - 5*x^2]*Sqrt[1 - x^2]), x]", "EllipticF[ArcSin[x], 5/2]/Sqrt[2]");

}

// {1/(Sqrt[1 + x^2]*Sqrt[2 + 5*x^2]), x, 1, (Sqrt[2 + 5*x^2]*EllipticF[ArcTan[x], -3/2])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(2 + 5*x^2)/(1 + x^2)])}
public void test00751() {
	check("Integrate[1/(Sqrt[1 + x^2]*Sqrt[2 + 5*x^2]), x]", "(Sqrt[2 + 5*x^2]*EllipticF[ArcTan[x], -3/2])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(2 + 5*x^2)/(1 + x^2)])");

}

// {1/(Sqrt[1 + x^2]*Sqrt[2 + 4*x^2]), x, 1, (Sqrt[1 + 2*x^2]*EllipticF[ArcTan[x], -1])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(1 + 2*x^2)/(1 + x^2)])}
public void test00752() {
	check("Integrate[1/(Sqrt[1 + x^2]*Sqrt[2 + 4*x^2]), x]", "(Sqrt[1 + 2*x^2]*EllipticF[ArcTan[x], -1])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(1 + 2*x^2)/(1 + x^2)])");

}

// {1/(Sqrt[1 + x^2]*Sqrt[2 + 3*x^2]), x, 1, (Sqrt[2 + 3*x^2]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(2 + 3*x^2)/(1 + x^2)])}
public void test00753() {
	check("Integrate[1/(Sqrt[1 + x^2]*Sqrt[2 + 3*x^2]), x]", "(Sqrt[2 + 3*x^2]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(2 + 3*x^2)/(1 + x^2)])");

}

// {1/(Sqrt[1 + x^2]*Sqrt[2 + x^2]), x, 1, (Sqrt[2 + x^2]*EllipticF[ArcTan[x], 1/2])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(2 + x^2)/(1 + x^2)])}
public void test00754() {
	check("Integrate[1/(Sqrt[1 + x^2]*Sqrt[2 + x^2]), x]", "(Sqrt[2 + x^2]*EllipticF[ArcTan[x], 1/2])/(Sqrt[2]*Sqrt[1 + x^2]*Sqrt[(2 + x^2)/(1 + x^2)])");

}

// {1/(Sqrt[2 - x^2]*Sqrt[1 + x^2]), x, 1, EllipticF[ArcSin[x/Sqrt[2]], -2]}
public void test00755() {
	check("Integrate[1/(Sqrt[2 - x^2]*Sqrt[1 + x^2]), x]", "EllipticF[ArcSin[x/Sqrt[2]], -2]");

}

// {1/(Sqrt[2 - 3*x^2]*Sqrt[1 + x^2]), x, 1, EllipticF[ArcSin[Sqrt[3/2]*x], -2/3]/Sqrt[3]}
public void test00756() {
	check("Integrate[1/(Sqrt[2 - 3*x^2]*Sqrt[1 + x^2]), x]", "EllipticF[ArcSin[Sqrt[3/2]*x], -2/3]/Sqrt[3]");

}

// {1/(Sqrt[2 - 4*x^2]*Sqrt[1 + x^2]), x, 1, EllipticF[ArcSin[Sqrt[2]*x], -1/2]/2}
public void test00757() {
	check("Integrate[1/(Sqrt[2 - 4*x^2]*Sqrt[1 + x^2]), x]", "EllipticF[ArcSin[Sqrt[2]*x], -1/2]/2");

}

// {1/(Sqrt[2 - 5*x^2]*Sqrt[1 + x^2]), x, 1, EllipticF[ArcSin[Sqrt[5/2]*x], -2/5]/Sqrt[5]}
public void test00758() {
	check("Integrate[1/(Sqrt[2 - 5*x^2]*Sqrt[1 + x^2]), x]", "EllipticF[ArcSin[Sqrt[5/2]*x], -2/5]/Sqrt[5]");

}

// {1/(Sqrt[2 - x^2]*Sqrt[-1 + x^2]), x, 1, -EllipticF[ArcCos[x/Sqrt[2]], 2]}
public void test00759() {
	check("Integrate[1/(Sqrt[2 - x^2]*Sqrt[-1 + x^2]), x]", "-EllipticF[ArcCos[x/Sqrt[2]], 2]");

}

// {1/(Sqrt[-1 - x^2]*Sqrt[2 + 5*x^2]), x, 1, (Sqrt[2 + 5*x^2]*EllipticF[ArcTan[x], -3/2])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(2 + 5*x^2)/(1 + x^2)])}
public void test00760() {
	check("Integrate[1/(Sqrt[-1 - x^2]*Sqrt[2 + 5*x^2]), x]", "(Sqrt[2 + 5*x^2]*EllipticF[ArcTan[x], -3/2])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(2 + 5*x^2)/(1 + x^2)])");

}

// {1/(Sqrt[-1 - x^2]*Sqrt[2 + 4*x^2]), x, 1, (Sqrt[1 + 2*x^2]*EllipticF[ArcTan[x], -1])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(1 + 2*x^2)/(1 + x^2)])}
public void test00761() {
	check("Integrate[1/(Sqrt[-1 - x^2]*Sqrt[2 + 4*x^2]), x]", "(Sqrt[1 + 2*x^2]*EllipticF[ArcTan[x], -1])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(1 + 2*x^2)/(1 + x^2)])");

}

// {1/(Sqrt[-1 - x^2]*Sqrt[2 + 3*x^2]), x, 1, (Sqrt[2 + 3*x^2]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(2 + 3*x^2)/(1 + x^2)])}
public void test00762() {
	check("Integrate[1/(Sqrt[-1 - x^2]*Sqrt[2 + 3*x^2]), x]", "(Sqrt[2 + 3*x^2]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(2 + 3*x^2)/(1 + x^2)])");

}

// {1/(Sqrt[-1 - x^2]*Sqrt[2 + x^2]), x, 1, (Sqrt[2 + x^2]*EllipticF[ArcTan[x], 1/2])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(2 + x^2)/(1 + x^2)])}
public void test00763() {
	check("Integrate[1/(Sqrt[-1 - x^2]*Sqrt[2 + x^2]), x]", "(Sqrt[2 + x^2]*EllipticF[ArcTan[x], 1/2])/(Sqrt[2]*Sqrt[-1 - x^2]*Sqrt[(2 + x^2)/(1 + x^2)])");

}

// {1/(Sqrt[2 + b*x^2]*Sqrt[3 + d*x^2]), x, 1, (Sqrt[2 + b*x^2]*EllipticF[ArcTan[(Sqrt[d]*x)/Sqrt[3]], 1 - (3*b)/(2*d)])/(Sqrt[2]*Sqrt[d]*Sqrt[(2 + b*x^2)/(3 + d*x^2)]*Sqrt[3 + d*x^2])}
public void test00764() {
	check("Integrate[1/(Sqrt[2 + b*x^2]*Sqrt[3 + d*x^2]), x]", "(Sqrt[2 + b*x^2]*EllipticF[ArcTan[(Sqrt[d]*x)/Sqrt[3]], 1 - (3*b)/(2*d)])/(Sqrt[2]*Sqrt[d]*Sqrt[(2 + b*x^2)/(3 + d*x^2)]*Sqrt[3 + d*x^2])");

}

// {1/(Sqrt[4 + x^2]*Sqrt[c + d*x^2]), x, 1, (Sqrt[c + d*x^2]*EllipticF[ArcTan[x/2], 1 - (4*d)/c])/(c*Sqrt[4 + x^2]*Sqrt[(c + d*x^2)/(c*(4 + x^2))])}
public void test00765() {
	check("Integrate[1/(Sqrt[4 + x^2]*Sqrt[c + d*x^2]), x]", "(Sqrt[c + d*x^2]*EllipticF[ArcTan[x/2], 1 - (4*d)/c])/(c*Sqrt[4 + x^2]*Sqrt[(c + d*x^2)/(c*(4 + x^2))])");

}

// {1/(Sqrt[1 - x^2]*Sqrt[-1 + 2*x^2]), x, 1, -EllipticF[ArcCos[x], 2]}
public void test00766() {
	check("Integrate[1/(Sqrt[1 - x^2]*Sqrt[-1 + 2*x^2]), x]", "-EllipticF[ArcCos[x], 2]");

}

// {Sqrt[-1 + 3*x^2]/Sqrt[2 - 3*x^2], x, 1, -(EllipticE[ArcCos[Sqrt[3/2]*x], 2]/Sqrt[3])}
public void test00767() {
	check("Integrate[Sqrt[-1 + 3*x^2]/Sqrt[2 - 3*x^2], x]", "-(EllipticE[ArcCos[Sqrt[3/2]*x], 2]/Sqrt[3])");

}

// {Sqrt[1 + (2*c*x^2)/(b - Sqrt[b^2 - 4*a*c])]/Sqrt[1 - (2*c*x^2)/(b + Sqrt[b^2 - 4*a*c])], x, 1, (Sqrt[b + Sqrt[b^2 - 4*a*c]]*EllipticE[ArcSin[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*a*c]]], -((b + Sqrt[b^2 - 4*a*c])/(b - Sqrt[b^2 - 4*a*c]))])/(Sqrt[2]*Sqrt[c])}
public void test00768() {
	check("Integrate[Sqrt[1 + (2*c*x^2)/(b - Sqrt[b^2 - 4*a*c])]/Sqrt[1 - (2*c*x^2)/(b + Sqrt[b^2 - 4*a*c])], x]", "(Sqrt[b + Sqrt[b^2 - 4*a*c]]*EllipticE[ArcSin[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*a*c]]], -((b + Sqrt[b^2 - 4*a*c])/(b - Sqrt[b^2 - 4*a*c]))])/(Sqrt[2]*Sqrt[c])");

}

// {Sqrt[1 - (2*c*x^2)/(b - Sqrt[b^2 - 4*a*c])]/Sqrt[1 - (2*c*x^2)/(b + Sqrt[b^2 - 4*a*c])], x, 1, (Sqrt[b + Sqrt[b^2 - 4*a*c]]*EllipticE[ArcSin[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*a*c]]], (b + Sqrt[b^2 - 4*a*c])/(b - Sqrt[b^2 - 4*a*c])])/(Sqrt[2]*Sqrt[c])}
public void test00769() {
	check("Integrate[Sqrt[1 - (2*c*x^2)/(b - Sqrt[b^2 - 4*a*c])]/Sqrt[1 - (2*c*x^2)/(b + Sqrt[b^2 - 4*a*c])], x]", "(Sqrt[b + Sqrt[b^2 - 4*a*c]]*EllipticE[ArcSin[(Sqrt[2]*Sqrt[c]*x)/Sqrt[b + Sqrt[b^2 - 4*a*c]]], (b + Sqrt[b^2 - 4*a*c])/(b - Sqrt[b^2 - 4*a*c])])/(Sqrt[2]*Sqrt[c])");

}

// {1/(Sqrt[3 - 3*Sqrt[3] + 2*Sqrt[3]*x^2]*Sqrt[3 + (-3 + Sqrt[3])*x^2]), x, 1, -(Sqrt[3 + Sqrt[3]]*EllipticF[ArcCos[Sqrt[(3 - Sqrt[3])/3]*x], (1 + Sqrt[3])/2])/6}
public void test00770() {
	check("Integrate[1/(Sqrt[3 - 3*Sqrt[3] + 2*Sqrt[3]*x^2]*Sqrt[3 + (-3 + Sqrt[3])*x^2]), x]", "-(Sqrt[3 + Sqrt[3]]*EllipticF[ArcCos[Sqrt[(3 - Sqrt[3])/3]*x], (1 + Sqrt[3])/2])/6");

}

// {1/((2 + 3*x^2)^(1/4)*(4 + 3*x^2)), x, 1, -ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3]) - ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3])}
public void test00771() {
	check("Integrate[1/((2 + 3*x^2)^(1/4)*(4 + 3*x^2)), x]", "-ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3]) - ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3])");

}

// {1/((2 - 3*x^2)^(1/4)*(4 - 3*x^2)), x, 1, ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3]) + ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3])}
public void test00772() {
	check("Integrate[1/((2 - 3*x^2)^(1/4)*(4 - 3*x^2)), x]", "ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3]) + ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3])");

}

// {1/((2 + b*x^2)^(1/4)*(4 + b*x^2)), x, 1, -ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b]) - ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b])}
public void test00773() {
	check("Integrate[1/((2 + b*x^2)^(1/4)*(4 + b*x^2)), x]", "-ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b]) - ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b])");

}

// {1/((2 - b*x^2)^(1/4)*(4 - b*x^2)), x, 1, ArcTan[(2 - Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b]) + ArcTanh[(2 + Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b])}
public void test00774() {
	check("Integrate[1/((2 - b*x^2)^(1/4)*(4 - b*x^2)), x]", "ArcTan[(2 - Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b]) + ArcTanh[(2 + Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[b])");

}

// {1/((a + 3*x^2)^(1/4)*(2*a + 3*x^2)), x, 1, -ArcTan[(a^(3/4)*(1 + Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4)) - ArcTanh[(a^(3/4)*(1 - Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4))}
public void test00775() {
	check("Integrate[1/((a + 3*x^2)^(1/4)*(2*a + 3*x^2)), x]", "-ArcTan[(a^(3/4)*(1 + Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4)) - ArcTanh[(a^(3/4)*(1 - Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4))");

}

// {1/((a - 3*x^2)^(1/4)*(2*a - 3*x^2)), x, 1, ArcTan[(a^(3/4)*(1 - Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4)) + ArcTanh[(a^(3/4)*(1 + Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4))}
public void test00776() {
	check("Integrate[1/((a - 3*x^2)^(1/4)*(2*a - 3*x^2)), x]", "ArcTan[(a^(3/4)*(1 - Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4)) + ArcTanh[(a^(3/4)*(1 + Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(2*Sqrt[3]*a^(3/4))");

}

// {1/((a + b*x^2)^(1/4)*(2*a + b*x^2)), x, 1, -ArcTan[(a^(3/4)*(1 + Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b]) - ArcTanh[(a^(3/4)*(1 - Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b])}
public void test00777() {
	check("Integrate[1/((a + b*x^2)^(1/4)*(2*a + b*x^2)), x]", "-ArcTan[(a^(3/4)*(1 + Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b]) - ArcTanh[(a^(3/4)*(1 - Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b])");

}

// {1/((a - b*x^2)^(1/4)*(2*a - b*x^2)), x, 1, ArcTan[(a^(3/4)*(1 - Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b]) + ArcTanh[(a^(3/4)*(1 + Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b])}
public void test00778() {
	check("Integrate[1/((a - b*x^2)^(1/4)*(2*a - b*x^2)), x]", "ArcTan[(a^(3/4)*(1 - Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b]) + ArcTanh[(a^(3/4)*(1 + Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(2*a^(3/4)*Sqrt[b])");

}

// {1/((-2 + 3*x^2)*(-1 + 3*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6])}
public void test00779() {
	check("Integrate[1/((-2 + 3*x^2)*(-1 + 3*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6])");

}

// {1/((-2 - 3*x^2)*(-1 - 3*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(2*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(2*Sqrt[6])}
public void test00780() {
	check("Integrate[1/((-2 - 3*x^2)*(-1 - 3*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(2*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(2*Sqrt[6])");

}

// {1/((-2 + b*x^2)*(-1 + b*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b])}
public void test00781() {
	check("Integrate[1/((-2 + b*x^2)*(-1 + b*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b])");

}

// {1/((-2 - b*x^2)*(-1 - b*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b])}
public void test00782() {
	check("Integrate[1/((-2 - b*x^2)*(-1 - b*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(2*Sqrt[2]*Sqrt[b])");

}

// {1/((-2*a + 3*x^2)*(-a + 3*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4))}
public void test00783() {
	check("Integrate[1/((-2*a + 3*x^2)*(-a + 3*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4))");

}

// {1/((-2*a - 3*x^2)*(-a - 3*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4))}
public void test00784() {
	check("Integrate[1/((-2*a - 3*x^2)*(-a - 3*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(2*Sqrt[6]*a^(3/4))");

}

// {1/((-2*a + b*x^2)*(-a + b*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b])}
public void test00785() {
	check("Integrate[1/((-2*a + b*x^2)*(-a + b*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b])");

}

// {1/((-2*a - b*x^2)*(-a - b*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b])}
public void test00786() {
	check("Integrate[1/((-2*a - b*x^2)*(-a - b*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b]) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(2*Sqrt[2]*a^(3/4)*Sqrt[b])");

}

// {1/((2 - x^2)*(-1 + x^2)^(1/4)), x, 1, ArcTan[x/(Sqrt[2]*(-1 + x^2)^(1/4))]/(2*Sqrt[2]) + ArcTanh[x/(Sqrt[2]*(-1 + x^2)^(1/4))]/(2*Sqrt[2])}
public void test00787() {
	check("Integrate[1/((2 - x^2)*(-1 + x^2)^(1/4)), x]", "ArcTan[x/(Sqrt[2]*(-1 + x^2)^(1/4))]/(2*Sqrt[2]) + ArcTanh[x/(Sqrt[2]*(-1 + x^2)^(1/4))]/(2*Sqrt[2])");

}

// {(a + b*x^2)^(-1 - (b*c)/(2*b*c - 2*a*d))*(c + d*x^2)^(-1 + (a*d)/(2*b*c - 2*a*d)), x, 1, (x*(c + d*x^2)^((a*d)/(2*b*c - 2*a*d)))/(a*c*(a + b*x^2)^((b*c)/(2*b*c - 2*a*d)))}
public void test00788() {
	check("Integrate[(a + b*x^2)^(-1 - (b*c)/(2*b*c - 2*a*d))*(c + d*x^2)^(-1 + (a*d)/(2*b*c - 2*a*d)), x]", "(x*(c + d*x^2)^((a*d)/(2*b*c - 2*a*d)))/(a*c*(a + b*x^2)^((b*c)/(2*b*c - 2*a*d)))");

}

// {(1 + x^2)/(-1 + x^2)^2, x, 1, x/(1 - x^2)}
public void test00789() {
	check("Integrate[(1 + x^2)/(-1 + x^2)^2, x]", "x/(1 - x^2)");

}

// {(1 - x^2)/(1 + x^2)^2, x, 1, x/(1 + x^2)}
public void test00790() {
	check("Integrate[(1 - x^2)/(1 + x^2)^2, x]", "x/(1 + x^2)");

}

// {(a + b*x^2)/(-a + b*x^2)^2, x, 1, x/(a - b*x^2)}
public void test00791() {
	check("Integrate[(a + b*x^2)/(-a + b*x^2)^2, x]", "x/(a - b*x^2)");

}

// {(a + b*x^2)/(a - b*x^2)^2, x, 1, x/(a - b*x^2)}
public void test00792() {
	check("Integrate[(a + b*x^2)/(a - b*x^2)^2, x]", "x/(a - b*x^2)");

}

// {(1 + 2*x^2)/(x^5*(1 + x^2)^3), x, 1, -1/(4*x^4*(1 + x^2)^2)}
public void test00793() {
	check("Integrate[(1 + 2*x^2)/(x^5*(1 + x^2)^3), x]", "-1/(4*x^4*(1 + x^2)^2)");

}

// {1/((1 - x^2)^(1/3)*(3 + x^2)), x, 1, ArcTan[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) + ArcTan[(Sqrt[3]*(1 - 2^(1/3)*(1 - x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[x]/(6*2^(2/3)) + ArcTanh[x/(1 + 2^(1/3)*(1 - x^2)^(1/3))]/(2*2^(2/3))}
public void test00794() {
	check("Integrate[1/((1 - x^2)^(1/3)*(3 + x^2)), x]", "ArcTan[Sqrt[3]/x]/(2*2^(2/3)*Sqrt[3]) + ArcTan[(Sqrt[3]*(1 - 2^(1/3)*(1 - x^2)^(1/3)))/x]/(2*2^(2/3)*Sqrt[3]) - ArcTanh[x]/(6*2^(2/3)) + ArcTanh[x/(1 + 2^(1/3)*(1 - x^2)^(1/3))]/(2*2^(2/3))");

}

// {x/((2 - 3*x^2)^(1/4)*(4 - 3*x^2)), x, 1, ArcTan[(Sqrt[2] - Sqrt[2 - 3*x^2])/(2^(3/4)*(2 - 3*x^2)^(1/4))]/(3*2^(3/4)) + ArcTanh[(Sqrt[2] + Sqrt[2 - 3*x^2])/(2^(3/4)*(2 - 3*x^2)^(1/4))]/(3*2^(3/4))}
public void test00795() {
	check("Integrate[x/((2 - 3*x^2)^(1/4)*(4 - 3*x^2)), x]", "ArcTan[(Sqrt[2] - Sqrt[2 - 3*x^2])/(2^(3/4)*(2 - 3*x^2)^(1/4))]/(3*2^(3/4)) + ArcTanh[(Sqrt[2] + Sqrt[2 - 3*x^2])/(2^(3/4)*(2 - 3*x^2)^(1/4))]/(3*2^(3/4))");

}

// {1/((2 - 3*x^2)^(1/4)*(4 - 3*x^2)), x, 1, ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3]) + ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3])}
public void test00796() {
	check("Integrate[1/((2 - 3*x^2)^(1/4)*(4 - 3*x^2)), x]", "ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3]) + ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(2*2^(3/4)*Sqrt[3])");

}

// {1/((-2 + 3*x^2)*(-1 + 3*x^2)^(1/4)), x, 1, -ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6])}
public void test00797() {
	check("Integrate[1/((-2 + 3*x^2)*(-1 + 3*x^2)^(1/4)), x]", "-ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(2*Sqrt[6])");

}

// {x^2/((2 + 3*x^2)^(3/4)*(4 + 3*x^2)), x, 1, -ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3]) + ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3])}
public void test00798() {
	check("Integrate[x^2/((2 + 3*x^2)^(3/4)*(4 + 3*x^2)), x]", "-ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3]) + ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + 3*x^2])/(2*Sqrt[3]*x*(2 + 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3])");

}

// {x^2/((2 - 3*x^2)^(3/4)*(4 - 3*x^2)), x, 1, ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3]) - ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3])}
public void test00799() {
	check("Integrate[x^2/((2 - 3*x^2)^(3/4)*(4 - 3*x^2)), x]", "ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3]) - ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3])");

}

// {x^2/((2 + b*x^2)^(3/4)*(4 + b*x^2)), x, 1, -(ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2^(1/4)*b^(3/2))) + ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2^(1/4)*b^(3/2))}
public void test00800() {
	check("Integrate[x^2/((2 + b*x^2)^(3/4)*(4 + b*x^2)), x]", "-(ArcTan[(2*2^(3/4) + 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2^(1/4)*b^(3/2))) + ArcTanh[(2*2^(3/4) - 2*2^(1/4)*Sqrt[2 + b*x^2])/(2*Sqrt[b]*x*(2 + b*x^2)^(1/4))]/(2^(1/4)*b^(3/2))");

}

// {x^2/((2 - b*x^2)^(3/4)*(4 - b*x^2)), x, 1, ArcTan[(2 - Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2^(1/4)*b^(3/2)) - ArcTanh[(2 + Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2^(1/4)*b^(3/2))}
public void test00801() {
	check("Integrate[x^2/((2 - b*x^2)^(3/4)*(4 - b*x^2)), x]", "ArcTan[(2 - Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2^(1/4)*b^(3/2)) - ArcTanh[(2 + Sqrt[2]*Sqrt[2 - b*x^2])/(2^(1/4)*Sqrt[b]*x*(2 - b*x^2)^(1/4))]/(2^(1/4)*b^(3/2))");

}

// {x^2/((a + 3*x^2)^(3/4)*(2*a + 3*x^2)), x, 1, -ArcTan[(a^(3/4)*(1 + Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4)) + ArcTanh[(a^(3/4)*(1 - Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4))}
public void test00802() {
	check("Integrate[x^2/((a + 3*x^2)^(3/4)*(2*a + 3*x^2)), x]", "-ArcTan[(a^(3/4)*(1 + Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4)) + ArcTanh[(a^(3/4)*(1 - Sqrt[a + 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a + 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4))");

}

// {x^2/((a - 3*x^2)^(3/4)*(2*a - 3*x^2)), x, 1, ArcTan[(a^(3/4)*(1 - Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4)) - ArcTanh[(a^(3/4)*(1 + Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4))}
public void test00803() {
	check("Integrate[x^2/((a - 3*x^2)^(3/4)*(2*a - 3*x^2)), x]", "ArcTan[(a^(3/4)*(1 - Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4)) - ArcTanh[(a^(3/4)*(1 + Sqrt[a - 3*x^2]/Sqrt[a]))/(Sqrt[3]*x*(a - 3*x^2)^(1/4))]/(3*Sqrt[3]*a^(1/4))");

}

// {x^2/((a + b*x^2)^(3/4)*(2*a + b*x^2)), x, 1, -(ArcTan[(a^(3/4)*(1 + Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(a^(1/4)*b^(3/2))) + ArcTanh[(a^(3/4)*(1 - Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(a^(1/4)*b^(3/2))}
public void test00804() {
	check("Integrate[x^2/((a + b*x^2)^(3/4)*(2*a + b*x^2)), x]", "-(ArcTan[(a^(3/4)*(1 + Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(a^(1/4)*b^(3/2))) + ArcTanh[(a^(3/4)*(1 - Sqrt[a + b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a + b*x^2)^(1/4))]/(a^(1/4)*b^(3/2))");

}

// {x^2/((a - b*x^2)^(3/4)*(2*a - b*x^2)), x, 1, ArcTan[(a^(3/4)*(1 - Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(a^(1/4)*b^(3/2)) - ArcTanh[(a^(3/4)*(1 + Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(a^(1/4)*b^(3/2))}
public void test00805() {
	check("Integrate[x^2/((a - b*x^2)^(3/4)*(2*a - b*x^2)), x]", "ArcTan[(a^(3/4)*(1 - Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(a^(1/4)*b^(3/2)) - ArcTanh[(a^(3/4)*(1 + Sqrt[a - b*x^2]/Sqrt[a]))/(Sqrt[b]*x*(a - b*x^2)^(1/4))]/(a^(1/4)*b^(3/2))");

}

// {x^2/((2 - 3*x^2)^(3/4)*(4 - 3*x^2)), x, 1, ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3]) - ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3])}
public void test00806() {
	check("Integrate[x^2/((2 - 3*x^2)^(3/4)*(4 - 3*x^2)), x]", "ArcTan[(2 - Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3]) - ArcTanh[(2 + Sqrt[2]*Sqrt[2 - 3*x^2])/(2^(1/4)*Sqrt[3]*x*(2 - 3*x^2)^(1/4))]/(3*2^(1/4)*Sqrt[3])");

}

// {x^2/((-2 + 3*x^2)*(-1 + 3*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6])}
public void test00807() {
	check("Integrate[x^2/((-2 + 3*x^2)*(-1 + 3*x^2)^(3/4)), x]", "ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6])");

}

// {x^2/((-2 - 3*x^2)*(-1 - 3*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(3*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(3*Sqrt[6])}
public void test00808() {
	check("Integrate[x^2/((-2 - 3*x^2)*(-1 - 3*x^2)^(3/4)), x]", "ArcTan[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(3*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 - 3*x^2)^(1/4)]/(3*Sqrt[6])");

}

// {x^2/((-2 + b*x^2)*(-1 + b*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2))}
public void test00809() {
	check("Integrate[x^2/((-2 + b*x^2)*(-1 + b*x^2)^(3/4)), x]", "ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 + b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2))");

}

// {x^2/((-2 - b*x^2)*(-1 - b*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2))}
public void test00810() {
	check("Integrate[x^2/((-2 - b*x^2)*(-1 - b*x^2)^(3/4)), x]", "ArcTan[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*(-1 - b*x^2)^(1/4))]/(Sqrt[2]*b^(3/2))");

}

// {x^2/((-2*a + 3*x^2)*(-a + 3*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4))}
public void test00811() {
	check("Integrate[x^2/((-2*a + 3*x^2)*(-a + 3*x^2)^(3/4)), x]", "ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a + 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4))");

}

// {x^2/((-2*a - 3*x^2)*(-a - 3*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4))}
public void test00812() {
	check("Integrate[x^2/((-2*a - 3*x^2)*(-a - 3*x^2)^(3/4)), x]", "ArcTan[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4)) - ArcTanh[(Sqrt[3/2]*x)/(a^(1/4)*(-a - 3*x^2)^(1/4))]/(3*Sqrt[6]*a^(1/4))");

}

// {x^2/((-2*a + b*x^2)*(-a + b*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2))}
public void test00813() {
	check("Integrate[x^2/((-2*a + b*x^2)*(-a + b*x^2)^(3/4)), x]", "ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a + b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2))");

}

// {x^2/((-2*a - b*x^2)*(-a - b*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2))}
public void test00814() {
	check("Integrate[x^2/((-2*a - b*x^2)*(-a - b*x^2)^(3/4)), x]", "ArcTan[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2)) - ArcTanh[(Sqrt[b]*x)/(Sqrt[2]*a^(1/4)*(-a - b*x^2)^(1/4))]/(Sqrt[2]*a^(1/4)*b^(3/2))");

}

// {x^2/((-2 + 3*x^2)*(-1 + 3*x^2)^(3/4)), x, 1, ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6])}
public void test00815() {
	check("Integrate[x^2/((-2 + 3*x^2)*(-1 + 3*x^2)^(3/4)), x]", "ArcTan[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6]) - ArcTanh[(Sqrt[3/2]*x)/(-1 + 3*x^2)^(1/4)]/(3*Sqrt[6])");

}

// {Sqrt[e + f*x^2]/((a + b*x^2)*Sqrt[c + d*x^2]), x, 1, (e^(3/2)*Sqrt[c + d*x^2]*EllipticPi[1 - (b*e)/(a*f), ArcTan[(Sqrt[f]*x)/Sqrt[e]], 1 - (d*e)/(c*f)])/(a*c*Sqrt[f]*Sqrt[(e*(c + d*x^2))/(c*(e + f*x^2))]*Sqrt[e + f*x^2])}
public void test00816() {
	check("Integrate[Sqrt[e + f*x^2]/((a + b*x^2)*Sqrt[c + d*x^2]), x]", "(e^(3/2)*Sqrt[c + d*x^2]*EllipticPi[1 - (b*e)/(a*f), ArcTan[(Sqrt[f]*x)/Sqrt[e]], 1 - (d*e)/(c*f)])/(a*c*Sqrt[f]*Sqrt[(e*(c + d*x^2))/(c*(e + f*x^2))]*Sqrt[e + f*x^2])");

}

// {Sqrt[c + d*x^2]/((a + b*x^2)*Sqrt[e + f*x^2]), x, 1, (c^(3/2)*Sqrt[e + f*x^2]*EllipticPi[1 - (b*c)/(a*d), ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (c*f)/(d*e)])/(a*Sqrt[d]*e*Sqrt[c + d*x^2]*Sqrt[(c*(e + f*x^2))/(e*(c + d*x^2))])}
public void test00817() {
	check("Integrate[Sqrt[c + d*x^2]/((a + b*x^2)*Sqrt[e + f*x^2]), x]", "(c^(3/2)*Sqrt[e + f*x^2]*EllipticPi[1 - (b*c)/(a*d), ArcTan[(Sqrt[d]*x)/Sqrt[c]], 1 - (c*f)/(d*e)])/(a*Sqrt[d]*e*Sqrt[c + d*x^2]*Sqrt[(c*(e + f*x^2))/(e*(c + d*x^2))])");

}

// {Sqrt[2 + x^2]/(Sqrt[1 + x^2]*(a + b*x^2)), x, 1, (2*Sqrt[1 + x^2]*EllipticPi[1 - (2*b)/a, ArcTan[x/Sqrt[2]], -1])/(a*Sqrt[(1 + x^2)/(2 + x^2)]*Sqrt[2 + x^2])}
public void test00818() {
	check("Integrate[Sqrt[2 + x^2]/(Sqrt[1 + x^2]*(a + b*x^2)), x]", "(2*Sqrt[1 + x^2]*EllipticPi[1 - (2*b)/a, ArcTan[x/Sqrt[2]], -1])/(a*Sqrt[(1 + x^2)/(2 + x^2)]*Sqrt[2 + x^2])");

}

// {Sqrt[2 + d*x^2]/((a + b*x^2)*Sqrt[3 + f*x^2]), x, 1, (2*Sqrt[3 + f*x^2]*EllipticPi[1 - (2*b)/(a*d), ArcTan[(Sqrt[d]*x)/Sqrt[2]], 1 - (2*f)/(3*d)])/(Sqrt[3]*a*Sqrt[d]*Sqrt[2 + d*x^2]*Sqrt[(3 + f*x^2)/(2 + d*x^2)])}
public void test00819() {
	check("Integrate[Sqrt[2 + d*x^2]/((a + b*x^2)*Sqrt[3 + f*x^2]), x]", "(2*Sqrt[3 + f*x^2]*EllipticPi[1 - (2*b)/(a*d), ArcTan[(Sqrt[d]*x)/Sqrt[2]], 1 - (2*f)/(3*d)])/(Sqrt[3]*a*Sqrt[d]*Sqrt[2 + d*x^2]*Sqrt[(3 + f*x^2)/(2 + d*x^2)])");

}

// {1/((a + b*x^2)*Sqrt[2 + d*x^2]*Sqrt[3 + f*x^2]), x, 1, EllipticPi[(2*b)/(a*d), ArcSin[(Sqrt[-d]*x)/Sqrt[2]], (2*f)/(3*d)]/(Sqrt[3]*a*Sqrt[-d])}
public void test00820() {
	check("Integrate[1/((a + b*x^2)*Sqrt[2 + d*x^2]*Sqrt[3 + f*x^2]), x]", "EllipticPi[(2*b)/(a*d), ArcSin[(Sqrt[-d]*x)/Sqrt[2]], (2*f)/(3*d)]/(Sqrt[3]*a*Sqrt[-d])");

}

// {(A + B*x)/(a + b*x^2)^(3/2), x, 1, -((a*B - A*b*x)/(a*b*Sqrt[a + b*x^2]))}
public void test00821() {
	check("Integrate[(A + B*x)/(a + b*x^2)^(3/2), x]", "-((a*B - A*b*x)/(a*b*Sqrt[a + b*x^2]))");

}

// {Sqrt[b*x], x, 1, (2*(b*x)^(3/2))/(3*b)}
public void test00822() {
	check("Integrate[Sqrt[b*x], x]", "(2*(b*x)^(3/2))/(3*b)");

}

// {(b*x)^(3/2), x, 1, (2*(b*x)^(5/2))/(5*b)}
public void test00823() {
	check("Integrate[(b*x)^(3/2), x]", "(2*(b*x)^(5/2))/(5*b)");

}

// {1/Sqrt[b*x], x, 1, (2*Sqrt[b*x])/b}
public void test00824() {
	check("Integrate[1/Sqrt[b*x], x]", "(2*Sqrt[b*x])/b");

}

// {(b*x)^(-3/2), x, 1, -2/(b*Sqrt[b*x])}
public void test00825() {
	check("Integrate[(b*x)^(-3/2), x]", "-2/(b*Sqrt[b*x])");

}

// {(b*x)^(1/3), x, 1, (3*(b*x)^(4/3))/(4*b)}
public void test00826() {
	check("Integrate[(b*x)^(1/3), x]", "(3*(b*x)^(4/3))/(4*b)");

}

// {(b*x)^(2/3), x, 1, (3*(b*x)^(5/3))/(5*b)}
public void test00827() {
	check("Integrate[(b*x)^(2/3), x]", "(3*(b*x)^(5/3))/(5*b)");

}

// {(b*x)^(-1/3), x, 1, (3*(b*x)^(2/3))/(2*b)}
public void test00828() {
	check("Integrate[(b*x)^(-1/3), x]", "(3*(b*x)^(2/3))/(2*b)");

}

// {(b*x)^(-2/3), x, 1, (3*(b*x)^(1/3))/b}
public void test00829() {
	check("Integrate[(b*x)^(-2/3), x]", "(3*(b*x)^(1/3))/b");

}

// {a + b*x^3, x, 1, a*x + (b*x^4)/4}
public void test00830() {
	check("Integrate[a + b*x^3, x]", "a*x + (b*x^4)/4");

}

// {x^2*(a + b*x^3)^2, x, 1, (a + b*x^3)^3/(9*b)}
public void test00831() {
	check("Integrate[x^2*(a + b*x^3)^2, x]", "(a + b*x^3)^3/(9*b)");

}

// {(a + b*x^3)^2/x^10, x, 1, -(a + b*x^3)^3/(9*a*x^9)}
public void test00832() {
	check("Integrate[(a + b*x^3)^2/x^10, x]", "-(a + b*x^3)^3/(9*a*x^9)");

}

// {x^2*(a + b*x^3)^3, x, 1, (a + b*x^3)^4/(12*b)}
public void test00833() {
	check("Integrate[x^2*(a + b*x^3)^3, x]", "(a + b*x^3)^4/(12*b)");

}

// {(a + b*x^3)^3/x^13, x, 1, -(a + b*x^3)^4/(12*a*x^12)}
public void test00834() {
	check("Integrate[(a + b*x^3)^3/x^13, x]", "-(a + b*x^3)^4/(12*a*x^12)");

}

// {x^2*(a + b*x^3)^5, x, 1, (a + b*x^3)^6/(18*b)}
public void test00835() {
	check("Integrate[x^2*(a + b*x^3)^5, x]", "(a + b*x^3)^6/(18*b)");

}

// {(a + b*x^3)^5/x^19, x, 1, -(a + b*x^3)^6/(18*a*x^18)}
public void test00836() {
	check("Integrate[(a + b*x^3)^5/x^19, x]", "-(a + b*x^3)^6/(18*a*x^18)");

}

// {x^2*(a + b*x^3)^8, x, 1, (a + b*x^3)^9/(27*b)}
public void test00837() {
	check("Integrate[x^2*(a + b*x^3)^8, x]", "(a + b*x^3)^9/(27*b)");

}

// {(a + b*x^3)^8/x^28, x, 1, -(a + b*x^3)^9/(27*a*x^27)}
public void test00838() {
	check("Integrate[(a + b*x^3)^8/x^28, x]", "-(a + b*x^3)^9/(27*a*x^27)");

}

// {x^2/(a + b*x^3), x, 1, Log[a + b*x^3]/(3*b)}
public void test00839() {
	check("Integrate[x^2/(a + b*x^3), x]", "Log[a + b*x^3]/(3*b)");

}

// {x^2/(a + b*x^3)^2, x, 1, -1/(3*b*(a + b*x^3))}
public void test00840() {
	check("Integrate[x^2/(a + b*x^3)^2, x]", "-1/(3*b*(a + b*x^3))");

}

// {x^5/(a + b*x^3)^3, x, 1, x^6/(6*a*(a + b*x^3)^2)}
public void test00841() {
	check("Integrate[x^5/(a + b*x^3)^3, x]", "x^6/(6*a*(a + b*x^3)^2)");

}

// {x^2/(a + b*x^3)^3, x, 1, -1/(6*b*(a + b*x^3)^2)}
public void test00842() {
	check("Integrate[x^2/(a + b*x^3)^3, x]", "-1/(6*b*(a + b*x^3)^2)");

}

// {x^2/(a - b*x^3), x, 1, -Log[a - b*x^3]/(3*b)}
public void test00843() {
	check("Integrate[x^2/(a - b*x^3), x]", "-Log[a - b*x^3]/(3*b)");

}

// {x^2*Sqrt[a + b*x^3], x, 1, (2*(a + b*x^3)^(3/2))/(9*b)}
public void test00844() {
	check("Integrate[x^2*Sqrt[a + b*x^3], x]", "(2*(a + b*x^3)^(3/2))/(9*b)");

}

// {x^2*(a + b*x^3)^(3/2), x, 1, (2*(a + b*x^3)^(5/2))/(15*b)}
public void test00845() {
	check("Integrate[x^2*(a + b*x^3)^(3/2), x]", "(2*(a + b*x^3)^(5/2))/(15*b)");

}

// {x^2/Sqrt[a + b*x^3], x, 1, (2*Sqrt[a + b*x^3])/(3*b)}
public void test00846() {
	check("Integrate[x^2/Sqrt[a + b*x^3], x]", "(2*Sqrt[a + b*x^3])/(3*b)");

}

// {1/Sqrt[a + b*x^3], x, 1, (2*Sqrt[2 + Sqrt[3]]*(a^(1/3) + b^(1/3)*x)*Sqrt[(a^(2/3) - a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*EllipticF[ArcSin[((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)], -7 - 4*Sqrt[3]])/(3^(1/4)*b^(1/3)*Sqrt[(a^(1/3)*(a^(1/3) + b^(1/3)*x))/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*Sqrt[a + b*x^3])}
public void test00847() {
	check("Integrate[1/Sqrt[a + b*x^3], x]", "(2*Sqrt[2 + Sqrt[3]]*(a^(1/3) + b^(1/3)*x)*Sqrt[(a^(2/3) - a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*EllipticF[ArcSin[((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)], -7 - 4*Sqrt[3]])/(3^(1/4)*b^(1/3)*Sqrt[(a^(1/3)*(a^(1/3) + b^(1/3)*x))/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*Sqrt[a + b*x^3])");

}

// {x^2/(a + b*x^3)^(3/2), x, 1, -2/(3*b*Sqrt[a + b*x^3])}
public void test00848() {
	check("Integrate[x^2/(a + b*x^3)^(3/2), x]", "-2/(3*b*Sqrt[a + b*x^3])");

}

// {x^2/Sqrt[1 + x^3], x, 1, (2*Sqrt[1 + x^3])/3}
public void test00849() {
	check("Integrate[x^2/Sqrt[1 + x^3], x]", "(2*Sqrt[1 + x^3])/3");

}

// {1/Sqrt[1 + x^3], x, 1, (2*Sqrt[2 + Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 + Sqrt[3] + x)^2]*EllipticF[ArcSin[(1 - Sqrt[3] + x)/(1 + Sqrt[3] + x)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 + x)/(1 + Sqrt[3] + x)^2]*Sqrt[1 + x^3])}
public void test00850() {
	check("Integrate[1/Sqrt[1 + x^3], x]", "(2*Sqrt[2 + Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 + Sqrt[3] + x)^2]*EllipticF[ArcSin[(1 - Sqrt[3] + x)/(1 + Sqrt[3] + x)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 + x)/(1 + Sqrt[3] + x)^2]*Sqrt[1 + x^3])");

}

// {x^2/Sqrt[1 - x^3], x, 1, (-2*Sqrt[1 - x^3])/3}
public void test00851() {
	check("Integrate[x^2/Sqrt[1 - x^3], x]", "(-2*Sqrt[1 - x^3])/3");

}

// {1/Sqrt[1 - x^3], x, 1, (-2*Sqrt[2 + Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticF[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])}
public void test00852() {
	check("Integrate[1/Sqrt[1 - x^3], x]", "(-2*Sqrt[2 + Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticF[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(3^(1/4)*Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])");

}

// {x^2/Sqrt[-1 + x^3], x, 1, (2*Sqrt[-1 + x^3])/3}
public void test00853() {
	check("Integrate[x^2/Sqrt[-1 + x^3], x]", "(2*Sqrt[-1 + x^3])/3");

}

// {1/Sqrt[-1 + x^3], x, 1, (-2*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 - Sqrt[3] - x)^2]*EllipticF[ArcSin[(1 + Sqrt[3] - x)/(1 - Sqrt[3] - x)], -7 + 4*Sqrt[3]])/(3^(1/4)*Sqrt[-((1 - x)/(1 - Sqrt[3] - x)^2)]*Sqrt[-1 + x^3])}
public void test00854() {
	check("Integrate[1/Sqrt[-1 + x^3], x]", "(-2*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 - Sqrt[3] - x)^2]*EllipticF[ArcSin[(1 + Sqrt[3] - x)/(1 - Sqrt[3] - x)], -7 + 4*Sqrt[3]])/(3^(1/4)*Sqrt[-((1 - x)/(1 - Sqrt[3] - x)^2)]*Sqrt[-1 + x^3])");

}

// {x^2/Sqrt[-1 - x^3], x, 1, (-2*Sqrt[-1 - x^3])/3}
public void test00855() {
	check("Integrate[x^2/Sqrt[-1 - x^3], x]", "(-2*Sqrt[-1 - x^3])/3");

}

// {1/Sqrt[-1 - x^3], x, 1, (2*Sqrt[2 - Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 - Sqrt[3] + x)^2]*EllipticF[ArcSin[(1 + Sqrt[3] + x)/(1 - Sqrt[3] + x)], -7 + 4*Sqrt[3]])/(3^(1/4)*Sqrt[-((1 + x)/(1 - Sqrt[3] + x)^2)]*Sqrt[-1 - x^3])}
public void test00856() {
	check("Integrate[1/Sqrt[-1 - x^3], x]", "(2*Sqrt[2 - Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 - Sqrt[3] + x)^2]*EllipticF[ArcSin[(1 + Sqrt[3] + x)/(1 - Sqrt[3] + x)], -7 + 4*Sqrt[3]])/(3^(1/4)*Sqrt[-((1 + x)/(1 - Sqrt[3] + x)^2)]*Sqrt[-1 - x^3])");

}

// {x^2*(a + b*x^3)^(1/3), x, 1, (a + b*x^3)^(4/3)/(4*b)}
public void test00857() {
	check("Integrate[x^2*(a + b*x^3)^(1/3), x]", "(a + b*x^3)^(4/3)/(4*b)");

}

// {(a + b*x^3)^(1/3)/x^5, x, 1, -(a + b*x^3)^(4/3)/(4*a*x^4)}
public void test00858() {
	check("Integrate[(a + b*x^3)^(1/3)/x^5, x]", "-(a + b*x^3)^(4/3)/(4*a*x^4)");

}

// {x^2*(a + b*x^3)^(2/3), x, 1, (a + b*x^3)^(5/3)/(5*b)}
public void test00859() {
	check("Integrate[x^2*(a + b*x^3)^(2/3), x]", "(a + b*x^3)^(5/3)/(5*b)");

}

// {(a + b*x^3)^(2/3)/x^6, x, 1, -(a + b*x^3)^(5/3)/(5*a*x^5)}
public void test00860() {
	check("Integrate[(a + b*x^3)^(2/3)/x^6, x]", "-(a + b*x^3)^(5/3)/(5*a*x^5)");

}

// {x^2/(a + b*x^3)^(1/3), x, 1, (a + b*x^3)^(2/3)/(2*b)}
public void test00861() {
	check("Integrate[x^2/(a + b*x^3)^(1/3), x]", "(a + b*x^3)^(2/3)/(2*b)");

}

// {(a + b*x^3)^(-1/3), x, 1, ArcTan[(1 + (2*b^(1/3)*x)/(a + b*x^3)^(1/3))/Sqrt[3]]/(Sqrt[3]*b^(1/3)) - Log[-(b^(1/3)*x) + (a + b*x^3)^(1/3)]/(2*b^(1/3))}
public void test00862() {
	check("Integrate[(a + b*x^3)^(-1/3), x]", "ArcTan[(1 + (2*b^(1/3)*x)/(a + b*x^3)^(1/3))/Sqrt[3]]/(Sqrt[3]*b^(1/3)) - Log[-(b^(1/3)*x) + (a + b*x^3)^(1/3)]/(2*b^(1/3))");

}

// {1/(x^3*(a + b*x^3)^(1/3)), x, 1, -(a + b*x^3)^(2/3)/(2*a*x^2)}
public void test00863() {
	check("Integrate[1/(x^3*(a + b*x^3)^(1/3)), x]", "-(a + b*x^3)^(2/3)/(2*a*x^2)");

}

// {x^2/(a + b*x^3)^(2/3), x, 1, (a + b*x^3)^(1/3)/b}
public void test00864() {
	check("Integrate[x^2/(a + b*x^3)^(2/3), x]", "(a + b*x^3)^(1/3)/b");

}

// {1/(x^2*(a + b*x^3)^(2/3)), x, 1, -((a + b*x^3)^(1/3)/(a*x))}
public void test00865() {
	check("Integrate[1/(x^2*(a + b*x^3)^(2/3)), x]", "-((a + b*x^3)^(1/3)/(a*x))");

}

// {(a - b*x^3)^(-1/3), x, 1, -(ArcTan[(1 - (2*b^(1/3)*x)/(a - b*x^3)^(1/3))/Sqrt[3]]/(Sqrt[3]*b^(1/3))) + Log[b^(1/3)*x + (a - b*x^3)^(1/3)]/(2*b^(1/3))}
public void test00866() {
	check("Integrate[(a - b*x^3)^(-1/3), x]", "-(ArcTan[(1 - (2*b^(1/3)*x)/(a - b*x^3)^(1/3))/Sqrt[3]]/(Sqrt[3]*b^(1/3))) + Log[b^(1/3)*x + (a - b*x^3)^(1/3)]/(2*b^(1/3))");

}

// {(2 + x^3)^(-1/3), x, 1, ArcTan[(1 + (2*x)/(2 + x^3)^(1/3))/Sqrt[3]]/Sqrt[3] - Log[-x + (2 + x^3)^(1/3)]/2}
public void test00867() {
	check("Integrate[(2 + x^3)^(-1/3), x]", "ArcTan[(1 + (2*x)/(2 + x^3)^(1/3))/Sqrt[3]]/Sqrt[3] - Log[-x + (2 + x^3)^(1/3)]/2");

}

// {x^2/(2 + x^3)^(1/4), x, 1, (4*(2 + x^3)^(3/4))/9}
public void test00868() {
	check("Integrate[x^2/(2 + x^3)^(1/4), x]", "(4*(2 + x^3)^(3/4))/9");

}

// {x^m/(a + b*x^3), x, 1, (x^(1 + m)*Hypergeometric2F1[1, (1 + m)/3, (4 + m)/3, -((b*x^3)/a)])/(a*(1 + m))}
public void test00869() {
	check("Integrate[x^m/(a + b*x^3), x]", "(x^(1 + m)*Hypergeometric2F1[1, (1 + m)/3, (4 + m)/3, -((b*x^3)/a)])/(a*(1 + m))");

}

// {x^m/(a + b*x^3)^2, x, 1, (x^(1 + m)*Hypergeometric2F1[2, (1 + m)/3, (4 + m)/3, -((b*x^3)/a)])/(a^2*(1 + m))}
public void test00870() {
	check("Integrate[x^m/(a + b*x^3)^2, x]", "(x^(1 + m)*Hypergeometric2F1[2, (1 + m)/3, (4 + m)/3, -((b*x^3)/a)])/(a^2*(1 + m))");

}

// {x^m/(a + b*x^3)^3, x, 1, (x^(1 + m)*Hypergeometric2F1[3, (1 + m)/3, (4 + m)/3, -((b*x^3)/a)])/(a^3*(1 + m))}
public void test00871() {
	check("Integrate[x^m/(a + b*x^3)^3, x]", "(x^(1 + m)*Hypergeometric2F1[3, (1 + m)/3, (4 + m)/3, -((b*x^3)/a)])/(a^3*(1 + m))");

}

// {x^2*(a + b*x^3)^p, x, 1, (a + b*x^3)^(1 + p)/(3*b*(1 + p))}
public void test00872() {
	check("Integrate[x^2*(a + b*x^3)^p, x]", "(a + b*x^3)^(1 + p)/(3*b*(1 + p))");

}

// {a + b*x^4, x, 1, a*x + (b*x^5)/5}
public void test00873() {
	check("Integrate[a + b*x^4, x]", "a*x + (b*x^5)/5");

}

// {x^3*(a + b*x^4)^2, x, 1, (a + b*x^4)^3/(12*b)}
public void test00874() {
	check("Integrate[x^3*(a + b*x^4)^2, x]", "(a + b*x^4)^3/(12*b)");

}

// {x^3*(a + b*x^4)^3, x, 1, (a + b*x^4)^4/(16*b)}
public void test00875() {
	check("Integrate[x^3*(a + b*x^4)^3, x]", "(a + b*x^4)^4/(16*b)");

}

// {x^3/(a + c*x^4), x, 1, Log[a + c*x^4]/(4*c)}
public void test00876() {
	check("Integrate[x^3/(a + c*x^4), x]", "Log[a + c*x^4]/(4*c)");

}

// {x^3/(a + c*x^4)^2, x, 1, -1/(4*c*(a + c*x^4))}
public void test00877() {
	check("Integrate[x^3/(a + c*x^4)^2, x]", "-1/(4*c*(a + c*x^4))");

}

// {x^7/(a + c*x^4)^3, x, 1, x^8/(8*a*(a + c*x^4)^2)}
public void test00878() {
	check("Integrate[x^7/(a + c*x^4)^3, x]", "x^8/(8*a*(a + c*x^4)^2)");

}

// {x^3/(a + c*x^4)^3, x, 1, -1/(8*c*(a + c*x^4)^2)}
public void test00879() {
	check("Integrate[x^3/(a + c*x^4)^3, x]", "-1/(8*c*(a + c*x^4)^2)");

}

// {x^3/(2 + 3*x^4), x, 1, Log[2 + 3*x^4]/12}
public void test00880() {
	check("Integrate[x^3/(2 + 3*x^4), x]", "Log[2 + 3*x^4]/12");

}

// {x^3/(2 + 3*x^4)^2, x, 1, -1/(12*(2 + 3*x^4))}
public void test00881() {
	check("Integrate[x^3/(2 + 3*x^4)^2, x]", "-1/(12*(2 + 3*x^4))");

}

// {x^3/(2*a + 2*b + x^4), x, 1, Log[2*(a + b) + x^4]/4}
public void test00882() {
	check("Integrate[x^3/(2*a + 2*b + x^4), x]", "Log[2*(a + b) + x^4]/4");

}

// {x^3/(2*(a + b) + x^4), x, 1, Log[2*(a + b) + x^4]/4}
public void test00883() {
	check("Integrate[x^3/(2*(a + b) + x^4), x]", "Log[2*(a + b) + x^4]/4");

}

// {x^3*Sqrt[a + c*x^4], x, 1, (a + c*x^4)^(3/2)/(6*c)}
public void test00884() {
	check("Integrate[x^3*Sqrt[a + c*x^4], x]", "(a + c*x^4)^(3/2)/(6*c)");

}

// {Sqrt[a + c*x^4]/x^7, x, 1, -(a + c*x^4)^(3/2)/(6*a*x^6)}
public void test00885() {
	check("Integrate[Sqrt[a + c*x^4]/x^7, x]", "-(a + c*x^4)^(3/2)/(6*a*x^6)");

}

// {x^3*(a + c*x^4)^(3/2), x, 1, (a + c*x^4)^(5/2)/(10*c)}
public void test00886() {
	check("Integrate[x^3*(a + c*x^4)^(3/2), x]", "(a + c*x^4)^(5/2)/(10*c)");

}

// {(a + c*x^4)^(3/2)/x^11, x, 1, -(a + c*x^4)^(5/2)/(10*a*x^10)}
public void test00887() {
	check("Integrate[(a + c*x^4)^(3/2)/x^11, x]", "-(a + c*x^4)^(5/2)/(10*a*x^10)");

}

// {x^3*Sqrt[5 + x^4], x, 1, (5 + x^4)^(3/2)/6}
public void test00888() {
	check("Integrate[x^3*Sqrt[5 + x^4], x]", "(5 + x^4)^(3/2)/6");

}

// {x^3/Sqrt[a + b*x^4], x, 1, Sqrt[a + b*x^4]/(2*b)}
public void test00889() {
	check("Integrate[x^3/Sqrt[a + b*x^4], x]", "Sqrt[a + b*x^4]/(2*b)");

}

// {1/(x^3*Sqrt[a + b*x^4]), x, 1, -Sqrt[a + b*x^4]/(2*a*x^2)}
public void test00890() {
	check("Integrate[1/(x^3*Sqrt[a + b*x^4]), x]", "-Sqrt[a + b*x^4]/(2*a*x^2)");

}

// {1/Sqrt[a + b*x^4], x, 1, ((Sqrt[a] + Sqrt[b]*x^2)*Sqrt[(a + b*x^4)/(Sqrt[a] + Sqrt[b]*x^2)^2]*EllipticF[2*ArcTan[(b^(1/4)*x)/a^(1/4)], 1/2])/(2*a^(1/4)*b^(1/4)*Sqrt[a + b*x^4])}
public void test00891() {
	check("Integrate[1/Sqrt[a + b*x^4], x]", "((Sqrt[a] + Sqrt[b]*x^2)*Sqrt[(a + b*x^4)/(Sqrt[a] + Sqrt[b]*x^2)^2]*EllipticF[2*ArcTan[(b^(1/4)*x)/a^(1/4)], 1/2])/(2*a^(1/4)*b^(1/4)*Sqrt[a + b*x^4])");

}

// {x^3/Sqrt[a - b*x^4], x, 1, -Sqrt[a - b*x^4]/(2*b)}
public void test00892() {
	check("Integrate[x^3/Sqrt[a - b*x^4], x]", "-Sqrt[a - b*x^4]/(2*b)");

}

// {1/(x^3*Sqrt[a - b*x^4]), x, 1, -Sqrt[a - b*x^4]/(2*a*x^2)}
public void test00893() {
	check("Integrate[1/(x^3*Sqrt[a - b*x^4]), x]", "-Sqrt[a - b*x^4]/(2*a*x^2)");

}

// {x^3/(a + b*x^4)^(3/2), x, 1, -1/(2*b*Sqrt[a + b*x^4])}
public void test00894() {
	check("Integrate[x^3/(a + b*x^4)^(3/2), x]", "-1/(2*b*Sqrt[a + b*x^4])");

}

// {x/(a + b*x^4)^(3/2), x, 1, x^2/(2*a*Sqrt[a + b*x^4])}
public void test00895() {
	check("Integrate[x/(a + b*x^4)^(3/2), x]", "x^2/(2*a*Sqrt[a + b*x^4])");

}

// {x^3/Sqrt[1 - x^4], x, 1, -Sqrt[1 - x^4]/2}
public void test00896() {
	check("Integrate[x^3/Sqrt[1 - x^4], x]", "-Sqrt[1 - x^4]/2");

}

// {1/(x^3*Sqrt[1 - x^4]), x, 1, -Sqrt[1 - x^4]/(2*x^2)}
public void test00897() {
	check("Integrate[1/(x^3*Sqrt[1 - x^4]), x]", "-Sqrt[1 - x^4]/(2*x^2)");

}

// {1/Sqrt[1 - x^4], x, 1, EllipticF[ArcSin[x], -1]}
public void test00898() {
	check("Integrate[1/Sqrt[1 - x^4], x]", "EllipticF[ArcSin[x], -1]");

}

// {x^3/(1 - x^4)^(3/2), x, 1, 1/(2*Sqrt[1 - x^4])}
public void test00899() {
	check("Integrate[x^3/(1 - x^4)^(3/2), x]", "1/(2*Sqrt[1 - x^4])");

}

// {x/(1 - x^4)^(3/2), x, 1, x^2/(2*Sqrt[1 - x^4])}
public void test00900() {
	check("Integrate[x/(1 - x^4)^(3/2), x]", "x^2/(2*Sqrt[1 - x^4])");

}

// {x^3/Sqrt[1 + x^4], x, 1, Sqrt[1 + x^4]/2}
public void test00901() {
	check("Integrate[x^3/Sqrt[1 + x^4], x]", "Sqrt[1 + x^4]/2");

}

// {1/(x^3*Sqrt[1 + x^4]), x, 1, -Sqrt[1 + x^4]/(2*x^2)}
public void test00902() {
	check("Integrate[1/(x^3*Sqrt[1 + x^4]), x]", "-Sqrt[1 + x^4]/(2*x^2)");

}

// {1/Sqrt[1 + x^4], x, 1, ((1 + x^2)*Sqrt[(1 + x^4)/(1 + x^2)^2]*EllipticF[2*ArcTan[x], 1/2])/(2*Sqrt[1 + x^4])}
public void test00903() {
	check("Integrate[1/Sqrt[1 + x^4], x]", "((1 + x^2)*Sqrt[(1 + x^4)/(1 + x^2)^2]*EllipticF[2*ArcTan[x], 1/2])/(2*Sqrt[1 + x^4])");

}

// {x^3/(1 + x^4)^(3/2), x, 1, -1/(2*Sqrt[1 + x^4])}
public void test00904() {
	check("Integrate[x^3/(1 + x^4)^(3/2), x]", "-1/(2*Sqrt[1 + x^4])");

}

// {x/(1 + x^4)^(3/2), x, 1, x^2/(2*Sqrt[1 + x^4])}
public void test00905() {
	check("Integrate[x/(1 + x^4)^(3/2), x]", "x^2/(2*Sqrt[1 + x^4])");

}

// {x^3/Sqrt[16 - x^4], x, 1, -Sqrt[16 - x^4]/2}
public void test00906() {
	check("Integrate[x^3/Sqrt[16 - x^4], x]", "-Sqrt[16 - x^4]/2");

}

// {1/(x^3*Sqrt[16 - x^4]), x, 1, -Sqrt[16 - x^4]/(32*x^2)}
public void test00907() {
	check("Integrate[1/(x^3*Sqrt[16 - x^4]), x]", "-Sqrt[16 - x^4]/(32*x^2)");

}

// {1/Sqrt[16 - x^4], x, 1, EllipticF[ArcSin[x/2], -1]/2}
public void test00908() {
	check("Integrate[1/Sqrt[16 - x^4], x]", "EllipticF[ArcSin[x/2], -1]/2");

}

// {1/Sqrt[-1 + x^4], x, 1, (Sqrt[-1 + x^2]*Sqrt[1 + x^2]*EllipticF[ArcSin[(Sqrt[2]*x)/Sqrt[-1 + x^2]], 1/2])/(Sqrt[2]*Sqrt[-1 + x^4])}
public void test00909() {
	check("Integrate[1/Sqrt[-1 + x^4], x]", "(Sqrt[-1 + x^2]*Sqrt[1 + x^2]*EllipticF[ArcSin[(Sqrt[2]*x)/Sqrt[-1 + x^2]], 1/2])/(Sqrt[2]*Sqrt[-1 + x^4])");

}

// {x^3/(1 + x^4)^(4/3), x, 1, -3/(4*(1 + x^4)^(1/3))}
public void test00910() {
	check("Integrate[x^3/(1 + x^4)^(4/3), x]", "-3/(4*(1 + x^4)^(1/3))");

}

// {x^3/(1 + x^4)^(1/3), x, 1, (3*(1 + x^4)^(2/3))/8}
public void test00911() {
	check("Integrate[x^3/(1 + x^4)^(1/3), x]", "(3*(1 + x^4)^(2/3))/8");

}

// {x^3*(a + b*x^4)^(1/4), x, 1, (a + b*x^4)^(5/4)/(5*b)}
public void test00912() {
	check("Integrate[x^3*(a + b*x^4)^(1/4), x]", "(a + b*x^4)^(5/4)/(5*b)");

}

// {(a + b*x^4)^(1/4)/x^6, x, 1, -(a + b*x^4)^(5/4)/(5*a*x^5)}
public void test00913() {
	check("Integrate[(a + b*x^4)^(1/4)/x^6, x]", "-(a + b*x^4)^(5/4)/(5*a*x^5)");

}

// {x^3*(a + b*x^4)^(3/4), x, 1, (a + b*x^4)^(7/4)/(7*b)}
public void test00914() {
	check("Integrate[x^3*(a + b*x^4)^(3/4), x]", "(a + b*x^4)^(7/4)/(7*b)");

}

// {(a + b*x^4)^(3/4)/x^8, x, 1, -(a + b*x^4)^(7/4)/(7*a*x^7)}
public void test00915() {
	check("Integrate[(a + b*x^4)^(3/4)/x^8, x]", "-(a + b*x^4)^(7/4)/(7*a*x^7)");

}

// {x^3*(a + b*x^4)^(5/4), x, 1, (a + b*x^4)^(9/4)/(9*b)}
public void test00916() {
	check("Integrate[x^3*(a + b*x^4)^(5/4), x]", "(a + b*x^4)^(9/4)/(9*b)");

}

// {(a + b*x^4)^(5/4)/x^10, x, 1, -(a + b*x^4)^(9/4)/(9*a*x^9)}
public void test00917() {
	check("Integrate[(a + b*x^4)^(5/4)/x^10, x]", "-(a + b*x^4)^(9/4)/(9*a*x^9)");

}

// {x^3/(a + b*x^4)^(1/4), x, 1, (a + b*x^4)^(3/4)/(3*b)}
public void test00918() {
	check("Integrate[x^3/(a + b*x^4)^(1/4), x]", "(a + b*x^4)^(3/4)/(3*b)");

}

// {1/(x^4*(a + b*x^4)^(1/4)), x, 1, -(a + b*x^4)^(3/4)/(3*a*x^3)}
public void test00919() {
	check("Integrate[1/(x^4*(a + b*x^4)^(1/4)), x]", "-(a + b*x^4)^(3/4)/(3*a*x^3)");

}

// {x^3/(a + b*x^4)^(3/4), x, 1, (a + b*x^4)^(1/4)/b}
public void test00920() {
	check("Integrate[x^3/(a + b*x^4)^(3/4), x]", "(a + b*x^4)^(1/4)/b");

}

// {1/(x^2*(a + b*x^4)^(3/4)), x, 1, -((a + b*x^4)^(1/4)/(a*x))}
public void test00921() {
	check("Integrate[1/(x^2*(a + b*x^4)^(3/4)), x]", "-((a + b*x^4)^(1/4)/(a*x))");

}

// {x^3/(a + b*x^4)^(5/4), x, 1, -(1/(b*(a + b*x^4)^(1/4)))}
public void test00922() {
	check("Integrate[x^3/(a + b*x^4)^(5/4), x]", "-(1/(b*(a + b*x^4)^(1/4)))");

}

// {(a + b*x^4)^(-5/4), x, 1, x/(a*(a + b*x^4)^(1/4))}
public void test00923() {
	check("Integrate[(a + b*x^4)^(-5/4), x]", "x/(a*(a + b*x^4)^(1/4))");

}

// {x^3*(a - b*x^4)^(1/4), x, 1, -(a - b*x^4)^(5/4)/(5*b)}
public void test00924() {
	check("Integrate[x^3*(a - b*x^4)^(1/4), x]", "-(a - b*x^4)^(5/4)/(5*b)");

}

// {(a - b*x^4)^(1/4)/x^6, x, 1, -(a - b*x^4)^(5/4)/(5*a*x^5)}
public void test00925() {
	check("Integrate[(a - b*x^4)^(1/4)/x^6, x]", "-(a - b*x^4)^(5/4)/(5*a*x^5)");

}

// {x^3/(a - b*x^4)^(1/4), x, 1, -(a - b*x^4)^(3/4)/(3*b)}
public void test00926() {
	check("Integrate[x^3/(a - b*x^4)^(1/4), x]", "-(a - b*x^4)^(3/4)/(3*b)");

}

// {1/(x^4*(a - b*x^4)^(1/4)), x, 1, -(a - b*x^4)^(3/4)/(3*a*x^3)}
public void test00927() {
	check("Integrate[1/(x^4*(a - b*x^4)^(1/4)), x]", "-(a - b*x^4)^(3/4)/(3*a*x^3)");

}

// {x^3/(a - b*x^4)^(3/4), x, 1, -((a - b*x^4)^(1/4)/b)}
public void test00928() {
	check("Integrate[x^3/(a - b*x^4)^(3/4), x]", "-((a - b*x^4)^(1/4)/b)");

}

// {1/(x^2*(a - b*x^4)^(3/4)), x, 1, -((a - b*x^4)^(1/4)/(a*x))}
public void test00929() {
	check("Integrate[1/(x^2*(a - b*x^4)^(3/4)), x]", "-((a - b*x^4)^(1/4)/(a*x))");

}

// {x^3*(a + b*x^4)^p, x, 1, (a + b*x^4)^(1 + p)/(4*b*(1 + p))}
public void test00930() {
	check("Integrate[x^3*(a + b*x^4)^p, x]", "(a + b*x^4)^(1 + p)/(4*b*(1 + p))");

}

// {x^4/(a + b*x^5), x, 1, Log[a + b*x^5]/(5*b)}
public void test00931() {
	check("Integrate[x^4/(a + b*x^5), x]", "Log[a + b*x^5]/(5*b)");

}

// {x^4/(a + b*x^5)^2, x, 1, -1/(5*b*(a + b*x^5))}
public void test00932() {
	check("Integrate[x^4/(a + b*x^5)^2, x]", "-1/(5*b*(a + b*x^5))");

}

// {x^4/(2*b + b*x^5), x, 1, Log[2 + x^5]/(5*b)}
public void test00933() {
	check("Integrate[x^4/(2*b + b*x^5), x]", "Log[2 + x^5]/(5*b)");

}

// {x^4/(3 + b*x^5), x, 1, Log[3 + b*x^5]/(5*b)}
public void test00934() {
	check("Integrate[x^4/(3 + b*x^5), x]", "Log[3 + b*x^5]/(5*b)");

}

// {x^4/(1 + x^5), x, 1, Log[1 + x^5]/5}
public void test00935() {
	check("Integrate[x^4/(1 + x^5), x]", "Log[1 + x^5]/5");

}

// {1/(x^(7/2)*Sqrt[a + b*x^5]), x, 1, (-2*Sqrt[a + b*x^5])/(5*a*x^(5/2))}
public void test00936() {
	check("Integrate[1/(x^(7/2)*Sqrt[a + b*x^5]), x]", "(-2*Sqrt[a + b*x^5])/(5*a*x^(5/2))");

}

// {1/(x^(7/2)*Sqrt[1 + x^5]), x, 1, (-2*Sqrt[1 + x^5])/(5*x^(5/2))}
public void test00937() {
	check("Integrate[1/(x^(7/2)*Sqrt[1 + x^5]), x]", "(-2*Sqrt[1 + x^5])/(5*x^(5/2))");

}

// {x^5/(a + b*x^6), x, 1, Log[a + b*x^6]/(6*b)}
public void test00938() {
	check("Integrate[x^5/(a + b*x^6), x]", "Log[a + b*x^6]/(6*b)");

}

// {x^5/(a + b*x^6)^2, x, 1, -1/(6*b*(a + b*x^6))}
public void test00939() {
	check("Integrate[x^5/(a + b*x^6)^2, x]", "-1/(6*b*(a + b*x^6))");

}

// {x^5/(1 - x^6), x, 1, -Log[1 - x^6]/6}
public void test00940() {
	check("Integrate[x^5/(1 - x^6), x]", "-Log[1 - x^6]/6");

}

// {x^5/(1 + x^6), x, 1, Log[1 + x^6]/6}
public void test00941() {
	check("Integrate[x^5/(1 + x^6), x]", "Log[1 + x^6]/6");

}

// {x^5*Sqrt[a^6 - x^6], x, 1, -(a^6 - x^6)^(3/2)/9}
public void test00942() {
	check("Integrate[x^5*Sqrt[a^6 - x^6], x]", "-(a^6 - x^6)^(3/2)/9");

}

// {x^5/Sqrt[2 + x^6], x, 1, Sqrt[2 + x^6]/3}
public void test00943() {
	check("Integrate[x^5/Sqrt[2 + x^6], x]", "Sqrt[2 + x^6]/3");

}

// {1/(x^4*Sqrt[2 + x^6]), x, 1, -Sqrt[2 + x^6]/(6*x^3)}
public void test00944() {
	check("Integrate[1/(x^4*Sqrt[2 + x^6]), x]", "-Sqrt[2 + x^6]/(6*x^3)");

}

// {1/Sqrt[2 + x^6], x, 1, (x*(2^(1/3) + x^2)*Sqrt[(2^(2/3) - 2^(1/3)*x^2 + x^4)/(2^(1/3) + (1 + Sqrt[3])*x^2)^2]*EllipticF[ArcCos[(2^(1/3) + (1 - Sqrt[3])*x^2)/(2^(1/3) + (1 + Sqrt[3])*x^2)], (2 + Sqrt[3])/4])/(2*2^(1/3)*3^(1/4)*Sqrt[(x^2*(2^(1/3) + x^2))/(2^(1/3) + (1 + Sqrt[3])*x^2)^2]*Sqrt[2 + x^6])}
public void test00945() {
	check("Integrate[1/Sqrt[2 + x^6], x]", "(x*(2^(1/3) + x^2)*Sqrt[(2^(2/3) - 2^(1/3)*x^2 + x^4)/(2^(1/3) + (1 + Sqrt[3])*x^2)^2]*EllipticF[ArcCos[(2^(1/3) + (1 - Sqrt[3])*x^2)/(2^(1/3) + (1 + Sqrt[3])*x^2)], (2 + Sqrt[3])/4])/(2*2^(1/3)*3^(1/4)*Sqrt[(x^2*(2^(1/3) + x^2))/(2^(1/3) + (1 + Sqrt[3])*x^2)^2]*Sqrt[2 + x^6])");

}

// {x^5/(2 + x^6)^(3/2), x, 1, -1/(3*Sqrt[2 + x^6])}
public void test00946() {
	check("Integrate[x^5/(2 + x^6)^(3/2), x]", "-1/(3*Sqrt[2 + x^6])");

}

// {x^2/(2 + x^6)^(3/2), x, 1, x^3/(6*Sqrt[2 + x^6])}
public void test00947() {
	check("Integrate[x^2/(2 + x^6)^(3/2), x]", "x^3/(6*Sqrt[2 + x^6])");

}

// {x^m/(a + b*x^7), x, 1, (x^(1 + m)*Hypergeometric2F1[1, (1 + m)/7, (8 + m)/7, -((b*x^7)/a)])/(a*(1 + m))}
public void test00948() {
	check("Integrate[x^m/(a + b*x^7), x]", "(x^(1 + m)*Hypergeometric2F1[1, (1 + m)/7, (8 + m)/7, -((b*x^7)/a)])/(a*(1 + m))");

}

// {x^6/(a + b*x^7), x, 1, Log[a + b*x^7]/(7*b)}
public void test00949() {
	check("Integrate[x^6/(a + b*x^7), x]", "Log[a + b*x^7]/(7*b)");

}

// {x^m/(a - b*x^7), x, 1, (x^(1 + m)*Hypergeometric2F1[1, (1 + m)/7, (8 + m)/7, (b*x^7)/a])/(a*(1 + m))}
public void test00950() {
	check("Integrate[x^m/(a - b*x^7), x]", "(x^(1 + m)*Hypergeometric2F1[1, (1 + m)/7, (8 + m)/7, (b*x^7)/a])/(a*(1 + m))");

}

// {x^6/(a - b*x^7), x, 1, -Log[a - b*x^7]/(7*b)}
public void test00951() {
	check("Integrate[x^6/(a - b*x^7), x]", "-Log[a - b*x^7]/(7*b)");

}

// {x^7/(a + b*x^8), x, 1, Log[a + b*x^8]/(8*b)}
public void test00952() {
	check("Integrate[x^7/(a + b*x^8), x]", "Log[a + b*x^8]/(8*b)");

}

// {x^7/(1 - x^8), x, 1, -Log[1 - x^8]/8}
public void test00953() {
	check("Integrate[x^7/(1 - x^8), x]", "-Log[1 - x^8]/8");

}

// {x^7/(1 + x^8), x, 1, Log[1 + x^8]/8}
public void test00954() {
	check("Integrate[x^7/(1 + x^8), x]", "Log[1 + x^8]/8");

}

// {x^7/Sqrt[1 + x^8], x, 1, Sqrt[1 + x^8]/4}
public void test00955() {
	check("Integrate[x^7/Sqrt[1 + x^8], x]", "Sqrt[1 + x^8]/4");

}

// {1/(x^5*Sqrt[1 + x^8]), x, 1, -Sqrt[1 + x^8]/(4*x^4)}
public void test00956() {
	check("Integrate[1/(x^5*Sqrt[1 + x^8]), x]", "-Sqrt[1 + x^8]/(4*x^4)");

}

// {x^6/Sqrt[1 + x^8], x, 1, (x^7*Hypergeometric2F1[1/2, 7/8, 15/8, -x^8])/7}
public void test00957() {
	check("Integrate[x^6/Sqrt[1 + x^8], x]", "(x^7*Hypergeometric2F1[1/2, 7/8, 15/8, -x^8])/7");

}

// {x^4/Sqrt[1 + x^8], x, 1, (x^5*Hypergeometric2F1[1/2, 5/8, 13/8, -x^8])/5}
public void test00958() {
	check("Integrate[x^4/Sqrt[1 + x^8], x]", "(x^5*Hypergeometric2F1[1/2, 5/8, 13/8, -x^8])/5");

}

// {a + b/x, x, 1, a*x + b*Log[x]}
public void test00959() {
	check("Integrate[a + b/x, x]", "a*x + b*Log[x]");

}

// {(a + b/x)^2/x^2, x, 1, -(a + b/x)^3/(3*b)}
public void test00960() {
	check("Integrate[(a + b/x)^2/x^2, x]", "-(a + b/x)^3/(3*b)");

}

// {(a + b/x)^3/x^2, x, 1, -(a + b/x)^4/(4*b)}
public void test00961() {
	check("Integrate[(a + b/x)^3/x^2, x]", "-(a + b/x)^4/(4*b)");

}

// {(a + b/x)^8/x^2, x, 1, -(a + b/x)^9/(9*b)}
public void test00962() {
	check("Integrate[(a + b/x)^8/x^2, x]", "-(a + b/x)^9/(9*b)");

}

// {1/((a + b/x)*x^2), x, 1, -(Log[a + b/x]/b)}
public void test00963() {
	check("Integrate[1/((a + b/x)*x^2), x]", "-(Log[a + b/x]/b)");

}

// {1/((a + b/x)^2*x^2), x, 1, 1/(b*(a + b/x))}
public void test00964() {
	check("Integrate[1/((a + b/x)^2*x^2), x]", "1/(b*(a + b/x))");

}

// {1/((a + b/x)^3*x^2), x, 1, 1/(2*b*(a + b/x)^2)}
public void test00965() {
	check("Integrate[1/((a + b/x)^3*x^2), x]", "1/(2*b*(a + b/x)^2)");

}

// {Sqrt[a + b/x]/x^2, x, 1, (-2*(a + b/x)^(3/2))/(3*b)}
public void test00966() {
	check("Integrate[Sqrt[a + b/x]/x^2, x]", "(-2*(a + b/x)^(3/2))/(3*b)");

}

// {(a + b/x)^(3/2)/x^2, x, 1, (-2*(a + b/x)^(5/2))/(5*b)}
public void test00967() {
	check("Integrate[(a + b/x)^(3/2)/x^2, x]", "(-2*(a + b/x)^(5/2))/(5*b)");

}

// {(a + b/x)^(5/2)/x^2, x, 1, (-2*(a + b/x)^(7/2))/(7*b)}
public void test00968() {
	check("Integrate[(a + b/x)^(5/2)/x^2, x]", "(-2*(a + b/x)^(7/2))/(7*b)");

}

// {1/(Sqrt[a + b/x]*x^2), x, 1, (-2*Sqrt[a + b/x])/b}
public void test00969() {
	check("Integrate[1/(Sqrt[a + b/x]*x^2), x]", "(-2*Sqrt[a + b/x])/b");

}

// {1/((a + b/x)^(3/2)*x^2), x, 1, 2/(b*Sqrt[a + b/x])}
public void test00970() {
	check("Integrate[1/((a + b/x)^(3/2)*x^2), x]", "2/(b*Sqrt[a + b/x])");

}

// {1/((a + b/x)^(5/2)*x^2), x, 1, 2/(3*b*(a + b/x)^(3/2))}
public void test00971() {
	check("Integrate[1/((a + b/x)^(5/2)*x^2), x]", "2/(3*b*(a + b/x)^(3/2))");

}

// {Sqrt[a + b/x]*Sqrt[x], x, 1, (2*(a + b/x)^(3/2)*x^(3/2))/(3*a)}
public void test00972() {
	check("Integrate[Sqrt[a + b/x]*Sqrt[x], x]", "(2*(a + b/x)^(3/2)*x^(3/2))/(3*a)");

}

// {(a + b/x)^(3/2)*x^(3/2), x, 1, (2*(a + b/x)^(5/2)*x^(5/2))/(5*a)}
public void test00973() {
	check("Integrate[(a + b/x)^(3/2)*x^(3/2), x]", "(2*(a + b/x)^(5/2)*x^(5/2))/(5*a)");

}

// {(a + b/x)^(5/2)*x^(5/2), x, 1, (2*(a + b/x)^(7/2)*x^(7/2))/(7*a)}
public void test00974() {
	check("Integrate[(a + b/x)^(5/2)*x^(5/2), x]", "(2*(a + b/x)^(7/2)*x^(7/2))/(7*a)");

}

// {1/(Sqrt[a + b/x]*Sqrt[x]), x, 1, (2*Sqrt[a + b/x]*Sqrt[x])/a}
public void test00975() {
	check("Integrate[1/(Sqrt[a + b/x]*Sqrt[x]), x]", "(2*Sqrt[a + b/x]*Sqrt[x])/a");

}

// {1/((a + b/x)^(3/2)*x^(3/2)), x, 1, -2/(a*Sqrt[a + b/x]*Sqrt[x])}
public void test00976() {
	check("Integrate[1/((a + b/x)^(3/2)*x^(3/2)), x]", "-2/(a*Sqrt[a + b/x]*Sqrt[x])");

}

// {1/((a + b/x)^(5/2)*x^(5/2)), x, 1, -2/(3*a*(a + b/x)^(3/2)*x^(3/2))}
public void test00977() {
	check("Integrate[1/((a + b/x)^(5/2)*x^(5/2)), x]", "-2/(3*a*(a + b/x)^(3/2)*x^(3/2))");

}

// {a + b/x^2, x, 1, -(b/x) + a*x}
public void test00978() {
	check("Integrate[a + b/x^2, x]", "-(b/x) + a*x");

}

// {(a + b/x^2)^2/x^3, x, 1, -(a + b/x^2)^3/(6*b)}
public void test00979() {
	check("Integrate[(a + b/x^2)^2/x^3, x]", "-(a + b/x^2)^3/(6*b)");

}

// {(a + b/x^2)^3/x^3, x, 1, -(a + b/x^2)^4/(8*b)}
public void test00980() {
	check("Integrate[(a + b/x^2)^3/x^3, x]", "-(a + b/x^2)^4/(8*b)");

}

// {1/((a + b/x^2)*x^3), x, 1, -Log[a + b/x^2]/(2*b)}
public void test00981() {
	check("Integrate[1/((a + b/x^2)*x^3), x]", "-Log[a + b/x^2]/(2*b)");

}

// {1/((a + b/x^2)^2*x^3), x, 1, 1/(2*b*(a + b/x^2))}
public void test00982() {
	check("Integrate[1/((a + b/x^2)^2*x^3), x]", "1/(2*b*(a + b/x^2))");

}

// {1/((a + b/x^2)^3*x^3), x, 1, 1/(4*b*(a + b/x^2)^2)}
public void test00983() {
	check("Integrate[1/((a + b/x^2)^3*x^3), x]", "1/(4*b*(a + b/x^2)^2)");

}

// {Sqrt[a + b/x^2]*x^2, x, 1, ((a + b/x^2)^(3/2)*x^3)/(3*a)}
public void test00984() {
	check("Integrate[Sqrt[a + b/x^2]*x^2, x]", "((a + b/x^2)^(3/2)*x^3)/(3*a)");

}

// {Sqrt[a + b/x^2]/x^3, x, 1, -(a + b/x^2)^(3/2)/(3*b)}
public void test00985() {
	check("Integrate[Sqrt[a + b/x^2]/x^3, x]", "-(a + b/x^2)^(3/2)/(3*b)");

}

// {(a + b/x^2)^(3/2)/x^3, x, 1, -(a + b/x^2)^(5/2)/(5*b)}
public void test00986() {
	check("Integrate[(a + b/x^2)^(3/2)/x^3, x]", "-(a + b/x^2)^(5/2)/(5*b)");

}

// {(a + b/x^2)^(5/2)/x^3, x, 1, -(a + b/x^2)^(7/2)/(7*b)}
public void test00987() {
	check("Integrate[(a + b/x^2)^(5/2)/x^3, x]", "-(a + b/x^2)^(7/2)/(7*b)");

}

// {1/(Sqrt[a + b/x^2]*x^3), x, 1, -(Sqrt[a + b/x^2]/b)}
public void test00988() {
	check("Integrate[1/(Sqrt[a + b/x^2]*x^3), x]", "-(Sqrt[a + b/x^2]/b)");

}

// {1/Sqrt[a + b/x^2], x, 1, (Sqrt[a + b/x^2]*x)/a}
public void test00989() {
	check("Integrate[1/Sqrt[a + b/x^2], x]", "(Sqrt[a + b/x^2]*x)/a");

}

// {1/((a + b/x^2)^(3/2)*x^3), x, 1, 1/(b*Sqrt[a + b/x^2])}
public void test00990() {
	check("Integrate[1/((a + b/x^2)^(3/2)*x^3), x]", "1/(b*Sqrt[a + b/x^2])");

}

// {1/((a + b/x^2)^(3/2)*x^2), x, 1, -(1/(a*Sqrt[a + b/x^2]*x))}
public void test00991() {
	check("Integrate[1/((a + b/x^2)^(3/2)*x^2), x]", "-(1/(a*Sqrt[a + b/x^2]*x))");

}

// {1/((a + b/x^2)^(5/2)*x^3), x, 1, 1/(3*b*(a + b/x^2)^(3/2))}
public void test00992() {
	check("Integrate[1/((a + b/x^2)^(5/2)*x^3), x]", "1/(3*b*(a + b/x^2)^(3/2))");

}

// {1/((a + b/x^2)^(5/2)*x^4), x, 1, -1/(3*a*(a + b/x^2)^(3/2)*x^3)}
public void test00993() {
	check("Integrate[1/((a + b/x^2)^(5/2)*x^4), x]", "-1/(3*a*(a + b/x^2)^(3/2)*x^3)");

}

// {(1 + x^(-2))^(1/3)/x^3, x, 1, (-3*(1 + x^(-2))^(4/3))/8}
public void test00994() {
	check("Integrate[(1 + x^(-2))^(1/3)/x^3, x]", "(-3*(1 + x^(-2))^(4/3))/8");

}

// {(1 + x^(-2))^(5/3)/x^3, x, 1, (-3*(1 + x^(-2))^(8/3))/16}
public void test00995() {
	check("Integrate[(1 + x^(-2))^(5/3)/x^3, x]", "(-3*(1 + x^(-2))^(8/3))/16");

}

// {1/((a + b/x^3)*x^4), x, 1, -Log[a + b/x^3]/(3*b)}
public void test00996() {
	check("Integrate[1/((a + b/x^3)*x^4), x]", "-Log[a + b/x^3]/(3*b)");

}

// {1/((a + b/x^3)^2*x^4), x, 1, 1/(3*b*(a + b/x^3))}
public void test00997() {
	check("Integrate[1/((a + b/x^3)^2*x^4), x]", "1/(3*b*(a + b/x^3))");

}

// {Sqrt[a + b/x^3]/x^4, x, 1, (-2*(a + b/x^3)^(3/2))/(9*b)}
public void test00998() {
	check("Integrate[Sqrt[a + b/x^3]/x^4, x]", "(-2*(a + b/x^3)^(3/2))/(9*b)");

}

// {(a + b/x^3)^(3/2)/x^4, x, 1, (-2*(a + b/x^3)^(5/2))/(15*b)}
public void test00999() {
	check("Integrate[(a + b/x^3)^(3/2)/x^4, x]", "(-2*(a + b/x^3)^(5/2))/(15*b)");

}

// {1/(Sqrt[a + b/x^3]*x^4), x, 1, (-2*Sqrt[a + b/x^3])/(3*b)}
public void test01000() {
	check("Integrate[1/(Sqrt[a + b/x^3]*x^4), x]", "(-2*Sqrt[a + b/x^3])/(3*b)");

}

// {1/((a + b/x^3)^(3/2)*x^4), x, 1, 2/(3*b*Sqrt[a + b/x^3])}
public void test01001() {
	check("Integrate[1/((a + b/x^3)^(3/2)*x^4), x]", "2/(3*b*Sqrt[a + b/x^3])");

}

// {x/Sqrt[a + b/x^4], x, 1, (Sqrt[a + b/x^4]*x^2)/(2*a)}
public void test01002() {
	check("Integrate[x/Sqrt[a + b/x^4], x]", "(Sqrt[a + b/x^4]*x^2)/(2*a)");

}

// {1/((a + b/x^4)^(3/2)*x^3), x, 1, -1/(2*a*Sqrt[a + b/x^4]*x^2)}
public void test01003() {
	check("Integrate[1/((a + b/x^4)^(3/2)*x^3), x]", "-1/(2*a*Sqrt[a + b/x^4]*x^2)");

}

// {a + b*Sqrt[x], x, 1, a*x + (2*b*x^(3/2))/3}
public void test01004() {
	check("Integrate[a + b*Sqrt[x], x]", "a*x + (2*b*x^(3/2))/3");

}

// {(a + b*Sqrt[x])^3/x^3, x, 1, -(a + b*Sqrt[x])^4/(2*a*x^2)}
public void test01005() {
	check("Integrate[(a + b*Sqrt[x])^3/x^3, x]", "-(a + b*Sqrt[x])^4/(2*a*x^2)");

}

// {(a + b*Sqrt[x])^5/x^4, x, 1, -(a + b*Sqrt[x])^6/(3*a*x^3)}
public void test01006() {
	check("Integrate[(a + b*Sqrt[x])^5/x^4, x]", "-(a + b*Sqrt[x])^6/(3*a*x^3)");

}

// {(a + b*Sqrt[x])^15/x^9, x, 1, -(a + b*Sqrt[x])^16/(8*a*x^8)}
public void test01007() {
	check("Integrate[(a + b*Sqrt[x])^15/x^9, x]", "-(a + b*Sqrt[x])^16/(8*a*x^8)");

}

// {x/(a + b*Sqrt[x])^5, x, 1, x^2/(2*a*(a + b*Sqrt[x])^4)}
public void test01008() {
	check("Integrate[x/(a + b*Sqrt[x])^5, x]", "x^2/(2*a*(a + b*Sqrt[x])^4)");

}

// {(a + b*Sqrt[x])^n/Sqrt[x], x, 1, (2*(a + b*Sqrt[x])^(1 + n))/(b*(1 + n))}
public void test01009() {
	check("Integrate[(a + b*Sqrt[x])^n/Sqrt[x], x]", "(2*(a + b*Sqrt[x])^(1 + n))/(b*(1 + n))");

}

// {(1 + Sqrt[x])^2/Sqrt[x], x, 1, (2*(1 + Sqrt[x])^3)/3}
public void test01010() {
	check("Integrate[(1 + Sqrt[x])^2/Sqrt[x], x]", "(2*(1 + Sqrt[x])^3)/3");

}

// {(1 + Sqrt[x])^3/Sqrt[x], x, 1, (1 + Sqrt[x])^4/2}
public void test01011() {
	check("Integrate[(1 + Sqrt[x])^3/Sqrt[x], x]", "(1 + Sqrt[x])^4/2");

}

// {1/((1 + Sqrt[x])*Sqrt[x]), x, 1, 2*Log[1 + Sqrt[x]]}
public void test01012() {
	check("Integrate[1/((1 + Sqrt[x])*Sqrt[x]), x]", "2*Log[1 + Sqrt[x]]");

}

// {1/((1 + Sqrt[x])^2*Sqrt[x]), x, 1, -2/(1 + Sqrt[x])}
public void test01013() {
	check("Integrate[1/((1 + Sqrt[x])^2*Sqrt[x]), x]", "-2/(1 + Sqrt[x])");

}

// {1/((1 + Sqrt[x])^3*Sqrt[x]), x, 1, -(1 + Sqrt[x])^(-2)}
public void test01014() {
	check("Integrate[1/((1 + Sqrt[x])^3*Sqrt[x]), x]", "-(1 + Sqrt[x])^(-2)");

}

// {Sqrt[1 + Sqrt[x]]/Sqrt[x], x, 1, (4*(1 + Sqrt[x])^(3/2))/3}
public void test01015() {
	check("Integrate[Sqrt[1 + Sqrt[x]]/Sqrt[x], x]", "(4*(1 + Sqrt[x])^(3/2))/3");

}

// {Sqrt[x]/(1 + x^(3/2)), x, 1, (2*Log[1 + x^(3/2)])/3}
public void test01016() {
	check("Integrate[Sqrt[x]/(1 + x^(3/2)), x]", "(2*Log[1 + x^(3/2)])/3");

}

// {a + b*x^(1/3), x, 1, a*x + (3*b*x^(4/3))/4}
public void test01017() {
	check("Integrate[a + b*x^(1/3), x]", "a*x + (3*b*x^(4/3))/4");

}

// {(a + b*x^(1/3))^2/x^2, x, 1, -((a + b*x^(1/3))^3/(a*x))}
public void test01018() {
	check("Integrate[(a + b*x^(1/3))^2/x^2, x]", "-((a + b*x^(1/3))^3/(a*x))");

}

// {(a + b*x^(1/3))^5/x^3, x, 1, -(a + b*x^(1/3))^6/(2*a*x^2)}
public void test01019() {
	check("Integrate[(a + b*x^(1/3))^5/x^3, x]", "-(a + b*x^(1/3))^6/(2*a*x^2)");

}

// {1/((1 + x^(2/3))*x^(1/3)), x, 1, (3*Log[1 + x^(2/3)])/2}
public void test01020() {
	check("Integrate[1/((1 + x^(2/3))*x^(1/3)), x]", "(3*Log[1 + x^(2/3)])/2");

}

// {Sqrt[-1 + x^(2/3)]/x^(1/3), x, 1, (-1 + x^(2/3))^(3/2)}
public void test01021() {
	check("Integrate[Sqrt[-1 + x^(2/3)]/x^(1/3), x]", "(-1 + x^(2/3))^(3/2)");

}

// {(1 + x^(2/3))^(3/2)/x^(1/3), x, 1, (3*(1 + x^(2/3))^(5/2))/5}
public void test01022() {
	check("Integrate[(1 + x^(2/3))^(3/2)/x^(1/3), x]", "(3*(1 + x^(2/3))^(5/2))/5");

}

// {a + b/x^(1/3), x, 1, (3*b*x^(2/3))/2 + a*x}
public void test01023() {
	check("Integrate[a + b/x^(1/3), x]", "(3*b*x^(2/3))/2 + a*x");

}

// {x^(2/3)*(1 + x^(5/3))^(2/3), x, 1, (9*(1 + x^(5/3))^(5/3))/25}
public void test01024() {
	check("Integrate[x^(2/3)*(1 + x^(5/3))^(2/3), x]", "(9*(1 + x^(5/3))^(5/3))/25");

}

// {x^(7/3)*(a^(10/3) - x^(10/3))^(19/7), x, 1, (-21*(a^(10/3) - x^(10/3))^(26/7))/260}
public void test01025() {
	check("Integrate[x^(7/3)*(a^(10/3) - x^(10/3))^(19/7), x]", "(-21*(a^(10/3) - x^(10/3))^(26/7))/260");

}

// {1/(Sqrt[1 + x^(4/5)]*x^(1/5)), x, 1, (5*Sqrt[1 + x^(4/5)])/2}
public void test01026() {
	check("Integrate[1/(Sqrt[1 + x^(4/5)]*x^(1/5)), x]", "(5*Sqrt[1 + x^(4/5)])/2");

}

// {(a + b/x^(3/5))^(2/3), x, 1, ((a + b/x^(3/5))^(5/3)*x)/a}
public void test01027() {
	check("Integrate[(a + b/x^(3/5))^(2/3), x]", "((a + b/x^(3/5))^(5/3)*x)/a");

}

// {a + b*x^n, x, 1, a*x + (b*x^(1 + n))/(1 + n)}
public void test01028() {
	check("Integrate[a + b*x^n, x]", "a*x + (b*x^(1 + n))/(1 + n)");

}

// {x/(a + b*x^n), x, 1, (x^2*Hypergeometric2F1[1, 2/n, (2 + n)/n, -((b*x^n)/a)])/(2*a)}
public void test01029() {
	check("Integrate[x/(a + b*x^n), x]", "(x^2*Hypergeometric2F1[1, 2/n, (2 + n)/n, -((b*x^n)/a)])/(2*a)");

}

// {(a + b*x^n)^(-1), x, 1, (x*Hypergeometric2F1[1, n^(-1), 1 + n^(-1), -((b*x^n)/a)])/a}
public void test01030() {
	check("Integrate[(a + b*x^n)^(-1), x]", "(x*Hypergeometric2F1[1, n^(-1), 1 + n^(-1), -((b*x^n)/a)])/a");

}

// {1/(x^2*(a + b*x^n)), x, 1, -(Hypergeometric2F1[1, -n^(-1), -((1 - n)/n), -((b*x^n)/a)]/(a*x))}
public void test01031() {
	check("Integrate[1/(x^2*(a + b*x^n)), x]", "-(Hypergeometric2F1[1, -n^(-1), -((1 - n)/n), -((b*x^n)/a)]/(a*x))");

}

// {1/(x^3*(a + b*x^n)), x, 1, -Hypergeometric2F1[1, -2/n, -((2 - n)/n), -((b*x^n)/a)]/(2*a*x^2)}
public void test01032() {
	check("Integrate[1/(x^3*(a + b*x^n)), x]", "-Hypergeometric2F1[1, -2/n, -((2 - n)/n), -((b*x^n)/a)]/(2*a*x^2)");

}

// {x/(a + b*x^n)^2, x, 1, (x^2*Hypergeometric2F1[2, 2/n, (2 + n)/n, -((b*x^n)/a)])/(2*a^2)}
public void test01033() {
	check("Integrate[x/(a + b*x^n)^2, x]", "(x^2*Hypergeometric2F1[2, 2/n, (2 + n)/n, -((b*x^n)/a)])/(2*a^2)");

}

// {(a + b*x^n)^(-2), x, 1, (x*Hypergeometric2F1[2, n^(-1), 1 + n^(-1), -((b*x^n)/a)])/a^2}
public void test01034() {
	check("Integrate[(a + b*x^n)^(-2), x]", "(x*Hypergeometric2F1[2, n^(-1), 1 + n^(-1), -((b*x^n)/a)])/a^2");

}

// {1/(x^2*(a + b*x^n)^2), x, 1, -(Hypergeometric2F1[2, -n^(-1), -((1 - n)/n), -((b*x^n)/a)]/(a^2*x))}
public void test01035() {
	check("Integrate[1/(x^2*(a + b*x^n)^2), x]", "-(Hypergeometric2F1[2, -n^(-1), -((1 - n)/n), -((b*x^n)/a)]/(a^2*x))");

}

// {1/(x^3*(a + b*x^n)^2), x, 1, -Hypergeometric2F1[2, -2/n, -((2 - n)/n), -((b*x^n)/a)]/(2*a^2*x^2)}
public void test01036() {
	check("Integrate[1/(x^3*(a + b*x^n)^2), x]", "-Hypergeometric2F1[2, -2/n, -((2 - n)/n), -((b*x^n)/a)]/(2*a^2*x^2)");

}

// {x/(a + b*x^n)^3, x, 1, (x^2*Hypergeometric2F1[3, 2/n, (2 + n)/n, -((b*x^n)/a)])/(2*a^3)}
public void test01037() {
	check("Integrate[x/(a + b*x^n)^3, x]", "(x^2*Hypergeometric2F1[3, 2/n, (2 + n)/n, -((b*x^n)/a)])/(2*a^3)");

}

// {(a + b*x^n)^(-3), x, 1, (x*Hypergeometric2F1[3, n^(-1), 1 + n^(-1), -((b*x^n)/a)])/a^3}
public void test01038() {
	check("Integrate[(a + b*x^n)^(-3), x]", "(x*Hypergeometric2F1[3, n^(-1), 1 + n^(-1), -((b*x^n)/a)])/a^3");

}

// {1/(x^2*(a + b*x^n)^3), x, 1, -(Hypergeometric2F1[3, -n^(-1), -((1 - n)/n), -((b*x^n)/a)]/(a^3*x))}
public void test01039() {
	check("Integrate[1/(x^2*(a + b*x^n)^3), x]", "-(Hypergeometric2F1[3, -n^(-1), -((1 - n)/n), -((b*x^n)/a)]/(a^3*x))");

}

// {1/(x^3*(a + b*x^n)^3), x, 1, -Hypergeometric2F1[3, -2/n, -((2 - n)/n), -((b*x^n)/a)]/(2*a^3*x^2)}
public void test01040() {
	check("Integrate[1/(x^3*(a + b*x^n)^3), x]", "-Hypergeometric2F1[3, -2/n, -((2 - n)/n), -((b*x^n)/a)]/(2*a^3*x^2)");

}

// {x^(-1 + n)*(a + b*x^n)^2, x, 1, (a + b*x^n)^3/(3*b*n)}
public void test01041() {
	check("Integrate[x^(-1 + n)*(a + b*x^n)^2, x]", "(a + b*x^n)^3/(3*b*n)");

}

// {x^(-1 - 3*n)*(a + b*x^n)^2, x, 1, -(a + b*x^n)^3/(3*a*n*x^(3*n))}
public void test01042() {
	check("Integrate[x^(-1 - 3*n)*(a + b*x^n)^2, x]", "-(a + b*x^n)^3/(3*a*n*x^(3*n))");

}

// {x^(-1 + n)*(a + b*x^n)^3, x, 1, (a + b*x^n)^4/(4*b*n)}
public void test01043() {
	check("Integrate[x^(-1 + n)*(a + b*x^n)^3, x]", "(a + b*x^n)^4/(4*b*n)");

}

// {x^(-1 - 4*n)*(a + b*x^n)^3, x, 1, -(a + b*x^n)^4/(4*a*n*x^(4*n))}
public void test01044() {
	check("Integrate[x^(-1 - 4*n)*(a + b*x^n)^3, x]", "-(a + b*x^n)^4/(4*a*n*x^(4*n))");

}

// {x^(-1 + n)*(a + b*x^n)^5, x, 1, (a + b*x^n)^6/(6*b*n)}
public void test01045() {
	check("Integrate[x^(-1 + n)*(a + b*x^n)^5, x]", "(a + b*x^n)^6/(6*b*n)");

}

// {x^(-1 - 6*n)*(a + b*x^n)^5, x, 1, -(a + b*x^n)^6/(6*a*n*x^(6*n))}
public void test01046() {
	check("Integrate[x^(-1 - 6*n)*(a + b*x^n)^5, x]", "-(a + b*x^n)^6/(6*a*n*x^(6*n))");

}

// {x^(-1 + n)*(a + b*x^n)^8, x, 1, (a + b*x^n)^9/(9*b*n)}
public void test01047() {
	check("Integrate[x^(-1 + n)*(a + b*x^n)^8, x]", "(a + b*x^n)^9/(9*b*n)");

}

// {x^(-1 - 9*n)*(a + b*x^n)^8, x, 1, -(a + b*x^n)^9/(9*a*n*x^(9*n))}
public void test01048() {
	check("Integrate[x^(-1 - 9*n)*(a + b*x^n)^8, x]", "-(a + b*x^n)^9/(9*a*n*x^(9*n))");

}

// {x^(-1 + n)*(a + b*x^n)^16, x, 1, (a + b*x^n)^17/(17*b*n)}
public void test01049() {
	check("Integrate[x^(-1 + n)*(a + b*x^n)^16, x]", "(a + b*x^n)^17/(17*b*n)");

}

// {x^12*(a + b*x^13)^12, x, 1, (a + b*x^13)^13/(169*b)}
public void test01050() {
	check("Integrate[x^12*(a + b*x^13)^12, x]", "(a + b*x^13)^13/(169*b)");

}

// {x^24*(a + b*x^25)^12, x, 1, (a + b*x^25)^13/(325*b)}
public void test01051() {
	check("Integrate[x^24*(a + b*x^25)^12, x]", "(a + b*x^25)^13/(325*b)");

}

// {x^36*(a + b*x^37)^12, x, 1, (a + b*x^37)^13/(481*b)}
public void test01052() {
	check("Integrate[x^36*(a + b*x^37)^12, x]", "(a + b*x^37)^13/(481*b)");

}

// {x^(12*m)*(a + b*x^(1 + 12*m))^12, x, 1, (a + b*x^(1 + 12*m))^13/(13*b*(1 + 12*m))}
public void test01053() {
	check("Integrate[x^(12*m)*(a + b*x^(1 + 12*m))^12, x]", "(a + b*x^(1 + 12*m))^13/(13*b*(1 + 12*m))");

}

// {x^(12 + 12*(-1 + m))*(a + b*x^(1 + 12*m))^12, x, 1, (a + b*x^(1 + 12*m))^13/(13*b*(1 + 12*m))}
public void test01054() {
	check("Integrate[x^(12 + 12*(-1 + m))*(a + b*x^(1 + 12*m))^12, x]", "(a + b*x^(1 + 12*m))^13/(13*b*(1 + 12*m))");

}

// {x^(-1 + n)/(a + b*x^n), x, 1, Log[a + b*x^n]/(b*n)}
public void test01055() {
	check("Integrate[x^(-1 + n)/(a + b*x^n), x]", "Log[a + b*x^n]/(b*n)");

}

// {x^(-1 + n)/(a + b*x^n), x, 1, Log[a + b*x^n]/(b*n)}
public void test01056() {
	check("Integrate[x^(-1 + n)/(a + b*x^n), x]", "Log[a + b*x^n]/(b*n)");

}

// {x^(-1 + n)/(2 + b*x^n), x, 1, Log[2 + b*x^n]/(b*n)}
public void test01057() {
	check("Integrate[x^(-1 + n)/(2 + b*x^n), x]", "Log[2 + b*x^n]/(b*n)");

}

// {x^(-1 + n)/(a + b*x^n)^2, x, 1, -(1/(b*n*(a + b*x^n)))}
public void test01058() {
	check("Integrate[x^(-1 + n)/(a + b*x^n)^2, x]", "-(1/(b*n*(a + b*x^n)))");

}

// {x^(-1 + 2*n)/(a + b*x^n)^3, x, 1, x^(2*n)/(2*a*n*(a + b*x^n)^2)}
public void test01059() {
	check("Integrate[x^(-1 + 2*n)/(a + b*x^n)^3, x]", "x^(2*n)/(2*a*n*(a + b*x^n)^2)");

}

// {x^(-1 + n)/(a + b*x^n)^3, x, 1, -1/(2*b*n*(a + b*x^n)^2)}
public void test01060() {
	check("Integrate[x^(-1 + n)/(a + b*x^n)^3, x]", "-1/(2*b*n*(a + b*x^n)^2)");

}

// {x^(-1 + n)*Sqrt[a + b*x^n], x, 1, (2*(a + b*x^n)^(3/2))/(3*b*n)}
public void test01061() {
	check("Integrate[x^(-1 + n)*Sqrt[a + b*x^n], x]", "(2*(a + b*x^n)^(3/2))/(3*b*n)");

}

// {x^(-1 + n)/Sqrt[a + b*x^n], x, 1, (2*Sqrt[a + b*x^n])/(b*n)}
public void test01062() {
	check("Integrate[x^(-1 + n)/Sqrt[a + b*x^n], x]", "(2*Sqrt[a + b*x^n])/(b*n)");

}

// {x^m/(a + b*x^n), x, 1, (x^(1 + m)*Hypergeometric2F1[1, (1 + m)/n, (1 + m + n)/n, -((b*x^n)/a)])/(a*(1 + m))}
public void test01063() {
	check("Integrate[x^m/(a + b*x^n), x]", "(x^(1 + m)*Hypergeometric2F1[1, (1 + m)/n, (1 + m + n)/n, -((b*x^n)/a)])/(a*(1 + m))");

}

// {x^m/(a + b*x^n)^2, x, 1, (x^(1 + m)*Hypergeometric2F1[2, (1 + m)/n, (1 + m + n)/n, -((b*x^n)/a)])/(a^2*(1 + m))}
public void test01064() {
	check("Integrate[x^m/(a + b*x^n)^2, x]", "(x^(1 + m)*Hypergeometric2F1[2, (1 + m)/n, (1 + m + n)/n, -((b*x^n)/a)])/(a^2*(1 + m))");

}

// {x^m/(a + b*x^n)^3, x, 1, (x^(1 + m)*Hypergeometric2F1[3, (1 + m)/n, (1 + m + n)/n, -((b*x^n)/a)])/(a^3*(1 + m))}
public void test01065() {
	check("Integrate[x^m/(a + b*x^n)^3, x]", "(x^(1 + m)*Hypergeometric2F1[3, (1 + m)/n, (1 + m + n)/n, -((b*x^n)/a)])/(a^3*(1 + m))");

}

// {x^(-1 - n/2)/Sqrt[a + b*x^n], x, 1, (-2*Sqrt[a + b*x^n])/(a*n*x^(n/2))}
public void test01066() {
	check("Integrate[x^(-1 - n/2)/Sqrt[a + b*x^n], x]", "(-2*Sqrt[a + b*x^n])/(a*n*x^(n/2))");

}

// {(a + b*x^n)^(-1 - n^(-1)), x, 1, x/(a*(a + b*x^n)^n^(-1))}
public void test01067() {
	check("Integrate[(a + b*x^n)^(-1 - n^(-1)), x]", "x/(a*(a + b*x^n)^n^(-1))");

}

// {x^(-1 + n)*(a + b*x^n)^p, x, 1, (a + b*x^n)^(1 + p)/(b*n*(1 + p))}
public void test01068() {
	check("Integrate[x^(-1 + n)*(a + b*x^n)^p, x]", "(a + b*x^n)^(1 + p)/(b*n*(1 + p))");

}

// {x^(-1 - n - n*p)*(a + b*x^n)^p, x, 1, -((a + b*x^n)^(1 + p)/(a*n*(1 + p)*x^(n*(1 + p))))}
public void test01069() {
	check("Integrate[x^(-1 - n - n*p)*(a + b*x^n)^p, x]", "-((a + b*x^n)^(1 + p)/(a*n*(1 + p)*x^(n*(1 + p))))");

}

// {x^(-1 - 9*n)*(a + b*x^n)^8, x, 1, -(a + b*x^n)^9/(9*a*n*x^(9*n))}
public void test01070() {
	check("Integrate[x^(-1 - 9*n)*(a + b*x^n)^8, x]", "-(a + b*x^n)^9/(9*a*n*x^(9*n))");

}

// {x^(-4 - 3*p)*(a + b*x^3)^p, x, 1, -(a + b*x^3)^(1 + p)/(3*a*(1 + p)*x^(3*(1 + p)))}
public void test01071() {
	check("Integrate[x^(-4 - 3*p)*(a + b*x^3)^p, x]", "-(a + b*x^3)^(1 + p)/(3*a*(1 + p)*x^(3*(1 + p)))");

}

// {(a + b*x^3)^8/x^28, x, 1, -(a + b*x^3)^9/(27*a*x^27)}
public void test01072() {
	check("Integrate[(a + b*x^3)^8/x^28, x]", "-(a + b*x^3)^9/(27*a*x^27)");

}

// {(a + b*x^n)^(-((1 + n)/n)), x, 1, x/(a*(a + b*x^n)^n^(-1))}
public void test01073() {
	check("Integrate[(a + b*x^n)^(-((1 + n)/n)), x]", "x/(a*(a + b*x^n)^n^(-1))");

}

// {x^m/(a + b*x^(1 + m)), x, 1, Log[a + b*x^(1 + m)]/(b*(1 + m))}
public void test01074() {
	check("Integrate[x^m/(a + b*x^(1 + m)), x]", "Log[a + b*x^(1 + m)]/(b*(1 + m))");

}

// {x^m*(a + b*x^(1 + m))^n, x, 1, (a + b*x^(1 + m))^(1 + n)/(b*(1 + m)*(1 + n))}
public void test01075() {
	check("Integrate[x^m*(a + b*x^(1 + m))^n, x]", "(a + b*x^(1 + m))^(1 + n)/(b*(1 + m)*(1 + n))");

}

// {x^m/(a + b*x^(2 + 2*m))^(3/2), x, 1, x^(1 + m)/(a*(1 + m)*Sqrt[a + b*x^(2*(1 + m))])}
public void test01076() {
	check("Integrate[x^m/(a + b*x^(2 + 2*m))^(3/2), x]", "x^(1 + m)/(a*(1 + m)*Sqrt[a + b*x^(2*(1 + m))])");

}

// {x^n*Sqrt[1 + x^(1 + n)], x, 1, (2*(1 + x^(1 + n))^(3/2))/(3*(1 + n))}
public void test01077() {
	check("Integrate[x^n*Sqrt[1 + x^(1 + n)], x]", "(2*(1 + x^(1 + n))^(3/2))/(3*(1 + n))");

}

// {x^n*Sqrt[a^2 + x^(1 + n)], x, 1, (2*(a^2 + x^(1 + n))^(3/2))/(3*(1 + n))}
public void test01078() {
	check("Integrate[x^n*Sqrt[a^2 + x^(1 + n)], x]", "(2*(a^2 + x^(1 + n))^(3/2))/(3*(1 + n))");

}

// {(c*x)^(4 + n)/(a + b*x^n), x, 1, ((c*x)^(5 + n)*Hypergeometric2F1[1, (5 + n)/n, 2 + 5/n, -((b*x^n)/a)])/(a*c*(5 + n))}
public void test01079() {
	check("Integrate[(c*x)^(4 + n)/(a + b*x^n), x]", "((c*x)^(5 + n)*Hypergeometric2F1[1, (5 + n)/n, 2 + 5/n, -((b*x^n)/a)])/(a*c*(5 + n))");

}

// {(c*x)^(3 + n)/(a + b*x^n), x, 1, ((c*x)^(4 + n)*Hypergeometric2F1[1, (4 + n)/n, 2*(1 + 2/n), -((b*x^n)/a)])/(a*c*(4 + n))}
public void test01080() {
	check("Integrate[(c*x)^(3 + n)/(a + b*x^n), x]", "((c*x)^(4 + n)*Hypergeometric2F1[1, (4 + n)/n, 2*(1 + 2/n), -((b*x^n)/a)])/(a*c*(4 + n))");

}

// {(c*x)^(2 + n)/(a + b*x^n), x, 1, ((c*x)^(3 + n)*Hypergeometric2F1[1, (3 + n)/n, 2 + 3/n, -((b*x^n)/a)])/(a*c*(3 + n))}
public void test01081() {
	check("Integrate[(c*x)^(2 + n)/(a + b*x^n), x]", "((c*x)^(3 + n)*Hypergeometric2F1[1, (3 + n)/n, 2 + 3/n, -((b*x^n)/a)])/(a*c*(3 + n))");

}

// {(c*x)^(1 + n)/(a + b*x^n), x, 1, ((c*x)^(2 + n)*Hypergeometric2F1[1, (2 + n)/n, 2*(1 + n^(-1)), -((b*x^n)/a)])/(a*c*(2 + n))}
public void test01082() {
	check("Integrate[(c*x)^(1 + n)/(a + b*x^n), x]", "((c*x)^(2 + n)*Hypergeometric2F1[1, (2 + n)/n, 2*(1 + n^(-1)), -((b*x^n)/a)])/(a*c*(2 + n))");

}

// {(c*x)^n/(a + b*x^n), x, 1, ((c*x)^(1 + n)*Hypergeometric2F1[1, 1 + n^(-1), 2 + n^(-1), -((b*x^n)/a)])/(a*c*(1 + n))}
public void test01083() {
	check("Integrate[(c*x)^n/(a + b*x^n), x]", "((c*x)^(1 + n)*Hypergeometric2F1[1, 1 + n^(-1), 2 + n^(-1), -((b*x^n)/a)])/(a*c*(1 + n))");

}

// {(c*x)^(-2 + n)/(a + b*x^n), x, 1, -(((c*x)^(-1 + n)*Hypergeometric2F1[1, -((1 - n)/n), 2 - n^(-1), -((b*x^n)/a)])/(a*c*(1 - n)))}
public void test01084() {
	check("Integrate[(c*x)^(-2 + n)/(a + b*x^n), x]", "-(((c*x)^(-1 + n)*Hypergeometric2F1[1, -((1 - n)/n), 2 - n^(-1), -((b*x^n)/a)])/(a*c*(1 - n)))");

}

// {(c*x)^(-3 + n)/(a + b*x^n), x, 1, -(((c*x)^(-2 + n)*Hypergeometric2F1[1, -((2 - n)/n), 2*(1 - n^(-1)), -((b*x^n)/a)])/(a*c*(2 - n)))}
public void test01085() {
	check("Integrate[(c*x)^(-3 + n)/(a + b*x^n), x]", "-(((c*x)^(-2 + n)*Hypergeometric2F1[1, -((2 - n)/n), 2*(1 - n^(-1)), -((b*x^n)/a)])/(a*c*(2 - n)))");

}

// {(c*x)^(-1 + n)/(a + b*x^n)^2, x, 1, (c*x)^n/(a*c*n*(a + b*x^n))}
public void test01086() {
	check("Integrate[(c*x)^(-1 + n)/(a + b*x^n)^2, x]", "(c*x)^n/(a*c*n*(a + b*x^n))");

}

// {(c*x)^(-1 - n/2)/Sqrt[a + b*x^n], x, 1, (-2*Sqrt[a + b*x^n])/(a*c*n*(c*x)^(n/2))}
public void test01087() {
	check("Integrate[(c*x)^(-1 - n/2)/Sqrt[a + b*x^n], x]", "(-2*Sqrt[a + b*x^n])/(a*c*n*(c*x)^(n/2))");

}

// {(c*x)^(-1 - n - n*p)*(a + b*x^n)^p, x, 1, -((a + b*x^n)^(1 + p)/(a*c*n*(1 + p)*(c*x)^(n*(1 + p))))}
public void test01088() {
	check("Integrate[(c*x)^(-1 - n - n*p)*(a + b*x^n)^p, x]", "-((a + b*x^n)^(1 + p)/(a*c*n*(1 + p)*(c*x)^(n*(1 + p))))");

}

// {(2 + x)/(1 + (2 + x)^2), x, 1, Log[1 + (2 + x)^2]/2}
public void test01089() {
	check("Integrate[(2 + x)/(1 + (2 + x)^2), x]", "Log[1 + (2 + x)^2]/2");

}

// {(2 + x)/(1 + (2 + x)^2)^2, x, 1, -1/(2*(1 + (2 + x)^2))}
public void test01090() {
	check("Integrate[(2 + x)/(1 + (2 + x)^2)^2, x]", "-1/(2*(1 + (2 + x)^2))");

}

// {(2 + x)/(1 + (2 + x)^2)^3, x, 1, -1/(4*(1 + (2 + x)^2)^2)}
public void test01091() {
	check("Integrate[(2 + x)/(1 + (2 + x)^2)^3, x]", "-1/(4*(1 + (2 + x)^2)^2)");

}

// {(c + d*x)*(a + b*(c + d*x)^2)^p, x, 1, (a + b*(c + d*x)^2)^(1 + p)/(2*b*d*(1 + p))}
public void test01092() {
	check("Integrate[(c + d*x)*(a + b*(c + d*x)^2)^p, x]", "(a + b*(c + d*x)^2)^(1 + p)/(2*b*d*(1 + p))");

}

// {(c + d*x)^2/(a + b*(c + d*x)^3), x, 1, Log[a + b*(c + d*x)^3]/(3*b*d)}
public void test01093() {
	check("Integrate[(c + d*x)^2/(a + b*(c + d*x)^3), x]", "Log[a + b*(c + d*x)^3]/(3*b*d)");

}

// {(c + d*x)^2/(a + b*(c + d*x)^3)^2, x, 1, -1/(3*b*d*(a + b*(c + d*x)^3))}
public void test01094() {
	check("Integrate[(c + d*x)^2/(a + b*(c + d*x)^3)^2, x]", "-1/(3*b*d*(a + b*(c + d*x)^3))");

}

// {(c + d*x)^2/(a + b*(c + d*x)^3)^3, x, 1, -1/(6*b*d*(a + b*(c + d*x)^3)^2)}
public void test01095() {
	check("Integrate[(c + d*x)^2/(a + b*(c + d*x)^3)^3, x]", "-1/(6*b*d*(a + b*(c + d*x)^3)^2)");

}

// {(c*e + d*e*x)^2/(a + b*(c + d*x)^3), x, 1, (e^2*Log[a + b*(c + d*x)^3])/(3*b*d)}
public void test01096() {
	check("Integrate[(c*e + d*e*x)^2/(a + b*(c + d*x)^3), x]", "(e^2*Log[a + b*(c + d*x)^3])/(3*b*d)");

}

// {(c*e + d*e*x)^2/(a + b*(c + d*x)^3)^2, x, 1, -e^2/(3*b*d*(a + b*(c + d*x)^3))}
public void test01097() {
	check("Integrate[(c*e + d*e*x)^2/(a + b*(c + d*x)^3)^2, x]", "-e^2/(3*b*d*(a + b*(c + d*x)^3))");

}

// {(c*e + d*e*x)^2/(a + b*(c + d*x)^3)^3, x, 1, -e^2/(6*b*d*(a + b*(c + d*x)^3)^2)}
public void test01098() {
	check("Integrate[(c*e + d*e*x)^2/(a + b*(c + d*x)^3)^3, x]", "-e^2/(6*b*d*(a + b*(c + d*x)^3)^2)");

}

// {(c + d*x)^3*(a + b*(c + d*x)^4)^p, x, 1, (a + b*(c + d*x)^4)^(1 + p)/(4*b*d*(1 + p))}
public void test01099() {
	check("Integrate[(c + d*x)^3*(a + b*(c + d*x)^4)^p, x]", "(a + b*(c + d*x)^4)^(1 + p)/(4*b*d*(1 + p))");

}

// {(c + d*x)^3*(a + b*(c + d*x)^4), x, 1, (a + b*(c + d*x)^4)^2/(8*b*d)}
public void test01100() {
	check("Integrate[(c + d*x)^3*(a + b*(c + d*x)^4), x]", "(a + b*(c + d*x)^4)^2/(8*b*d)");

}

// {(c + d*x)^3*(a + b*(c + d*x)^4)^2, x, 1, (a + b*(c + d*x)^4)^3/(12*b*d)}
public void test01101() {
	check("Integrate[(c + d*x)^3*(a + b*(c + d*x)^4)^2, x]", "(a + b*(c + d*x)^4)^3/(12*b*d)");

}

// {(c + d*x)^3*(a + b*(c + d*x)^4)^3, x, 1, (a + b*(c + d*x)^4)^4/(16*b*d)}
public void test01102() {
	check("Integrate[(c + d*x)^3*(a + b*(c + d*x)^4)^3, x]", "(a + b*(c + d*x)^4)^4/(16*b*d)");

}

// {(c + d*x)^3/(a + b*(c + d*x)^4), x, 1, Log[a + b*(c + d*x)^4]/(4*b*d)}
public void test01103() {
	check("Integrate[(c + d*x)^3/(a + b*(c + d*x)^4), x]", "Log[a + b*(c + d*x)^4]/(4*b*d)");

}

// {(c + d*x)^3/(a + b*(c + d*x)^4)^2, x, 1, -1/(4*b*d*(a + b*(c + d*x)^4))}
public void test01104() {
	check("Integrate[(c + d*x)^3/(a + b*(c + d*x)^4)^2, x]", "-1/(4*b*d*(a + b*(c + d*x)^4))");

}

// {(c + d*x)^3/(a + b*(c + d*x)^4)^3, x, 1, -1/(8*b*d*(a + b*(c + d*x)^4)^2)}
public void test01105() {
	check("Integrate[(c + d*x)^3/(a + b*(c + d*x)^4)^3, x]", "-1/(8*b*d*(a + b*(c + d*x)^4)^2)");

}

// {(c + d*x^3)^(-4/3), x, 1, x/(c*(c + d*x^3)^(1/3))}
public void test01106() {
	check("Integrate[(c + d*x^3)^(-4/3), x]", "x/(c*(c + d*x^3)^(1/3))");

}

// {(a + b*x^3)^(-1 - (b*c)/(3*b*c - 3*a*d))*(c + d*x^3)^(-1 + (a*d)/(3*b*c - 3*a*d)), x, 1, (x*(c + d*x^3)^((a*d)/(3*b*c - 3*a*d)))/(a*c*(a + b*x^3)^((b*c)/(3*b*c - 3*a*d)))}
public void test01107() {
	check("Integrate[(a + b*x^3)^(-1 - (b*c)/(3*b*c - 3*a*d))*(c + d*x^3)^(-1 + (a*d)/(3*b*c - 3*a*d)), x]", "(x*(c + d*x^3)^((a*d)/(3*b*c - 3*a*d)))/(a*c*(a + b*x^3)^((b*c)/(3*b*c - 3*a*d)))");

}

// {Sqrt[a - b*x^4]/(a*c + b*c*x^4), x, 1, ArcTan[(b^(1/4)*x*(Sqrt[a] + Sqrt[b]*x^2))/(a^(1/4)*Sqrt[a - b*x^4])]/(2*a^(1/4)*b^(1/4)*c) + ArcTanh[(b^(1/4)*x*(Sqrt[a] - Sqrt[b]*x^2))/(a^(1/4)*Sqrt[a - b*x^4])]/(2*a^(1/4)*b^(1/4)*c)}
public void test01108() {
	check("Integrate[Sqrt[a - b*x^4]/(a*c + b*c*x^4), x]", "ArcTan[(b^(1/4)*x*(Sqrt[a] + Sqrt[b]*x^2))/(a^(1/4)*Sqrt[a - b*x^4])]/(2*a^(1/4)*b^(1/4)*c) + ArcTanh[(b^(1/4)*x*(Sqrt[a] - Sqrt[b]*x^2))/(a^(1/4)*Sqrt[a - b*x^4])]/(2*a^(1/4)*b^(1/4)*c)");

}

// {(a + b*x^n)^p*(c + d*x^n)^(-1 - n^(-1) - p), x, 1, (x*(a + b*x^n)^p*(c + d*x^n)^(-n^(-1) - p)*Hypergeometric2F1[n^(-1), -p, 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(c*((c*(a + b*x^n))/(a*(c + d*x^n)))^p)}
public void test01109() {
	check("Integrate[(a + b*x^n)^p*(c + d*x^n)^(-1 - n^(-1) - p), x]", "(x*(a + b*x^n)^p*(c + d*x^n)^(-n^(-1) - p)*Hypergeometric2F1[n^(-1), -p, 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(c*((c*(a + b*x^n))/(a*(c + d*x^n)))^p)");

}

// {(c + d*x^n)^(-1 - n^(-1)), x, 1, x/(c*(c + d*x^n)^n^(-1))}
public void test01110() {
	check("Integrate[(c + d*x^n)^(-1 - n^(-1)), x]", "x/(c*(c + d*x^n)^n^(-1))");

}

// {1/((a + b*x^n)*(c + d*x^n)^n^(-1)), x, 1, (x*Hypergeometric2F1[1, n^(-1), 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(a*(c + d*x^n)^n^(-1))}
public void test01111() {
	check("Integrate[1/((a + b*x^n)*(c + d*x^n)^n^(-1)), x]", "(x*Hypergeometric2F1[1, n^(-1), 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(a*(c + d*x^n)^n^(-1))");

}

// {(c + d*x^n)^(1 - n^(-1))/(a + b*x^n)^2, x, 1, (c*x*Hypergeometric2F1[2, n^(-1), 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(a^2*(c + d*x^n)^n^(-1))}
public void test01112() {
	check("Integrate[(c + d*x^n)^(1 - n^(-1))/(a + b*x^n)^2, x]", "(c*x*Hypergeometric2F1[2, n^(-1), 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(a^2*(c + d*x^n)^n^(-1))");

}

// {(c + d*x^n)^(2 - n^(-1))/(a + b*x^n)^3, x, 1, (c^2*x*Hypergeometric2F1[3, n^(-1), 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(a^3*(c + d*x^n)^n^(-1))}
public void test01113() {
	check("Integrate[(c + d*x^n)^(2 - n^(-1))/(a + b*x^n)^3, x]", "(c^2*x*Hypergeometric2F1[3, n^(-1), 1 + n^(-1), -(((b*c - a*d)*x^n)/(a*(c + d*x^n)))])/(a^3*(c + d*x^n)^n^(-1))");

}

// {(a + b*x^n)^((a*d*n - b*c*(1 + n))/((b*c - a*d)*n))*(c + d*x^n)^((a*d - b*c*n + a*d*n)/(b*c*n - a*d*n)), x, 1, (x*(c + d*x^n)^((a*d)/((b*c - a*d)*n)))/(a*c*(a + b*x^n)^((b*c)/((b*c - a*d)*n)))}
public void test01114() {
	check("Integrate[(a + b*x^n)^((a*d*n - b*c*(1 + n))/((b*c - a*d)*n))*(c + d*x^n)^((a*d - b*c*n + a*d*n)/(b*c*n - a*d*n)), x]", "(x*(c + d*x^n)^((a*d)/((b*c - a*d)*n)))/(a*c*(a + b*x^n)^((b*c)/((b*c - a*d)*n)))");

}

// {(c + d*x^2)/(x^((2*b^2*c + a^2*d)/(b^2*c + a^2*d))*Sqrt[-a + b*x]*Sqrt[a + b*x]), x, 1, ((c/a^2 + d/b^2)*Sqrt[-a + b*x]*Sqrt[a + b*x])/x^((b^2*c)/(b^2*c + a^2*d))}
public void test01115() {
	check("Integrate[(c + d*x^2)/(x^((2*b^2*c + a^2*d)/(b^2*c + a^2*d))*Sqrt[-a + b*x]*Sqrt[a + b*x]), x]", "((c/a^2 + d/b^2)*Sqrt[-a + b*x]*Sqrt[a + b*x])/x^((b^2*c)/(b^2*c + a^2*d))");

}

// {x/(Sqrt[c + d*x^3]*(4*c + d*x^3)), x, 1, -ArcTan[(Sqrt[3]*c^(1/6)*(c^(1/3) + 2^(1/3)*d^(1/3)*x))/Sqrt[c + d*x^3]]/(3*2^(2/3)*Sqrt[3]*c^(5/6)*d^(2/3)) + ArcTan[Sqrt[c + d*x^3]/(Sqrt[3]*Sqrt[c])]/(3*2^(2/3)*Sqrt[3]*c^(5/6)*d^(2/3)) - ArcTanh[(c^(1/6)*(c^(1/3) - 2^(1/3)*d^(1/3)*x))/Sqrt[c + d*x^3]]/(3*2^(2/3)*c^(5/6)*d^(2/3)) + ArcTanh[Sqrt[c + d*x^3]/Sqrt[c]]/(9*2^(2/3)*c^(5/6)*d^(2/3))}
public void test01116() {
	check("Integrate[x/(Sqrt[c + d*x^3]*(4*c + d*x^3)), x]", "-ArcTan[(Sqrt[3]*c^(1/6)*(c^(1/3) + 2^(1/3)*d^(1/3)*x))/Sqrt[c + d*x^3]]/(3*2^(2/3)*Sqrt[3]*c^(5/6)*d^(2/3)) + ArcTan[Sqrt[c + d*x^3]/(Sqrt[3]*Sqrt[c])]/(3*2^(2/3)*Sqrt[3]*c^(5/6)*d^(2/3)) - ArcTanh[(c^(1/6)*(c^(1/3) - 2^(1/3)*d^(1/3)*x))/Sqrt[c + d*x^3]]/(3*2^(2/3)*c^(5/6)*d^(2/3)) + ArcTanh[Sqrt[c + d*x^3]/Sqrt[c]]/(9*2^(2/3)*c^(5/6)*d^(2/3))");

}

// {x/(Sqrt[1 - x^3]*(4 - x^3)), x, 1, -ArcTan[(Sqrt[3]*(1 - 2^(1/3)*x))/Sqrt[1 - x^3]]/(3*2^(2/3)*Sqrt[3]) + ArcTan[Sqrt[1 - x^3]/Sqrt[3]]/(3*2^(2/3)*Sqrt[3]) - ArcTanh[(1 + 2^(1/3)*x)/Sqrt[1 - x^3]]/(3*2^(2/3)) + ArcTanh[Sqrt[1 - x^3]]/(9*2^(2/3))}
public void test01117() {
	check("Integrate[x/(Sqrt[1 - x^3]*(4 - x^3)), x]", "-ArcTan[(Sqrt[3]*(1 - 2^(1/3)*x))/Sqrt[1 - x^3]]/(3*2^(2/3)*Sqrt[3]) + ArcTan[Sqrt[1 - x^3]/Sqrt[3]]/(3*2^(2/3)*Sqrt[3]) - ArcTanh[(1 + 2^(1/3)*x)/Sqrt[1 - x^3]]/(3*2^(2/3)) + ArcTanh[Sqrt[1 - x^3]]/(9*2^(2/3))");

}

// {x/(Sqrt[a + b*x^3]*(2*(5 + 3*Sqrt[3])*a + b*x^3)), x, 1, -((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTan[((1 - Sqrt[3])*Sqrt[a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))}
public void test01118() {
	check("Integrate[x/(Sqrt[a + b*x^3]*(2*(5 + 3*Sqrt[3])*a + b*x^3)), x]", "-((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTan[((1 - Sqrt[3])*Sqrt[a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))");

}

// {x/(Sqrt[a - b*x^3]*(2*(5 + 3*Sqrt[3])*a - b*x^3)), x, 1, -((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTan[((1 - Sqrt[3])*Sqrt[a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))}
public void test01119() {
	check("Integrate[x/(Sqrt[a - b*x^3]*(2*(5 + 3*Sqrt[3])*a - b*x^3)), x]", "-((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTan[((1 - Sqrt[3])*Sqrt[a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))");

}

// {x/(Sqrt[-a + b*x^3]*(-2*(5 + 3*Sqrt[3])*a + b*x^3)), x, 1, ((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[((1 - Sqrt[3])*Sqrt[-a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))}
public void test01120() {
	check("Integrate[x/(Sqrt[-a + b*x^3]*(-2*(5 + 3*Sqrt[3])*a + b*x^3)), x]", "((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[((1 - Sqrt[3])*Sqrt[-a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))");

}

// {x/(Sqrt[-a - b*x^3]*(-2*(5 + 3*Sqrt[3])*a - b*x^3)), x, 1, ((2 - Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[((1 - Sqrt[3])*Sqrt[-a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))}
public void test01121() {
	check("Integrate[x/(Sqrt[-a - b*x^3]*(-2*(5 + 3*Sqrt[3])*a - b*x^3)), x]", "((2 - Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 + Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 - Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 - Sqrt[3])*ArcTanh[((1 - Sqrt[3])*Sqrt[-a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))");

}

// {x/(Sqrt[a + b*x^3]*(2*(5 - 3*Sqrt[3])*a + b*x^3)), x, 1, -((2 + Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[((1 + Sqrt[3])*Sqrt[a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))}
public void test01122() {
	check("Integrate[x/(Sqrt[a + b*x^3]*(2*(5 - 3*Sqrt[3])*a + b*x^3)), x]", "-((2 + Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[((1 + Sqrt[3])*Sqrt[a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))");

}

// {x/(Sqrt[a - b*x^3]*(2*(5 - 3*Sqrt[3])*a - b*x^3)), x, 1, -((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[((1 + Sqrt[3])*Sqrt[a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))}
public void test01123() {
	check("Integrate[x/(Sqrt[a - b*x^3]*(2*(5 - 3*Sqrt[3])*a - b*x^3)), x]", "-((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) + ((2 + Sqrt[3])*ArcTanh[((1 + Sqrt[3])*Sqrt[a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3))");

}

// {x/((2*(5 - 3*Sqrt[3])*a - b*x^3)*Sqrt[-a + b*x^3]), x, 1, ((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[((1 + Sqrt[3])*Sqrt[-a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))}
public void test01124() {
	check("Integrate[x/((2*(5 - 3*Sqrt[3])*a - b*x^3)*Sqrt[-a + b*x^3]), x]", "((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[((1 + Sqrt[3])*Sqrt[-a + b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) - b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) + 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a + b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))");

}

// {x/(Sqrt[-a - b*x^3]*(2*(5 - 3*Sqrt[3])*a + b*x^3)), x, 1, ((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[((1 + Sqrt[3])*Sqrt[-a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))}
public void test01125() {
	check("Integrate[x/(Sqrt[-a - b*x^3]*(2*(5 - 3*Sqrt[3])*a + b*x^3)), x]", "((2 + Sqrt[3])*ArcTan[(3^(1/4)*(1 - Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(2*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTan[((1 + Sqrt[3])*Sqrt[-a - b*x^3])/(Sqrt[2]*3^(3/4)*Sqrt[a])])/(3*Sqrt[2]*3^(3/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*a^(1/6)*((1 - Sqrt[3])*a^(1/3) - 2*b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(3*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3)) - ((2 + Sqrt[3])*ArcTanh[(3^(1/4)*(1 + Sqrt[3])*a^(1/6)*(a^(1/3) + b^(1/3)*x))/(Sqrt[2]*Sqrt[-a - b*x^3])])/(6*Sqrt[2]*3^(1/4)*a^(5/6)*b^(2/3))");

}

// {x^4/((1 - x^3)^(1/3)*(1 + x^3)), x, 1, (x^5*AppellF1[5/3, 1/3, 1, 8/3, x^3, -x^3])/5}
public void test01126() {
	check("Integrate[x^4/((1 - x^3)^(1/3)*(1 + x^3)), x]", "(x^5*AppellF1[5/3, 1/3, 1, 8/3, x^3, -x^3])/5");

}

// {x/((1 - x^3)^(1/3)*(1 + x^3)), x, 1, (x^2*AppellF1[2/3, 1/3, 1, 5/3, x^3, -x^3])/2}
public void test01127() {
	check("Integrate[x/((1 - x^3)^(1/3)*(1 + x^3)), x]", "(x^2*AppellF1[2/3, 1/3, 1, 5/3, x^3, -x^3])/2");

}

// {1/(x^2*(1 - x^3)^(1/3)*(1 + x^3)), x, 1, -(AppellF1[-1/3, 1/3, 1, 2/3, x^3, -x^3]/x)}
public void test01128() {
	check("Integrate[1/(x^2*(1 - x^3)^(1/3)*(1 + x^3)), x]", "-(AppellF1[-1/3, 1/3, 1, 2/3, x^3, -x^3]/x)");

}

// {1/(x^5*(1 - x^3)^(1/3)*(1 + x^3)), x, 1, -AppellF1[-4/3, 1/3, 1, -1/3, x^3, -x^3]/(4*x^4)}
public void test01129() {
	check("Integrate[1/(x^5*(1 - x^3)^(1/3)*(1 + x^3)), x]", "-AppellF1[-4/3, 1/3, 1, -1/3, x^3, -x^3]/(4*x^4)");

}

// {x^6/((1 - x^3)^(2/3)*(1 + x^3)), x, 1, (x^7*AppellF1[7/3, 2/3, 1, 10/3, x^3, -x^3])/7}
public void test01130() {
	check("Integrate[x^6/((1 - x^3)^(2/3)*(1 + x^3)), x]", "(x^7*AppellF1[7/3, 2/3, 1, 10/3, x^3, -x^3])/7");

}

// {x^3/((1 - x^3)^(2/3)*(1 + x^3)), x, 1, (x^4*AppellF1[4/3, 2/3, 1, 7/3, x^3, -x^3])/4}
public void test01131() {
	check("Integrate[x^3/((1 - x^3)^(2/3)*(1 + x^3)), x]", "(x^4*AppellF1[4/3, 2/3, 1, 7/3, x^3, -x^3])/4");

}

// {1/((1 - x^3)^(2/3)*(1 + x^3)), x, 1, x*AppellF1[1/3, 2/3, 1, 4/3, x^3, -x^3]}
public void test01132() {
	check("Integrate[1/((1 - x^3)^(2/3)*(1 + x^3)), x]", "x*AppellF1[1/3, 2/3, 1, 4/3, x^3, -x^3]");

}

// {1/(x^3*(1 - x^3)^(2/3)*(1 + x^3)), x, 1, -AppellF1[-2/3, 2/3, 1, 1/3, x^3, -x^3]/(2*x^2)}
public void test01133() {
	check("Integrate[1/(x^3*(1 - x^3)^(2/3)*(1 + x^3)), x]", "-AppellF1[-2/3, 2/3, 1, 1/3, x^3, -x^3]/(2*x^2)");

}

// {(Sqrt[-1 + Sqrt[x]]*Sqrt[1 + Sqrt[x]])/x^(5/2), x, 1, (2*(-1 + Sqrt[x])^(3/2)*(1 + Sqrt[x])^(3/2))/(3*x^(3/2))}
public void test01134() {
	check("Integrate[(Sqrt[-1 + Sqrt[x]]*Sqrt[1 + Sqrt[x]])/x^(5/2), x]", "(2*(-1 + Sqrt[x])^(3/2)*(1 + Sqrt[x])^(3/2))/(3*x^(3/2))");

}

// {1/(Sqrt[-1 + Sqrt[x]]*Sqrt[1 + Sqrt[x]]*x^(3/2)), x, 1, (2*Sqrt[-1 + Sqrt[x]]*Sqrt[1 + Sqrt[x]])/Sqrt[x]}
public void test01135() {
	check("Integrate[1/(Sqrt[-1 + Sqrt[x]]*Sqrt[1 + Sqrt[x]]*x^(3/2)), x]", "(2*Sqrt[-1 + Sqrt[x]]*Sqrt[1 + Sqrt[x]])/Sqrt[x]");

}

// {(e*x)^m*(a + b*x^n)^p*(a*(1 + m) + b*(1 + m + n + n*p)*x^n), x, 1, ((e*x)^(1 + m)*(a + b*x^n)^(1 + p))/e}
public void test01136() {
	check("Integrate[(e*x)^m*(a + b*x^n)^p*(a*(1 + m) + b*(1 + m + n + n*p)*x^n), x]", "((e*x)^(1 + m)*(a + b*x^n)^(1 + p))/e");

}

// {x^13*(b + c*x)^13*(b + 2*c*x), x, 1, (x^14*(b + c*x)^14)/14}
public void test01137() {
	check("Integrate[x^13*(b + c*x)^13*(b + 2*c*x), x]", "(x^14*(b + c*x)^14)/14");

}

// {x^27*(b + c*x^2)^13*(b + 2*c*x^2), x, 1, (x^28*(b + c*x^2)^14)/28}
public void test01138() {
	check("Integrate[x^27*(b + c*x^2)^13*(b + 2*c*x^2), x]", "(x^28*(b + c*x^2)^14)/28");

}

// {x^41*(b + c*x^3)^13*(b + 2*c*x^3), x, 1, (x^42*(b + c*x^3)^14)/42}
public void test01139() {
	check("Integrate[x^41*(b + c*x^3)^13*(b + 2*c*x^3), x]", "(x^42*(b + c*x^3)^14)/42");

}

// {x^(-1 + m)*(a + b*x^n)^(-1 + p)*(a*m + b*(m + n*p)*x^n), x, 1, x^m*(a + b*x^n)^p}
public void test01140() {
	check("Integrate[x^(-1 + m)*(a + b*x^n)^(-1 + p)*(a*m + b*(m + n*p)*x^n), x]", "x^m*(a + b*x^n)^p");

}

// {(b + 2*c*x)/(x^8*(b + c*x)^8), x, 1, -1/(7*x^7*(b + c*x)^7)}
public void test01141() {
	check("Integrate[(b + 2*c*x)/(x^8*(b + c*x)^8), x]", "-1/(7*x^7*(b + c*x)^7)");

}

// {(b + 2*c*x^2)/(x^15*(b + c*x^2)^8), x, 1, -1/(14*x^14*(b + c*x^2)^7)}
public void test01142() {
	check("Integrate[(b + 2*c*x^2)/(x^15*(b + c*x^2)^8), x]", "-1/(14*x^14*(b + c*x^2)^7)");

}

// {(b + 2*c*x^3)/(x^22*(b + c*x^3)^8), x, 1, -1/(21*x^21*(b + c*x^3)^7)}
public void test01143() {
	check("Integrate[(b + 2*c*x^3)/(x^22*(b + c*x^3)^8), x]", "-1/(21*x^21*(b + c*x^3)^7)");

}

// {x^p*(b + c*x)^p*(b + 2*c*x), x, 1, (x^(1 + p)*(b + c*x)^(1 + p))/(1 + p)}
public void test01144() {
	check("Integrate[x^p*(b + c*x)^p*(b + 2*c*x), x]", "(x^(1 + p)*(b + c*x)^(1 + p))/(1 + p)");

}

// {x^(-1 + 2*(1 + p))*(b + c*x^2)^p*(b + 2*c*x^2), x, 1, (x^(2*(1 + p))*(b + c*x^2)^(1 + p))/(2*(1 + p))}
public void test01145() {
	check("Integrate[x^(-1 + 2*(1 + p))*(b + c*x^2)^p*(b + 2*c*x^2), x]", "(x^(2*(1 + p))*(b + c*x^2)^(1 + p))/(2*(1 + p))");

}

// {x^(-1 + 3*(1 + p))*(b + c*x^3)^p*(b + 2*c*x^3), x, 1, (x^(3*(1 + p))*(b + c*x^3)^(1 + p))/(3*(1 + p))}
public void test01146() {
	check("Integrate[x^(-1 + 3*(1 + p))*(b + c*x^3)^p*(b + 2*c*x^3), x]", "(x^(3*(1 + p))*(b + c*x^3)^(1 + p))/(3*(1 + p))");

}

// {x^(-1 + n*(1 + p))*(b + c*x^n)^p*(b + 2*c*x^n), x, 1, (x^(n*(1 + p))*(b + c*x^n)^(1 + p))/(n*(1 + p))}
public void test01147() {
	check("Integrate[x^(-1 + n*(1 + p))*(b + c*x^n)^p*(b + 2*c*x^n), x]", "(x^(n*(1 + p))*(b + c*x^n)^(1 + p))/(n*(1 + p))");

}

// {(1 + Sqrt[3] - x)/Sqrt[-1 + x^3], x, 1, (2*Sqrt[-1 + x^3])/(1 - Sqrt[3] - x) - (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 - Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] - x)/(1 - Sqrt[3] - x)], -7 + 4*Sqrt[3]])/(Sqrt[-((1 - x)/(1 - Sqrt[3] - x)^2)]*Sqrt[-1 + x^3])}
public void test01148() {
	check("Integrate[(1 + Sqrt[3] - x)/Sqrt[-1 + x^3], x]", "(2*Sqrt[-1 + x^3])/(1 - Sqrt[3] - x) - (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 - Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] - x)/(1 - Sqrt[3] - x)], -7 + 4*Sqrt[3]])/(Sqrt[-((1 - x)/(1 - Sqrt[3] - x)^2)]*Sqrt[-1 + x^3])");

}

// {(1 + Sqrt[3] + x)/Sqrt[-1 - x^3], x, 1, (-2*Sqrt[-1 - x^3])/(1 - Sqrt[3] + x) + (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 - Sqrt[3] + x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] + x)/(1 - Sqrt[3] + x)], -7 + 4*Sqrt[3]])/(Sqrt[-((1 + x)/(1 - Sqrt[3] + x)^2)]*Sqrt[-1 - x^3])}
public void test01149() {
	check("Integrate[(1 + Sqrt[3] + x)/Sqrt[-1 - x^3], x]", "(-2*Sqrt[-1 - x^3])/(1 - Sqrt[3] + x) + (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 - Sqrt[3] + x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] + x)/(1 - Sqrt[3] + x)], -7 + 4*Sqrt[3]])/(Sqrt[-((1 + x)/(1 - Sqrt[3] + x)^2)]*Sqrt[-1 - x^3])");

}

// {((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)/Sqrt[-a + b*x^3], x, 1, (2*Sqrt[-a + b*x^3])/(b^(1/3)*((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)) - (3^(1/4)*Sqrt[2 + Sqrt[3]]*a^(1/3)*(a^(1/3) - b^(1/3)*x)*Sqrt[(a^(2/3) + a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)^2]*EllipticE[ArcSin[((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)/((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)], -7 + 4*Sqrt[3]])/(b^(1/3)*Sqrt[-((a^(1/3)*(a^(1/3) - b^(1/3)*x))/((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)^2)]*Sqrt[-a + b*x^3])}
public void test01150() {
	check("Integrate[((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)/Sqrt[-a + b*x^3], x]", "(2*Sqrt[-a + b*x^3])/(b^(1/3)*((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)) - (3^(1/4)*Sqrt[2 + Sqrt[3]]*a^(1/3)*(a^(1/3) - b^(1/3)*x)*Sqrt[(a^(2/3) + a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)^2]*EllipticE[ArcSin[((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)/((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)], -7 + 4*Sqrt[3]])/(b^(1/3)*Sqrt[-((a^(1/3)*(a^(1/3) - b^(1/3)*x))/((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)^2)]*Sqrt[-a + b*x^3])");

}

// {((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)/Sqrt[-a - b*x^3], x, 1, (-2*Sqrt[-a - b*x^3])/(b^(1/3)*((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)) + (3^(1/4)*Sqrt[2 + Sqrt[3]]*a^(1/3)*(a^(1/3) + b^(1/3)*x)*Sqrt[(a^(2/3) - a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*EllipticE[ArcSin[((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)/((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)], -7 + 4*Sqrt[3]])/(b^(1/3)*Sqrt[-((a^(1/3)*(a^(1/3) + b^(1/3)*x))/((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)^2)]*Sqrt[-a - b*x^3])}
public void test01151() {
	check("Integrate[((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)/Sqrt[-a - b*x^3], x]", "(-2*Sqrt[-a - b*x^3])/(b^(1/3)*((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)) + (3^(1/4)*Sqrt[2 + Sqrt[3]]*a^(1/3)*(a^(1/3) + b^(1/3)*x)*Sqrt[(a^(2/3) - a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*EllipticE[ArcSin[((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)/((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)], -7 + 4*Sqrt[3]])/(b^(1/3)*Sqrt[-((a^(1/3)*(a^(1/3) + b^(1/3)*x))/((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)^2)]*Sqrt[-a - b*x^3])");

}

// {(1 + Sqrt[3] - (b/a)^(1/3)*x)/Sqrt[-a + b*x^3], x, 1, (2*(b/a)^(2/3)*Sqrt[-a + b*x^3])/(b*(1 - Sqrt[3] - (b/a)^(1/3)*x)) - (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 - (b/a)^(1/3)*x)*Sqrt[(1 + (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 - Sqrt[3] - (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] - (b/a)^(1/3)*x)/(1 - Sqrt[3] - (b/a)^(1/3)*x)], -7 + 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[-((1 - (b/a)^(1/3)*x)/(1 - Sqrt[3] - (b/a)^(1/3)*x)^2)]*Sqrt[-a + b*x^3])}
public void test01152() {
	check("Integrate[(1 + Sqrt[3] - (b/a)^(1/3)*x)/Sqrt[-a + b*x^3], x]", "(2*(b/a)^(2/3)*Sqrt[-a + b*x^3])/(b*(1 - Sqrt[3] - (b/a)^(1/3)*x)) - (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 - (b/a)^(1/3)*x)*Sqrt[(1 + (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 - Sqrt[3] - (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] - (b/a)^(1/3)*x)/(1 - Sqrt[3] - (b/a)^(1/3)*x)], -7 + 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[-((1 - (b/a)^(1/3)*x)/(1 - Sqrt[3] - (b/a)^(1/3)*x)^2)]*Sqrt[-a + b*x^3])");

}

// {(1 + Sqrt[3] + (b/a)^(1/3)*x)/Sqrt[-a - b*x^3], x, 1, (-2*(b/a)^(2/3)*Sqrt[-a - b*x^3])/(b*(1 - Sqrt[3] + (b/a)^(1/3)*x)) + (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 + (b/a)^(1/3)*x)*Sqrt[(1 - (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 - Sqrt[3] + (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] + (b/a)^(1/3)*x)/(1 - Sqrt[3] + (b/a)^(1/3)*x)], -7 + 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[-((1 + (b/a)^(1/3)*x)/(1 - Sqrt[3] + (b/a)^(1/3)*x)^2)]*Sqrt[-a - b*x^3])}
public void test01153() {
	check("Integrate[(1 + Sqrt[3] + (b/a)^(1/3)*x)/Sqrt[-a - b*x^3], x]", "(-2*(b/a)^(2/3)*Sqrt[-a - b*x^3])/(b*(1 - Sqrt[3] + (b/a)^(1/3)*x)) + (3^(1/4)*Sqrt[2 + Sqrt[3]]*(1 + (b/a)^(1/3)*x)*Sqrt[(1 - (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 - Sqrt[3] + (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 + Sqrt[3] + (b/a)^(1/3)*x)/(1 - Sqrt[3] + (b/a)^(1/3)*x)], -7 + 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[-((1 + (b/a)^(1/3)*x)/(1 - Sqrt[3] + (b/a)^(1/3)*x)^2)]*Sqrt[-a - b*x^3])");

}

// {(1 - Sqrt[3] + x)/Sqrt[1 + x^3], x, 1, (2*Sqrt[1 + x^3])/(1 + Sqrt[3] + x) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 + Sqrt[3] + x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] + x)/(1 + Sqrt[3] + x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 + x)/(1 + Sqrt[3] + x)^2]*Sqrt[1 + x^3])}
public void test01154() {
	check("Integrate[(1 - Sqrt[3] + x)/Sqrt[1 + x^3], x]", "(2*Sqrt[1 + x^3])/(1 + Sqrt[3] + x) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 + Sqrt[3] + x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] + x)/(1 + Sqrt[3] + x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 + x)/(1 + Sqrt[3] + x)^2]*Sqrt[1 + x^3])");

}

// {(1 - Sqrt[3] - x)/Sqrt[1 - x^3], x, 1, (-2*Sqrt[1 - x^3])/(1 + Sqrt[3] - x) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])}
public void test01155() {
	check("Integrate[(1 - Sqrt[3] - x)/Sqrt[1 - x^3], x]", "(-2*Sqrt[1 - x^3])/(1 + Sqrt[3] - x) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])");

}

// {(-1 + Sqrt[3] - x)/Sqrt[1 + x^3], x, 1, (-2*Sqrt[1 + x^3])/(1 + Sqrt[3] + x) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 + Sqrt[3] + x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] + x)/(1 + Sqrt[3] + x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 + x)/(1 + Sqrt[3] + x)^2]*Sqrt[1 + x^3])}
public void test01156() {
	check("Integrate[(-1 + Sqrt[3] - x)/Sqrt[1 + x^3], x]", "(-2*Sqrt[1 + x^3])/(1 + Sqrt[3] + x) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 + x)*Sqrt[(1 - x + x^2)/(1 + Sqrt[3] + x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] + x)/(1 + Sqrt[3] + x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 + x)/(1 + Sqrt[3] + x)^2]*Sqrt[1 + x^3])");

}

// {(-1 + Sqrt[3] + x)/Sqrt[1 - x^3], x, 1, (2*Sqrt[1 - x^3])/(1 + Sqrt[3] - x) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])}
public void test01157() {
	check("Integrate[(-1 + Sqrt[3] + x)/Sqrt[1 - x^3], x]", "(2*Sqrt[1 - x^3])/(1 + Sqrt[3] - x) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - x)*Sqrt[(1 + x + x^2)/(1 + Sqrt[3] - x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - x)/(1 + Sqrt[3] - x)], -7 - 4*Sqrt[3]])/(Sqrt[(1 - x)/(1 + Sqrt[3] - x)^2]*Sqrt[1 - x^3])");

}

// {((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)/Sqrt[a + b*x^3], x, 1, (2*Sqrt[a + b*x^3])/(b^(1/3)*((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*a^(1/3)*(a^(1/3) + b^(1/3)*x)*Sqrt[(a^(2/3) - a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*EllipticE[ArcSin[((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)], -7 - 4*Sqrt[3]])/(b^(1/3)*Sqrt[(a^(1/3)*(a^(1/3) + b^(1/3)*x))/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*Sqrt[a + b*x^3])}
public void test01158() {
	check("Integrate[((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)/Sqrt[a + b*x^3], x]", "(2*Sqrt[a + b*x^3])/(b^(1/3)*((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*a^(1/3)*(a^(1/3) + b^(1/3)*x)*Sqrt[(a^(2/3) - a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*EllipticE[ArcSin[((1 - Sqrt[3])*a^(1/3) + b^(1/3)*x)/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)], -7 - 4*Sqrt[3]])/(b^(1/3)*Sqrt[(a^(1/3)*(a^(1/3) + b^(1/3)*x))/((1 + Sqrt[3])*a^(1/3) + b^(1/3)*x)^2]*Sqrt[a + b*x^3])");

}

// {((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)/Sqrt[a - b*x^3], x, 1, (-2*Sqrt[a - b*x^3])/(b^(1/3)*((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*a^(1/3)*(a^(1/3) - b^(1/3)*x)*Sqrt[(a^(2/3) + a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)^2]*EllipticE[ArcSin[((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)/((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)], -7 - 4*Sqrt[3]])/(b^(1/3)*Sqrt[(a^(1/3)*(a^(1/3) - b^(1/3)*x))/((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)^2]*Sqrt[a - b*x^3])}
public void test01159() {
	check("Integrate[((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)/Sqrt[a - b*x^3], x]", "(-2*Sqrt[a - b*x^3])/(b^(1/3)*((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*a^(1/3)*(a^(1/3) - b^(1/3)*x)*Sqrt[(a^(2/3) + a^(1/3)*b^(1/3)*x + b^(2/3)*x^2)/((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)^2]*EllipticE[ArcSin[((1 - Sqrt[3])*a^(1/3) - b^(1/3)*x)/((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)], -7 - 4*Sqrt[3]])/(b^(1/3)*Sqrt[(a^(1/3)*(a^(1/3) - b^(1/3)*x))/((1 + Sqrt[3])*a^(1/3) - b^(1/3)*x)^2]*Sqrt[a - b*x^3])");

}

// {(1 - Sqrt[3] + (b/a)^(1/3)*x)/Sqrt[a + b*x^3], x, 1, (2*(b/a)^(2/3)*Sqrt[a + b*x^3])/(b*(1 + Sqrt[3] + (b/a)^(1/3)*x)) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 + (b/a)^(1/3)*x)*Sqrt[(1 - (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 + Sqrt[3] + (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] + (b/a)^(1/3)*x)/(1 + Sqrt[3] + (b/a)^(1/3)*x)], -7 - 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[(1 + (b/a)^(1/3)*x)/(1 + Sqrt[3] + (b/a)^(1/3)*x)^2]*Sqrt[a + b*x^3])}
public void test01160() {
	check("Integrate[(1 - Sqrt[3] + (b/a)^(1/3)*x)/Sqrt[a + b*x^3], x]", "(2*(b/a)^(2/3)*Sqrt[a + b*x^3])/(b*(1 + Sqrt[3] + (b/a)^(1/3)*x)) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 + (b/a)^(1/3)*x)*Sqrt[(1 - (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 + Sqrt[3] + (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] + (b/a)^(1/3)*x)/(1 + Sqrt[3] + (b/a)^(1/3)*x)], -7 - 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[(1 + (b/a)^(1/3)*x)/(1 + Sqrt[3] + (b/a)^(1/3)*x)^2]*Sqrt[a + b*x^3])");

}

// {(1 - Sqrt[3] - (b/a)^(1/3)*x)/Sqrt[a - b*x^3], x, 1, (-2*(b/a)^(2/3)*Sqrt[a - b*x^3])/(b*(1 + Sqrt[3] - (b/a)^(1/3)*x)) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - (b/a)^(1/3)*x)*Sqrt[(1 + (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 + Sqrt[3] - (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - (b/a)^(1/3)*x)/(1 + Sqrt[3] - (b/a)^(1/3)*x)], -7 - 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[(1 - (b/a)^(1/3)*x)/(1 + Sqrt[3] - (b/a)^(1/3)*x)^2]*Sqrt[a - b*x^3])}
public void test01161() {
	check("Integrate[(1 - Sqrt[3] - (b/a)^(1/3)*x)/Sqrt[a - b*x^3], x]", "(-2*(b/a)^(2/3)*Sqrt[a - b*x^3])/(b*(1 + Sqrt[3] - (b/a)^(1/3)*x)) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*(1 - (b/a)^(1/3)*x)*Sqrt[(1 + (b/a)^(1/3)*x + (b/a)^(2/3)*x^2)/(1 + Sqrt[3] - (b/a)^(1/3)*x)^2]*EllipticE[ArcSin[(1 - Sqrt[3] - (b/a)^(1/3)*x)/(1 + Sqrt[3] - (b/a)^(1/3)*x)], -7 - 4*Sqrt[3]])/((b/a)^(1/3)*Sqrt[(1 - (b/a)^(1/3)*x)/(1 + Sqrt[3] - (b/a)^(1/3)*x)^2]*Sqrt[a - b*x^3])");

}

// {(a*g - b*g*x^4)/(a + b*x^4)^(3/2), x, 1, (g*x)/Sqrt[a + b*x^4]}
public void test01162() {
	check("Integrate[(a*g - b*g*x^4)/(a + b*x^4)^(3/2), x]", "(g*x)/Sqrt[a + b*x^4]");

}

// {(a*g + e*x - b*g*x^4)/(a + b*x^4)^(3/2), x, 1, (2*a*g*x + e*x^2)/(2*a*Sqrt[a + b*x^4])}
public void test01163() {
	check("Integrate[(a*g + e*x - b*g*x^4)/(a + b*x^4)^(3/2), x]", "(2*a*g*x + e*x^2)/(2*a*Sqrt[a + b*x^4])");

}

// {(a*g + f*x^3 - b*g*x^4)/(a + b*x^4)^(3/2), x, 1, -(f - 2*b*g*x)/(2*b*Sqrt[a + b*x^4])}
public void test01164() {
	check("Integrate[(a*g + f*x^3 - b*g*x^4)/(a + b*x^4)^(3/2), x]", "-(f - 2*b*g*x)/(2*b*Sqrt[a + b*x^4])");

}

// {(a*g + e*x + f*x^3 - b*g*x^4)/(a + b*x^4)^(3/2), x, 1, -(a*f - 2*a*b*g*x - b*e*x^2)/(2*a*b*Sqrt[a + b*x^4])}
public void test01165() {
	check("Integrate[(a*g + e*x + f*x^3 - b*g*x^4)/(a + b*x^4)^(3/2), x]", "-(a*f - 2*a*b*g*x - b*e*x^2)/(2*a*b*Sqrt[a + b*x^4])");

}

// {(-1 + x^4)/(1 + x^4)^(3/2), x, 1, -(x/Sqrt[1 + x^4])}
public void test01166() {
	check("Integrate[(-1 + x^4)/(1 + x^4)^(3/2), x]", "-(x/Sqrt[1 + x^4])");

}

// {c + d*x^(-1 + n), x, 1, c*x + (d*x^n)/n}
public void test01167() {
	check("Integrate[c + d*x^(-1 + n), x]", "c*x + (d*x^n)/n");

}

// {(a*c + 2*(b*c + a*d)*x^2 + 3*b*d*x^4)/(Sqrt[a + b*x^2]*Sqrt[c + d*x^2]), x, 1, x*Sqrt[a + b*x^2]*Sqrt[c + d*x^2]}
public void test01168() {
	check("Integrate[(a*c + 2*(b*c + a*d)*x^2 + 3*b*d*x^4)/(Sqrt[a + b*x^2]*Sqrt[c + d*x^2]), x]", "x*Sqrt[a + b*x^2]*Sqrt[c + d*x^2]");

}

// {(a + b*x^n)^((-1 - n)/n)*(c + d*x^n)^((-1 - n)/n)*(a*c - b*d*x^(2*n)), x, 1, x/((a + b*x^n)^n^(-1)*(c + d*x^n)^n^(-1))}
public void test01169() {
	check("Integrate[(a + b*x^n)^((-1 - n)/n)*(c + d*x^n)^((-1 - n)/n)*(a*c - b*d*x^(2*n)), x]", "x/((a + b*x^n)^n^(-1)*(c + d*x^n)^n^(-1))");

}

// {(h*x)^(-1 - n - n*p)*(a + b*x^n)^p*(c + d*x^n)^p*(a*c - b*d*x^(2*n)), x, 1, -(((a + b*x^n)^(1 + p)*(c + d*x^n)^(1 + p))/(h*n*(1 + p)*(h*x)^(n*(1 + p))))}
public void test01170() {
	check("Integrate[(h*x)^(-1 - n - n*p)*(a + b*x^n)^p*(c + d*x^n)^p*(a*c - b*d*x^(2*n)), x]", "-(((a + b*x^n)^(1 + p)*(c + d*x^n)^(1 + p))/(h*n*(1 + p)*(h*x)^(n*(1 + p))))");

}

// {(a + b*x^n)^p*(c + d*x^n)^p*(e + ((b*c + a*d)*e*(1 + n + n*p)*x^n)/(a*c) + (b*d*e*(1 + 2*n + 2*n*p)*x^(2*n))/(a*c)), x, 1, (e*x*(a + b*x^n)^(1 + p)*(c + d*x^n)^(1 + p))/(a*c)}
public void test01171() {
	check("Integrate[(a + b*x^n)^p*(c + d*x^n)^p*(e + ((b*c + a*d)*e*(1 + n + n*p)*x^n)/(a*c) + (b*d*e*(1 + 2*n + 2*n*p)*x^(2*n))/(a*c)), x]", "(e*x*(a + b*x^n)^(1 + p)*(c + d*x^n)^(1 + p))/(a*c)");

}

// {(h*x)^m*(a + b*x^n)^p*(c + d*x^n)^p*(e + ((b*c + a*d)*e*(1 + m + n + n*p)*x^n)/(a*c*(1 + m)) + (b*d*e*(1 + m + 2*n + 2*n*p)*x^(2*n))/(a*c*(1 + m))), x, 1, (e*(h*x)^(1 + m)*(a + b*x^n)^(1 + p)*(c + d*x^n)^(1 + p))/(a*c*h*(1 + m))}
public void test01172() {
	check("Integrate[(h*x)^m*(a + b*x^n)^p*(c + d*x^n)^p*(e + ((b*c + a*d)*e*(1 + m + n + n*p)*x^n)/(a*c*(1 + m)) + (b*d*e*(1 + m + 2*n + 2*n*p)*x^(2*n))/(a*c*(1 + m))), x]", "(e*(h*x)^(1 + m)*(a + b*x^n)^(1 + p)*(c + d*x^n)^(1 + p))/(a*c*h*(1 + m))");

}

// {a*x + b*x^3, x, 1, (a*x^2)/2 + (b*x^4)/4}
public void test01173() {
	check("Integrate[a*x + b*x^3, x]", "(a*x^2)/2 + (b*x^4)/4");

}

// {x^(21/2)/(a*x + b*x^3)^(9/2), x, 1, x^(21/2)/(7*a*(a*x + b*x^3)^(7/2))}
public void test01174() {
	check("Integrate[x^(21/2)/(a*x + b*x^3)^(9/2), x]", "x^(21/2)/(7*a*(a*x + b*x^3)^(7/2))");

}

// {x^(11/2)/(a*x + b*x^3)^(9/2), x, 1, -x^(7/2)/(7*b*(a*x + b*x^3)^(7/2))}
public void test01175() {
	check("Integrate[x^(11/2)/(a*x + b*x^3)^(9/2), x]", "-x^(7/2)/(7*b*(a*x + b*x^3)^(7/2))");

}

// {1/(x^2*Sqrt[a*x + b*x^4]), x, 1, (-2*Sqrt[a*x + b*x^4])/(3*a*x^2)}
public void test01176() {
	check("Integrate[1/(x^2*Sqrt[a*x + b*x^4]), x]", "(-2*Sqrt[a*x + b*x^4])/(3*a*x^2)");

}

// {1/(x*Sqrt[b*Sqrt[x] + a*x]), x, 1, (-4*Sqrt[b*Sqrt[x] + a*x])/(b*Sqrt[x])}
public void test01177() {
	check("Integrate[1/(x*Sqrt[b*Sqrt[x] + a*x]), x]", "(-4*Sqrt[b*Sqrt[x] + a*x])/(b*Sqrt[x])");

}

// {(b*Sqrt[x] + a*x)^(-3/2), x, 1, (4*Sqrt[x])/(b*Sqrt[b*Sqrt[x] + a*x])}
public void test01178() {
	check("Integrate[(b*Sqrt[x] + a*x)^(-3/2), x]", "(4*Sqrt[x])/(b*Sqrt[b*Sqrt[x] + a*x])");

}

// {Sqrt[b*x^(2/3) + a*x]/x, x, 1, (2*(b*x^(2/3) + a*x)^(3/2))/(a*x)}
public void test01179() {
	check("Integrate[Sqrt[b*x^(2/3) + a*x]/x, x]", "(2*(b*x^(2/3) + a*x)^(3/2))/(a*x)");

}

// {a*x^2 + b*x^3, x, 1, (a*x^3)/3 + (b*x^4)/4}
public void test01180() {
	check("Integrate[a*x^2 + b*x^3, x]", "(a*x^3)/3 + (b*x^4)/4");

}

// {x^4/(a*x^2 + b*x^3)^2, x, 1, -(x^2/(b*(a*x^2 + b*x^3)))}
public void test01181() {
	check("Integrate[x^4/(a*x^2 + b*x^3)^2, x]", "-(x^2/(b*(a*x^2 + b*x^3)))");

}

// {Sqrt[a*x^2 + b*x^3]/x, x, 1, (2*(a*x^2 + b*x^3)^(3/2))/(3*b*x^3)}
public void test01182() {
	check("Integrate[Sqrt[a*x^2 + b*x^3]/x, x]", "(2*(a*x^2 + b*x^3)^(3/2))/(3*b*x^3)");

}

// {(a*x^2 + b*x^3)^(3/2)/x^3, x, 1, (2*(a*x^2 + b*x^3)^(5/2))/(5*b*x^5)}
public void test01183() {
	check("Integrate[(a*x^2 + b*x^3)^(3/2)/x^3, x]", "(2*(a*x^2 + b*x^3)^(5/2))/(5*b*x^5)");

}

// {x/Sqrt[a*x^2 + b*x^3], x, 1, (2*Sqrt[a*x^2 + b*x^3])/(b*x)}
public void test01184() {
	check("Integrate[x/Sqrt[a*x^2 + b*x^3], x]", "(2*Sqrt[a*x^2 + b*x^3])/(b*x)");

}

// {x^3/(a*x^2 + b*x^3)^(3/2), x, 1, (-2*x)/(b*Sqrt[a*x^2 + b*x^3])}
public void test01185() {
	check("Integrate[x^3/(a*x^2 + b*x^3)^(3/2), x]", "(-2*x)/(b*Sqrt[a*x^2 + b*x^3])");

}

// {1/(Sqrt[x]*Sqrt[a*x^2 + b*x^3]), x, 1, (-2*Sqrt[a*x^2 + b*x^3])/(a*x^(3/2))}
public void test01186() {
	check("Integrate[1/(Sqrt[x]*Sqrt[a*x^2 + b*x^3]), x]", "(-2*Sqrt[a*x^2 + b*x^3])/(a*x^(3/2))");

}

// {x^(-2 - 3*n)*(a*x^2 + b*x^3)^n, x, 1, -((a*x^2 + b*x^3)^(1 + n)/(a*(1 + n)*x^(3*(1 + n))))}
public void test01187() {
	check("Integrate[x^(-2 - 3*n)*(a*x^2 + b*x^3)^n, x]", "-((a*x^2 + b*x^3)^(1 + n)/(a*(1 + n)*x^(3*(1 + n))))");

}

// {x^3/Sqrt[a*x^2 + b*x^5], x, 1, (2*Sqrt[a*x^2 + b*x^5])/(3*b*x)}
public void test01188() {
	check("Integrate[x^3/Sqrt[a*x^2 + b*x^5], x]", "(2*Sqrt[a*x^2 + b*x^5])/(3*b*x)");

}

// {1/(x^(3/2)*Sqrt[a*x^2 + b*x^5]), x, 1, (-2*Sqrt[a*x^2 + b*x^5])/(3*a*x^(5/2))}
public void test01189() {
	check("Integrate[1/(x^(3/2)*Sqrt[a*x^2 + b*x^5]), x]", "(-2*Sqrt[a*x^2 + b*x^5])/(3*a*x^(5/2))");

}

// {1/Sqrt[a*x^3 + b*x^4], x, 1, (-2*Sqrt[a*x^3 + b*x^4])/(a*x^2)}
public void test01190() {
	check("Integrate[1/Sqrt[a*x^3 + b*x^4], x]", "(-2*Sqrt[a*x^3 + b*x^4])/(a*x^2)");

}

// {x^12*(a*x + b*x^26)^12, x, 1, (a*x + b*x^26)^13/(325*b*x^13)}
public void test01191() {
	check("Integrate[x^12*(a*x + b*x^26)^12, x]", "(a*x + b*x^26)^13/(325*b*x^13)");

}

// {x^24*(a*x + b*x^38)^12, x, 1, (a*x + b*x^38)^13/(481*b*x^13)}
public void test01192() {
	check("Integrate[x^24*(a*x + b*x^38)^12, x]", "(a*x + b*x^38)^13/(481*b*x^13)");

}

// {x^12*(a + b*x^13)^12, x, 1, (a + b*x^13)^13/(169*b)}
public void test01193() {
	check("Integrate[x^12*(a + b*x^13)^12, x]", "(a + b*x^13)^13/(169*b)");

}

// {x^12*(a*x + b*x^26)^12, x, 1, (a*x + b*x^26)^13/(325*b*x^13)}
public void test01194() {
	check("Integrate[x^12*(a*x + b*x^26)^12, x]", "(a*x + b*x^26)^13/(325*b*x^13)");

}

// {x^12*(a*x^2 + b*x^39)^12, x, 1, (a*x^2 + b*x^39)^13/(481*b*x^26)}
public void test01195() {
	check("Integrate[x^12*(a*x^2 + b*x^39)^12, x]", "(a*x^2 + b*x^39)^13/(481*b*x^26)");

}

// {x^24*(a + b*x^25)^12, x, 1, (a + b*x^25)^13/(325*b)}
public void test01196() {
	check("Integrate[x^24*(a + b*x^25)^12, x]", "(a + b*x^25)^13/(325*b)");

}

// {x^24*(a*x + b*x^38)^12, x, 1, (a*x + b*x^38)^13/(481*b*x^13)}
public void test01197() {
	check("Integrate[x^24*(a*x + b*x^38)^12, x]", "(a*x + b*x^38)^13/(481*b*x^13)");

}

// {x^36*(a + b*x^37)^12, x, 1, (a + b*x^37)^13/(481*b)}
public void test01198() {
	check("Integrate[x^36*(a + b*x^37)^12, x]", "(a + b*x^37)^13/(481*b)");

}

// {Sqrt[x + x^(5/2)], x, 1, (4*(x + x^(5/2))^(3/2))/(9*x^(3/2))}
public void test01199() {
	check("Integrate[Sqrt[x + x^(5/2)], x]", "(4*(x + x^(5/2))^(3/2))/(9*x^(3/2))");

}

// {x*Sqrt[x^2*(a + b*x^3)], x, 1, (2*(x^2*(a + b*x^3))^(3/2))/(9*b*x^3)}
public void test01200() {
	check("Integrate[x*Sqrt[x^2*(a + b*x^3)], x]", "(2*(x^2*(a + b*x^3))^(3/2))/(9*b*x^3)");

}

// {x*Sqrt[a*x^2 + b*x^5], x, 1, (2*(a*x^2 + b*x^5)^(3/2))/(9*b*x^3)}
public void test01201() {
	check("Integrate[x*Sqrt[a*x^2 + b*x^5], x]", "(2*(a*x^2 + b*x^5)^(3/2))/(9*b*x^3)");

}

// {(a*x^m + b*x^(1 + m + m*p))^p, x, 1, (a*x^m + b*x^(1 + m + m*p))^(1 + p)/(b*(1 + p)*(1 + m*p)*x^(m*(1 + p)))}
public void test01202() {
	check("Integrate[(a*x^m + b*x^(1 + m + m*p))^p, x]", "(a*x^m + b*x^(1 + m + m*p))^(1 + p)/(b*(1 + p)*(1 + m*p)*x^(m*(1 + p)))");

}

// {x^n*(a*x^m + b*x^(1 + m + n + m*p))^p, x, 1, (a*x^m + b*x^(1 + m + n + m*p))^(1 + p)/(b*(1 + p)*(1 + n + m*p)*x^(m*(1 + p)))}
public void test01203() {
	check("Integrate[x^n*(a*x^m + b*x^(1 + m + n + m*p))^p, x]", "(a*x^m + b*x^(1 + m + n + m*p))^(1 + p)/(b*(1 + p)*(1 + n + m*p)*x^(m*(1 + p)))");

}

// {x^(-1 + n - p*(1 + q))*(a*x^n + b*x^p)^q, x, 1, (a*x^n + b*x^p)^(1 + q)/(a*(n - p)*(1 + q)*x^(p*(1 + q)))}
public void test01204() {
	check("Integrate[x^(-1 + n - p*(1 + q))*(a*x^n + b*x^p)^q, x]", "(a*x^n + b*x^p)^(1 + q)/(a*(n - p)*(1 + q)*x^(p*(1 + q)))");

}

// {((3*I)*x + 4*x^2)^(-3/2), x, 1, (2*(3*I + 8*x))/(9*Sqrt[(3*I)*x + 4*x^2])}
public void test01205() {
	check("Integrate[((3*I)*x + 4*x^2)^(-3/2), x]", "(2*(3*I + 8*x))/(9*Sqrt[(3*I)*x + 4*x^2])");

}

// {(3*x - 4*x^2)^(-3/2), x, 1, (-2*(3 - 8*x))/(9*Sqrt[3*x - 4*x^2])}
public void test01206() {
	check("Integrate[(3*x - 4*x^2)^(-3/2), x]", "(-2*(3 - 8*x))/(9*Sqrt[3*x - 4*x^2])");

}

// {(b*x + c*x^2)^p, x, 1, -(((-((c*x)/b))^(-1 - p)*(b*x + c*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (b + c*x)/b])/(b*(1 + p)))}
public void test01207() {
	check("Integrate[(b*x + c*x^2)^p, x]", "-(((-((c*x)/b))^(-1 - p)*(b*x + c*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (b + c*x)/b])/(b*(1 + p)))");

}

// {a + c*x^2, x, 1, a*x + (c*x^3)/3}
public void test01208() {
	check("Integrate[a + c*x^2, x]", "a*x + (c*x^3)/3");

}

// {(a + c*x^2)^(-1), x, 1, ArcTan[(Sqrt[c]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[c])}
public void test01209() {
	check("Integrate[(a + c*x^2)^(-1), x]", "ArcTan[(Sqrt[c]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[c])");

}

// {(a + c*x^2)^(-3/2), x, 1, x/(a*Sqrt[a + c*x^2])}
public void test01210() {
	check("Integrate[(a + c*x^2)^(-3/2), x]", "x/(a*Sqrt[a + c*x^2])");

}

// {(4 + 12*x + 9*x^2)^(3/2), x, 1, ((2 + 3*x)*(4 + 12*x + 9*x^2)^(3/2))/12}
public void test01211() {
	check("Integrate[(4 + 12*x + 9*x^2)^(3/2), x]", "((2 + 3*x)*(4 + 12*x + 9*x^2)^(3/2))/12");

}

// {Sqrt[4 + 12*x + 9*x^2], x, 1, ((2 + 3*x)*Sqrt[4 + 12*x + 9*x^2])/6}
public void test01212() {
	check("Integrate[Sqrt[4 + 12*x + 9*x^2], x]", "((2 + 3*x)*Sqrt[4 + 12*x + 9*x^2])/6");

}

// {(4 + 12*x + 9*x^2)^(-3/2), x, 1, -1/(6*(2 + 3*x)*Sqrt[4 + 12*x + 9*x^2])}
public void test01213() {
	check("Integrate[(4 + 12*x + 9*x^2)^(-3/2), x]", "-1/(6*(2 + 3*x)*Sqrt[4 + 12*x + 9*x^2])");

}

// {Sqrt[4 - 12*x + 9*x^2], x, 1, -((2 - 3*x)*Sqrt[4 - 12*x + 9*x^2])/6}
public void test01214() {
	check("Integrate[Sqrt[4 - 12*x + 9*x^2], x]", "-((2 - 3*x)*Sqrt[4 - 12*x + 9*x^2])/6");

}

// {Sqrt[-4 + 12*x - 9*x^2], x, 1, -((2 - 3*x)*Sqrt[-4 + 12*x - 9*x^2])/6}
public void test01215() {
	check("Integrate[Sqrt[-4 + 12*x - 9*x^2], x]", "-((2 - 3*x)*Sqrt[-4 + 12*x - 9*x^2])/6");

}

// {Sqrt[-4 - 12*x - 9*x^2], x, 1, ((2 + 3*x)*Sqrt[-4 - 12*x - 9*x^2])/6}
public void test01216() {
	check("Integrate[Sqrt[-4 - 12*x - 9*x^2], x]", "((2 + 3*x)*Sqrt[-4 - 12*x - 9*x^2])/6");

}

// {(2 + 3*x + x^2)^(-3/2), x, 1, (-2*(3 + 2*x))/Sqrt[2 + 3*x + x^2]}
public void test01217() {
	check("Integrate[(2 + 3*x + x^2)^(-3/2), x]", "(-2*(3 + 2*x))/Sqrt[2 + 3*x + x^2]");

}

// {(27 - 24*x + 4*x^2)^(-3/2), x, 1, (3 - x)/(9*Sqrt[27 - 24*x + 4*x^2])}
public void test01218() {
	check("Integrate[(27 - 24*x + 4*x^2)^(-3/2), x]", "(3 - x)/(9*Sqrt[27 - 24*x + 4*x^2])");

}

// {x/(5 - 4*x - x^2)^(3/2), x, 1, (5 - 2*x)/(9*Sqrt[5 - 4*x - x^2])}
public void test01219() {
	check("Integrate[x/(5 - 4*x - x^2)^(3/2), x]", "(5 - 2*x)/(9*Sqrt[5 - 4*x - x^2])");

}

// {(a + b*x + c*x^2)^p, x, 1, -((2^(1 + p)*(-((b - Sqrt[b^2 - 4*a*c] + 2*c*x)/Sqrt[b^2 - 4*a*c]))^(-1 - p)*(a + b*x + c*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (b + Sqrt[b^2 - 4*a*c] + 2*c*x)/(2*Sqrt[b^2 - 4*a*c])])/(Sqrt[b^2 - 4*a*c]*(1 + p)))}
public void test01220() {
	check("Integrate[(a + b*x + c*x^2)^p, x]", "-((2^(1 + p)*(-((b - Sqrt[b^2 - 4*a*c] + 2*c*x)/Sqrt[b^2 - 4*a*c]))^(-1 - p)*(a + b*x + c*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (b + Sqrt[b^2 - 4*a*c] + 2*c*x)/(2*Sqrt[b^2 - 4*a*c])])/(Sqrt[b^2 - 4*a*c]*(1 + p)))");

}

// {(3 + 4*x + x^2)^p, x, 1, -((2^(1 + 2*p)*(-2 - 2*x)^(-1 - p)*(3 + 4*x + x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (3 + x)/2])/(1 + p))}
public void test01221() {
	check("Integrate[(3 + 4*x + x^2)^p, x]", "-((2^(1 + 2*p)*(-2 - 2*x)^(-1 - p)*(3 + 4*x + x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (3 + x)/2])/(1 + p))");

}

// {(3 + 4*x)^p, x, 1, (3 + 4*x)^(1 + p)/(4*(1 + p))}
public void test01222() {
	check("Integrate[(3 + 4*x)^p, x]", "(3 + 4*x)^(1 + p)/(4*(1 + p))");

}

// {Sqrt[b*x + c*x^2]/x^3, x, 1, (-2*(b*x + c*x^2)^(3/2))/(3*b*x^3)}
public void test01223() {
	check("Integrate[Sqrt[b*x + c*x^2]/x^3, x]", "(-2*(b*x + c*x^2)^(3/2))/(3*b*x^3)");

}

// {(b*x + c*x^2)^(3/2)/x^5, x, 1, (-2*(b*x + c*x^2)^(5/2))/(5*b*x^5)}
public void test01224() {
	check("Integrate[(b*x + c*x^2)^(3/2)/x^5, x]", "(-2*(b*x + c*x^2)^(5/2))/(5*b*x^5)");

}

// {(a*x + b*x^2)^(5/2)/x^7, x, 1, (-2*(a*x + b*x^2)^(7/2))/(7*a*x^7)}
public void test01225() {
	check("Integrate[(a*x + b*x^2)^(5/2)/x^7, x]", "(-2*(a*x + b*x^2)^(7/2))/(7*a*x^7)");

}

// {1/(x*Sqrt[b*x + c*x^2]), x, 1, (-2*Sqrt[b*x + c*x^2])/(b*x)}
public void test01226() {
	check("Integrate[1/(x*Sqrt[b*x + c*x^2]), x]", "(-2*Sqrt[b*x + c*x^2])/(b*x)");

}

// {x/(b*x + c*x^2)^(3/2), x, 1, (2*x)/(b*Sqrt[b*x + c*x^2])}
public void test01227() {
	check("Integrate[x/(b*x + c*x^2)^(3/2), x]", "(2*x)/(b*Sqrt[b*x + c*x^2])");

}

// {(b*x + c*x^2)^(-3/2), x, 1, (-2*(b + 2*c*x))/(b^2*Sqrt[b*x + c*x^2])}
public void test01228() {
	check("Integrate[(b*x + c*x^2)^(-3/2), x]", "(-2*(b + 2*c*x))/(b^2*Sqrt[b*x + c*x^2])");

}

// {x^3/(a*x + b*x^2)^(5/2), x, 1, (2*x^3)/(3*a*(a*x + b*x^2)^(3/2))}
public void test01229() {
	check("Integrate[x^3/(a*x + b*x^2)^(5/2), x]", "(2*x^3)/(3*a*(a*x + b*x^2)^(3/2))");

}

// {Sqrt[b*x + c*x^2]/Sqrt[x], x, 1, (2*(b*x + c*x^2)^(3/2))/(3*c*x^(3/2))}
public void test01230() {
	check("Integrate[Sqrt[b*x + c*x^2]/Sqrt[x], x]", "(2*(b*x + c*x^2)^(3/2))/(3*c*x^(3/2))");

}

// {(b*x + c*x^2)^(3/2)/x^(3/2), x, 1, (2*(b*x + c*x^2)^(5/2))/(5*c*x^(5/2))}
public void test01231() {
	check("Integrate[(b*x + c*x^2)^(3/2)/x^(3/2), x]", "(2*(b*x + c*x^2)^(5/2))/(5*c*x^(5/2))");

}

// {Sqrt[x]/Sqrt[b*x + c*x^2], x, 1, (2*Sqrt[b*x + c*x^2])/(c*Sqrt[x])}
public void test01232() {
	check("Integrate[Sqrt[x]/Sqrt[b*x + c*x^2], x]", "(2*Sqrt[b*x + c*x^2])/(c*Sqrt[x])");

}

// {x^(3/2)/(b*x + c*x^2)^(3/2), x, 1, (-2*Sqrt[x])/(c*Sqrt[b*x + c*x^2])}
public void test01233() {
	check("Integrate[x^(3/2)/(b*x + c*x^2)^(3/2), x]", "(-2*Sqrt[x])/(c*Sqrt[b*x + c*x^2])");

}

// {Sqrt[a^2 + 2*a*b*x + b^2*x^2], x, 1, ((a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])/(2*b)}
public void test01234() {
	check("Integrate[Sqrt[a^2 + 2*a*b*x + b^2*x^2], x]", "((a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])/(2*b)");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x, 1, ((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))/(4*b)}
public void test01235() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x]", "((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))/(4*b)");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x, 1, ((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2))/(6*b)}
public void test01236() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x]", "((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2))/(6*b)");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(-3/2), x, 1, -1/(2*b*(a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])}
public void test01237() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(-3/2), x]", "-1/(2*b*(a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(-5/2), x, 1, -1/(4*b*(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))}
public void test01238() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(-5/2), x]", "-1/(4*b*(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))");

}

// {(1 + x)/(2*x + x^2), x, 1, Log[2*x + x^2]/2}
public void test01239() {
	check("Integrate[(1 + x)/(2*x + x^2), x]", "Log[2*x + x^2]/2");

}

// {(a + 2*b*x)/(a*x + b*x^2), x, 1, Log[a*x + b*x^2]}
public void test01240() {
	check("Integrate[(a + 2*b*x)/(a*x + b*x^2), x]", "Log[a*x + b*x^2]");

}

// {b*x + c*x^2, x, 1, (b*x^2)/2 + (c*x^3)/3}
public void test01241() {
	check("Integrate[b*x + c*x^2, x]", "(b*x^2)/2 + (c*x^3)/3");

}

// {(d + e*x)/(b*x + c*x^2)^(3/2), x, 1, (-2*(b*d + (2*c*d - b*e)*x))/(b^2*Sqrt[b*x + c*x^2])}
public void test01242() {
	check("Integrate[(d + e*x)/(b*x + c*x^2)^(3/2), x]", "(-2*(b*d + (2*c*d - b*e)*x))/(b^2*Sqrt[b*x + c*x^2])");

}

// {(b*x + c*x^2)^(-3/2), x, 1, (-2*(b + 2*c*x))/(b^2*Sqrt[b*x + c*x^2])}
public void test01243() {
	check("Integrate[(b*x + c*x^2)^(-3/2), x]", "(-2*(b + 2*c*x))/(b^2*Sqrt[b*x + c*x^2])");

}

// {1/((2 + x)*Sqrt[2*x + x^2]), x, 1, Sqrt[2*x + x^2]/(2 + x)}
public void test01244() {
	check("Integrate[1/((2 + x)*Sqrt[2*x + x^2]), x]", "Sqrt[2*x + x^2]/(2 + x)");

}

// {Sqrt[1 - x]/(Sqrt[-x]*Sqrt[1 + x]), x, 1, -2*EllipticE[ArcSin[Sqrt[-x]], -1]}
public void test01245() {
	check("Integrate[Sqrt[1 - x]/(Sqrt[-x]*Sqrt[1 + x]), x]", "-2*EllipticE[ArcSin[Sqrt[-x]], -1]");

}

// {(d + e*x)^m, x, 1, (d + e*x)^(1 + m)/(e*(1 + m))}
public void test01246() {
	check("Integrate[(d + e*x)^m, x]", "(d + e*x)^(1 + m)/(e*(1 + m))");

}

// {(d + e*x)/(a + c*x^2)^(3/2), x, 1, -((a*e - c*d*x)/(a*c*Sqrt[a + c*x^2]))}
public void test01247() {
	check("Integrate[(d + e*x)/(a + c*x^2)^(3/2), x]", "-((a*e - c*d*x)/(a*c*Sqrt[a + c*x^2]))");

}

// {(2 + 3*x)/(4 + x^2)^(3/2), x, 1, -(6 - x)/(2*Sqrt[4 + x^2])}
public void test01248() {
	check("Integrate[(2 + 3*x)/(4 + x^2)^(3/2), x]", "-(6 - x)/(2*Sqrt[4 + x^2])");

}

// {1/((d + e*x)*(d^2 + 3*e^2*x^2)^(1/3)), x, 1, -(ArcTan[1/Sqrt[3] + (2^(2/3)*(d - e*x))/(Sqrt[3]*d^(1/3)*(d^2 + 3*e^2*x^2)^(1/3))]/(2^(2/3)*Sqrt[3]*d^(2/3)*e)) - Log[d + e*x]/(2*2^(2/3)*d^(2/3)*e) + Log[3*d*e^2 - 3*e^3*x - 3*2^(1/3)*d^(1/3)*e^2*(d^2 + 3*e^2*x^2)^(1/3)]/(2*2^(2/3)*d^(2/3)*e)}
public void test01249() {
	check("Integrate[1/((d + e*x)*(d^2 + 3*e^2*x^2)^(1/3)), x]", "-(ArcTan[1/Sqrt[3] + (2^(2/3)*(d - e*x))/(Sqrt[3]*d^(1/3)*(d^2 + 3*e^2*x^2)^(1/3))]/(2^(2/3)*Sqrt[3]*d^(2/3)*e)) - Log[d + e*x]/(2*2^(2/3)*d^(2/3)*e) + Log[3*d*e^2 - 3*e^3*x - 3*2^(1/3)*d^(1/3)*e^2*(d^2 + 3*e^2*x^2)^(1/3)]/(2*2^(2/3)*d^(2/3)*e)");

}

// {1/((2 + 3*x)*(4 + 27*x^2)^(1/3)), x, 1, -ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - 3*x))/(Sqrt[3]*(4 + 27*x^2)^(1/3))]/(6*2^(1/3)*Sqrt[3]) - Log[2 + 3*x]/(12*2^(1/3)) + Log[54 - 81*x - 27*2^(2/3)*(4 + 27*x^2)^(1/3)]/(12*2^(1/3))}
public void test01250() {
	check("Integrate[1/((2 + 3*x)*(4 + 27*x^2)^(1/3)), x]", "-ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - 3*x))/(Sqrt[3]*(4 + 27*x^2)^(1/3))]/(6*2^(1/3)*Sqrt[3]) - Log[2 + 3*x]/(12*2^(1/3)) + Log[54 - 81*x - 27*2^(2/3)*(4 + 27*x^2)^(1/3)]/(12*2^(1/3))");

}

// {1/((2 + (3*I)*x)*(4 - 27*x^2)^(1/3)), x, 1, ((I/6)*ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - (3*I)*x))/(Sqrt[3]*(4 - 27*x^2)^(1/3))])/(2^(1/3)*Sqrt[3]) + ((I/12)*Log[2 + (3*I)*x])/2^(1/3) - ((I/12)*Log[-54 + (81*I)*x + 27*2^(2/3)*(4 - 27*x^2)^(1/3)])/2^(1/3)}
public void test01251() {
	check("Integrate[1/((2 + (3*I)*x)*(4 - 27*x^2)^(1/3)), x]", "((I/6)*ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - (3*I)*x))/(Sqrt[3]*(4 - 27*x^2)^(1/3))])/(2^(1/3)*Sqrt[3]) + ((I/12)*Log[2 + (3*I)*x])/2^(1/3) - ((I/12)*Log[-54 + (81*I)*x + 27*2^(2/3)*(4 - 27*x^2)^(1/3)])/2^(1/3)");

}

// {1/((Sqrt[3] + x)*(1 + x^2)^(1/3)), x, 1, -(ArcTan[1/Sqrt[3] + (2^(2/3)*(Sqrt[3] - x))/(3*(1 + x^2)^(1/3))]/(2^(2/3)*Sqrt[3])) - Log[Sqrt[3] + x]/(2*2^(2/3)) + Log[Sqrt[3] - x - 2^(1/3)*Sqrt[3]*(1 + x^2)^(1/3)]/(2*2^(2/3))}
public void test01252() {
	check("Integrate[1/((Sqrt[3] + x)*(1 + x^2)^(1/3)), x]", "-(ArcTan[1/Sqrt[3] + (2^(2/3)*(Sqrt[3] - x))/(3*(1 + x^2)^(1/3))]/(2^(2/3)*Sqrt[3])) - Log[Sqrt[3] + x]/(2*2^(2/3)) + Log[Sqrt[3] - x - 2^(1/3)*Sqrt[3]*(1 + x^2)^(1/3)]/(2*2^(2/3))");

}

// {1/((Sqrt[3] - x)*(1 + x^2)^(1/3)), x, 1, ArcTan[1/Sqrt[3] + (2^(2/3)*(Sqrt[3] + x))/(3*(1 + x^2)^(1/3))]/(2^(2/3)*Sqrt[3]) + Log[Sqrt[3] - x]/(2*2^(2/3)) - Log[Sqrt[3] + x - 2^(1/3)*Sqrt[3]*(1 + x^2)^(1/3)]/(2*2^(2/3))}
public void test01253() {
	check("Integrate[1/((Sqrt[3] - x)*(1 + x^2)^(1/3)), x]", "ArcTan[1/Sqrt[3] + (2^(2/3)*(Sqrt[3] + x))/(3*(1 + x^2)^(1/3))]/(2^(2/3)*Sqrt[3]) + Log[Sqrt[3] - x]/(2*2^(2/3)) - Log[Sqrt[3] + x - 2^(1/3)*Sqrt[3]*(1 + x^2)^(1/3)]/(2*2^(2/3))");

}

// {1/((d + e*x)^(3/2)*(a + c*x^2)^(1/4)), x, 1, (-2*(Sqrt[-a] - Sqrt[c]*x)*(-(((Sqrt[c]*d + Sqrt[-a]*e)*(Sqrt[-a] + Sqrt[c]*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))))^(1/4)*Hypergeometric2F1[-1/2, 1/4, 1/2, (2*Sqrt[-a]*Sqrt[c]*(d + e*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))])/((Sqrt[c]*d + Sqrt[-a]*e)*Sqrt[d + e*x]*(a + c*x^2)^(1/4))}
public void test01254() {
	check("Integrate[1/((d + e*x)^(3/2)*(a + c*x^2)^(1/4)), x]", "(-2*(Sqrt[-a] - Sqrt[c]*x)*(-(((Sqrt[c]*d + Sqrt[-a]*e)*(Sqrt[-a] + Sqrt[c]*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))))^(1/4)*Hypergeometric2F1[-1/2, 1/4, 1/2, (2*Sqrt[-a]*Sqrt[c]*(d + e*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))])/((Sqrt[c]*d + Sqrt[-a]*e)*Sqrt[d + e*x]*(a + c*x^2)^(1/4))");

}

// {(d + e*x)^(-2 - 2*p)*(a + c*x^2)^p, x, 1, -(((Sqrt[-a] - Sqrt[c]*x)*(d + e*x)^(-1 - 2*p)*(a + c*x^2)^p*Hypergeometric2F1[-1 - 2*p, -p, -2*p, (2*Sqrt[-a]*Sqrt[c]*(d + e*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))])/((Sqrt[c]*d + Sqrt[-a]*e)*(1 + 2*p)*(-(((Sqrt[c]*d + Sqrt[-a]*e)*(Sqrt[-a] + Sqrt[c]*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))))^p))}
public void test01255() {
	check("Integrate[(d + e*x)^(-2 - 2*p)*(a + c*x^2)^p, x]", "-(((Sqrt[-a] - Sqrt[c]*x)*(d + e*x)^(-1 - 2*p)*(a + c*x^2)^p*Hypergeometric2F1[-1 - 2*p, -p, -2*p, (2*Sqrt[-a]*Sqrt[c]*(d + e*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))])/((Sqrt[c]*d + Sqrt[-a]*e)*(1 + 2*p)*(-(((Sqrt[c]*d + Sqrt[-a]*e)*(Sqrt[-a] + Sqrt[c]*x))/((Sqrt[c]*d - Sqrt[-a]*e)*(Sqrt[-a] - Sqrt[c]*x))))^p))");

}

// {Sqrt[a^2 - b^2*x^2]/(a + b*x)^3, x, 1, -(a^2 - b^2*x^2)^(3/2)/(3*a*b*(a + b*x)^3)}
public void test01256() {
	check("Integrate[Sqrt[a^2 - b^2*x^2]/(a + b*x)^3, x]", "-(a^2 - b^2*x^2)^(3/2)/(3*a*b*(a + b*x)^3)");

}

// {(a^2 - b^2*x^2)^(3/2)/(a + b*x)^5, x, 1, -(a^2 - b^2*x^2)^(5/2)/(5*a*b*(a + b*x)^5)}
public void test01257() {
	check("Integrate[(a^2 - b^2*x^2)^(3/2)/(a + b*x)^5, x]", "-(a^2 - b^2*x^2)^(5/2)/(5*a*b*(a + b*x)^5)");

}

// {(d^2 - e^2*x^2)^(7/2)/(d + e*x)^9, x, 1, -(d^2 - e^2*x^2)^(9/2)/(9*d*e*(d + e*x)^9)}
public void test01258() {
	check("Integrate[(d^2 - e^2*x^2)^(7/2)/(d + e*x)^9, x]", "-(d^2 - e^2*x^2)^(9/2)/(9*d*e*(d + e*x)^9)");

}

// {Sqrt[1 - x^2]/(1 - x)^3, x, 1, (1 - x^2)^(3/2)/(3*(1 - x)^3)}
public void test01259() {
	check("Integrate[Sqrt[1 - x^2]/(1 - x)^3, x]", "(1 - x^2)^(3/2)/(3*(1 - x)^3)");

}

// {1/((d + e*x)*Sqrt[d^2 - e^2*x^2]), x, 1, -(Sqrt[d^2 - e^2*x^2]/(d*e*(d + e*x)))}
public void test01260() {
	check("Integrate[1/((d + e*x)*Sqrt[d^2 - e^2*x^2]), x]", "-(Sqrt[d^2 - e^2*x^2]/(d*e*(d + e*x)))");

}

// {(d + e*x)^3/(d^2 - e^2*x^2)^(5/2), x, 1, (d + e*x)^3/(3*d*e*(d^2 - e^2*x^2)^(3/2))}
public void test01261() {
	check("Integrate[(d + e*x)^3/(d^2 - e^2*x^2)^(5/2), x]", "(d + e*x)^3/(3*d*e*(d^2 - e^2*x^2)^(3/2))");

}

// {(d + e*x)^5/(d^2 - e^2*x^2)^(7/2), x, 1, (d + e*x)^5/(5*d*e*(d^2 - e^2*x^2)^(5/2))}
public void test01262() {
	check("Integrate[(d + e*x)^5/(d^2 - e^2*x^2)^(7/2), x]", "(d + e*x)^5/(5*d*e*(d^2 - e^2*x^2)^(5/2))");

}

// {Sqrt[c*d^2 - c*e^2*x^2]/Sqrt[d + e*x], x, 1, (-2*(c*d^2 - c*e^2*x^2)^(3/2))/(3*c*e*(d + e*x)^(3/2))}
public void test01263() {
	check("Integrate[Sqrt[c*d^2 - c*e^2*x^2]/Sqrt[d + e*x], x]", "(-2*(c*d^2 - c*e^2*x^2)^(3/2))/(3*c*e*(d + e*x)^(3/2))");

}

// {(c*d^2 - c*e^2*x^2)^(3/2)/(d + e*x)^(3/2), x, 1, (-2*(c*d^2 - c*e^2*x^2)^(5/2))/(5*c*e*(d + e*x)^(5/2))}
public void test01264() {
	check("Integrate[(c*d^2 - c*e^2*x^2)^(3/2)/(d + e*x)^(3/2), x]", "(-2*(c*d^2 - c*e^2*x^2)^(5/2))/(5*c*e*(d + e*x)^(5/2))");

}

// {Sqrt[d + e*x]/Sqrt[c*d^2 - c*e^2*x^2], x, 1, (-2*Sqrt[c*d^2 - c*e^2*x^2])/(c*e*Sqrt[d + e*x])}
public void test01265() {
	check("Integrate[Sqrt[d + e*x]/Sqrt[c*d^2 - c*e^2*x^2], x]", "(-2*Sqrt[c*d^2 - c*e^2*x^2])/(c*e*Sqrt[d + e*x])");

}

// {(d + e*x)^(3/2)/(c*d^2 - c*e^2*x^2)^(3/2), x, 1, (2*Sqrt[d + e*x])/(c*e*Sqrt[c*d^2 - c*e^2*x^2])}
public void test01266() {
	check("Integrate[(d + e*x)^(3/2)/(c*d^2 - c*e^2*x^2)^(3/2), x]", "(2*Sqrt[d + e*x])/(c*e*Sqrt[c*d^2 - c*e^2*x^2])");

}

// {(12 - 3*e^2*x^2)^(1/4)/(2 + e*x)^(5/2), x, 1, -(3^(1/4)*(4 - e^2*x^2)^(5/4))/(5*e*(2 + e*x)^(5/2))}
public void test01267() {
	check("Integrate[(12 - 3*e^2*x^2)^(1/4)/(2 + e*x)^(5/2), x]", "-(3^(1/4)*(4 - e^2*x^2)^(5/4))/(5*e*(2 + e*x)^(5/2))");

}

// {1/((2 + e*x)^(3/2)*(12 - 3*e^2*x^2)^(1/4)), x, 1, -(4 - e^2*x^2)^(3/4)/(3*3^(1/4)*e*(2 + e*x)^(3/2))}
public void test01268() {
	check("Integrate[1/((2 + e*x)^(3/2)*(12 - 3*e^2*x^2)^(1/4)), x]", "-(4 - e^2*x^2)^(3/4)/(3*3^(1/4)*e*(2 + e*x)^(3/2))");

}

// {(1 - (e^2*x^2)/d^2)^p, x, 1, x*Hypergeometric2F1[1/2, -p, 3/2, (e^2*x^2)/d^2]}
public void test01269() {
	check("Integrate[(1 - (e^2*x^2)/d^2)^p, x]", "x*Hypergeometric2F1[1/2, -p, 3/2, (e^2*x^2)/d^2]");

}

// {c*d^2 + 2*c*d*e*x + c*e^2*x^2, x, 1, c*d^2*x + c*d*e*x^2 + (c*e^2*x^3)/3}
public void test01270() {
	check("Integrate[c*d^2 + 2*c*d*e*x + c*e^2*x^2, x]", "c*d^2*x + c*d*e*x^2 + (c*e^2*x^3)/3");

}

// {(d + e*x)*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2], x, 1, (c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2)/(3*c*e)}
public void test01271() {
	check("Integrate[(d + e*x)*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2], x]", "(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2)/(3*c*e)");

}

// {Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2], x, 1, ((d + e*x)*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2])/(2*e)}
public void test01272() {
	check("Integrate[Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2], x]", "((d + e*x)*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2])/(2*e)");

}

// {(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2), x, 1, (c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2)/(5*c*e)}
public void test01273() {
	check("Integrate[(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2), x]", "(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2)/(5*c*e)");

}

// {(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2), x, 1, ((d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2))/(4*e)}
public void test01274() {
	check("Integrate[(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2), x]", "((d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2))/(4*e)");

}

// {(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2), x, 1, (c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(7/2)/(7*c*e)}
public void test01275() {
	check("Integrate[(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2), x]", "(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(7/2)/(7*c*e)");

}

// {(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2), x, 1, ((d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2))/(6*e)}
public void test01276() {
	check("Integrate[(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2), x]", "((d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2))/(6*e)");

}

// {(d + e*x)/Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2], x, 1, Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2]/(c*e)}
public void test01277() {
	check("Integrate[(d + e*x)/Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2], x]", "Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2]/(c*e)");

}

// {(d + e*x)/(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2), x, 1, -(1/(c*e*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2]))}
public void test01278() {
	check("Integrate[(d + e*x)/(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2), x]", "-(1/(c*e*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2]))");

}

// {(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(-3/2), x, 1, -1/(2*c*e*(d + e*x)*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2])}
public void test01279() {
	check("Integrate[(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(-3/2), x]", "-1/(2*c*e*(d + e*x)*Sqrt[c*d^2 + 2*c*d*e*x + c*e^2*x^2])");

}

// {(d + e*x)/(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2), x, 1, -1/(3*c*e*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2))}
public void test01280() {
	check("Integrate[(d + e*x)/(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(5/2), x]", "-1/(3*c*e*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2))");

}

// {(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(-5/2), x, 1, -1/(4*c*e*(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2))}
public void test01281() {
	check("Integrate[(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(-5/2), x]", "-1/(4*c*e*(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(3/2))");

}

// {(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^p, x, 1, (c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(1 + p)/(2*c*e*(1 + p))}
public void test01282() {
	check("Integrate[(d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^p, x]", "(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^(1 + p)/(2*c*e*(1 + p))");

}

// {(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^p, x, 1, ((d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^p)/(e*(1 + 2*p))}
public void test01283() {
	check("Integrate[(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^p, x]", "((d + e*x)*(c*d^2 + 2*c*d*e*x + c*e^2*x^2)^p)/(e*(1 + 2*p))");

}

// {(b*d + 2*c*d*x)*(a + b*x + c*x^2), x, 1, (d*(a + b*x + c*x^2)^2)/2}
public void test01284() {
	check("Integrate[(b*d + 2*c*d*x)*(a + b*x + c*x^2), x]", "(d*(a + b*x + c*x^2)^2)/2");

}

// {(a + b*x + c*x^2)/(b*d + 2*c*d*x)^5, x, 1, (a + b*x + c*x^2)^2/(2*(b^2 - 4*a*c)*d^5*(b + 2*c*x)^4)}
public void test01285() {
	check("Integrate[(a + b*x + c*x^2)/(b*d + 2*c*d*x)^5, x]", "(a + b*x + c*x^2)^2/(2*(b^2 - 4*a*c)*d^5*(b + 2*c*x)^4)");

}

// {(b*d + 2*c*d*x)*(a + b*x + c*x^2)^2, x, 1, (d*(a + b*x + c*x^2)^3)/3}
public void test01286() {
	check("Integrate[(b*d + 2*c*d*x)*(a + b*x + c*x^2)^2, x]", "(d*(a + b*x + c*x^2)^3)/3");

}

// {(a + b*x + c*x^2)^2/(b*d + 2*c*d*x)^7, x, 1, (a + b*x + c*x^2)^3/(3*(b^2 - 4*a*c)*d^7*(b + 2*c*x)^6)}
public void test01287() {
	check("Integrate[(a + b*x + c*x^2)^2/(b*d + 2*c*d*x)^7, x]", "(a + b*x + c*x^2)^3/(3*(b^2 - 4*a*c)*d^7*(b + 2*c*x)^6)");

}

// {(b*d + 2*c*d*x)*(a + b*x + c*x^2)^3, x, 1, (d*(a + b*x + c*x^2)^4)/4}
public void test01288() {
	check("Integrate[(b*d + 2*c*d*x)*(a + b*x + c*x^2)^3, x]", "(d*(a + b*x + c*x^2)^4)/4");

}

// {(a + b*x + c*x^2)^3/(b*d + 2*c*d*x)^9, x, 1, (a + b*x + c*x^2)^4/(4*(b^2 - 4*a*c)*d^9*(b + 2*c*x)^8)}
public void test01289() {
	check("Integrate[(a + b*x + c*x^2)^3/(b*d + 2*c*d*x)^9, x]", "(a + b*x + c*x^2)^4/(4*(b^2 - 4*a*c)*d^9*(b + 2*c*x)^8)");

}

// {(b*d + 2*c*d*x)/(a + b*x + c*x^2), x, 1, d*Log[a + b*x + c*x^2]}
public void test01290() {
	check("Integrate[(b*d + 2*c*d*x)/(a + b*x + c*x^2), x]", "d*Log[a + b*x + c*x^2]");

}

// {(b*d + 2*c*d*x)/(a + b*x + c*x^2)^2, x, 1, -(d/(a + b*x + c*x^2))}
public void test01291() {
	check("Integrate[(b*d + 2*c*d*x)/(a + b*x + c*x^2)^2, x]", "-(d/(a + b*x + c*x^2))");

}

// {(b*d + 2*c*d*x)^3/(a + b*x + c*x^2)^3, x, 1, -(d^3*(b + 2*c*x)^4)/(2*(b^2 - 4*a*c)*(a + b*x + c*x^2)^2)}
public void test01292() {
	check("Integrate[(b*d + 2*c*d*x)^3/(a + b*x + c*x^2)^3, x]", "-(d^3*(b + 2*c*x)^4)/(2*(b^2 - 4*a*c)*(a + b*x + c*x^2)^2)");

}

// {(b*d + 2*c*d*x)/(a + b*x + c*x^2)^3, x, 1, -d/(2*(a + b*x + c*x^2)^2)}
public void test01293() {
	check("Integrate[(b*d + 2*c*d*x)/(a + b*x + c*x^2)^3, x]", "-d/(2*(a + b*x + c*x^2)^2)");

}

// {(b*d + 2*c*d*x)*Sqrt[a + b*x + c*x^2], x, 1, (2*d*(a + b*x + c*x^2)^(3/2))/3}
public void test01294() {
	check("Integrate[(b*d + 2*c*d*x)*Sqrt[a + b*x + c*x^2], x]", "(2*d*(a + b*x + c*x^2)^(3/2))/3");

}

// {Sqrt[a + b*x + c*x^2]/(b*d + 2*c*d*x)^4, x, 1, (2*(a + b*x + c*x^2)^(3/2))/(3*(b^2 - 4*a*c)*d^4*(b + 2*c*x)^3)}
public void test01295() {
	check("Integrate[Sqrt[a + b*x + c*x^2]/(b*d + 2*c*d*x)^4, x]", "(2*(a + b*x + c*x^2)^(3/2))/(3*(b^2 - 4*a*c)*d^4*(b + 2*c*x)^3)");

}

// {(b*d + 2*c*d*x)*(a + b*x + c*x^2)^(3/2), x, 1, (2*d*(a + b*x + c*x^2)^(5/2))/5}
public void test01296() {
	check("Integrate[(b*d + 2*c*d*x)*(a + b*x + c*x^2)^(3/2), x]", "(2*d*(a + b*x + c*x^2)^(5/2))/5");

}

// {(a + b*x + c*x^2)^(3/2)/(b*d + 2*c*d*x)^6, x, 1, (2*(a + b*x + c*x^2)^(5/2))/(5*(b^2 - 4*a*c)*d^6*(b + 2*c*x)^5)}
public void test01297() {
	check("Integrate[(a + b*x + c*x^2)^(3/2)/(b*d + 2*c*d*x)^6, x]", "(2*(a + b*x + c*x^2)^(5/2))/(5*(b^2 - 4*a*c)*d^6*(b + 2*c*x)^5)");

}

// {(b*d + 2*c*d*x)*(a + b*x + c*x^2)^(5/2), x, 1, (2*d*(a + b*x + c*x^2)^(7/2))/7}
public void test01298() {
	check("Integrate[(b*d + 2*c*d*x)*(a + b*x + c*x^2)^(5/2), x]", "(2*d*(a + b*x + c*x^2)^(7/2))/7");

}

// {(a + b*x + c*x^2)^(5/2)/(b*d + 2*c*d*x)^8, x, 1, (2*(a + b*x + c*x^2)^(7/2))/(7*(b^2 - 4*a*c)*d^8*(b + 2*c*x)^7)}
public void test01299() {
	check("Integrate[(a + b*x + c*x^2)^(5/2)/(b*d + 2*c*d*x)^8, x]", "(2*(a + b*x + c*x^2)^(7/2))/(7*(b^2 - 4*a*c)*d^8*(b + 2*c*x)^7)");

}

// {(b*d + 2*c*d*x)/Sqrt[a + b*x + c*x^2], x, 1, 2*d*Sqrt[a + b*x + c*x^2]}
public void test01300() {
	check("Integrate[(b*d + 2*c*d*x)/Sqrt[a + b*x + c*x^2], x]", "2*d*Sqrt[a + b*x + c*x^2]");

}

// {1/((b*d + 2*c*d*x)^2*Sqrt[a + b*x + c*x^2]), x, 1, (2*Sqrt[a + b*x + c*x^2])/((b^2 - 4*a*c)*d^2*(b + 2*c*x))}
public void test01301() {
	check("Integrate[1/((b*d + 2*c*d*x)^2*Sqrt[a + b*x + c*x^2]), x]", "(2*Sqrt[a + b*x + c*x^2])/((b^2 - 4*a*c)*d^2*(b + 2*c*x))");

}

// {(b*d + 2*c*d*x)/(a + b*x + c*x^2)^(3/2), x, 1, (-2*d)/Sqrt[a + b*x + c*x^2]}
public void test01302() {
	check("Integrate[(b*d + 2*c*d*x)/(a + b*x + c*x^2)^(3/2), x]", "(-2*d)/Sqrt[a + b*x + c*x^2]");

}

// {(b*d + 2*c*d*x)^2/(a + b*x + c*x^2)^(5/2), x, 1, (-2*d^2*(b + 2*c*x)^3)/(3*(b^2 - 4*a*c)*(a + b*x + c*x^2)^(3/2))}
public void test01303() {
	check("Integrate[(b*d + 2*c*d*x)^2/(a + b*x + c*x^2)^(5/2), x]", "(-2*d^2*(b + 2*c*x)^3)/(3*(b^2 - 4*a*c)*(a + b*x + c*x^2)^(3/2))");

}

// {(b*d + 2*c*d*x)/(a + b*x + c*x^2)^(5/2), x, 1, (-2*d)/(3*(a + b*x + c*x^2)^(3/2))}
public void test01304() {
	check("Integrate[(b*d + 2*c*d*x)/(a + b*x + c*x^2)^(5/2), x]", "(-2*d)/(3*(a + b*x + c*x^2)^(3/2))");

}

// {(a + b*x + c*x^2)^(4/3)/(b*d + 2*c*d*x)^(17/3), x, 1, (3*(a + b*x + c*x^2)^(7/3))/(7*(b^2 - 4*a*c)*d*(b*d + 2*c*d*x)^(14/3))}
public void test01305() {
	check("Integrate[(a + b*x + c*x^2)^(4/3)/(b*d + 2*c*d*x)^(17/3), x]", "(3*(a + b*x + c*x^2)^(7/3))/(7*(b^2 - 4*a*c)*d*(b*d + 2*c*d*x)^(14/3))");

}

// {(b*d + 2*c*d*x)*(a + b*x + c*x^2)^p, x, 1, (d*(a + b*x + c*x^2)^(1 + p))/(1 + p)}
public void test01306() {
	check("Integrate[(b*d + 2*c*d*x)*(a + b*x + c*x^2)^p, x]", "(d*(a + b*x + c*x^2)^(1 + p))/(1 + p)");

}

// {(1 + x)/(-3 + 2*x + x^2)^(2/3), x, 1, (3*(-3 + 2*x + x^2)^(1/3))/2}
public void test01307() {
	check("Integrate[(1 + x)/(-3 + 2*x + x^2)^(2/3), x]", "(3*(-3 + 2*x + x^2)^(1/3))/2");

}

// {(b + c*x)/(a + 2*b*x + c*x^2)^(3/7), x, 1, (7*(a + 2*b*x + c*x^2)^(4/7))/8}
public void test01308() {
	check("Integrate[(b + c*x)/(a + 2*b*x + c*x^2)^(3/7), x]", "(7*(a + 2*b*x + c*x^2)^(4/7))/8");

}

// {a^2 + 2*a*b*x + b^2*x^2, x, 1, a^2*x + a*b*x^2 + (b^2*x^3)/3}
public void test01309() {
	check("Integrate[a^2 + 2*a*b*x + b^2*x^2, x]", "a^2*x + a*b*x^2 + (b^2*x^3)/3");

}

// {Sqrt[a^2 + 2*a*b*x + b^2*x^2], x, 1, ((a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])/(2*b)}
public void test01310() {
	check("Integrate[Sqrt[a^2 + 2*a*b*x + b^2*x^2], x]", "((a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])/(2*b)");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x, 1, ((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))/(4*b)}
public void test01311() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x]", "((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))/(4*b)");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x, 1, ((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2))/(6*b)}
public void test01312() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x]", "((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2))/(6*b)");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(-3/2), x, 1, -1/(2*b*(a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])}
public void test01313() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(-3/2), x]", "-1/(2*b*(a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^(-5/2), x, 1, -1/(4*b*(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))}
public void test01314() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^(-5/2), x]", "-1/(4*b*(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))");

}

// {(a^2 + 2*a*b*x + b^2*x^2)^p, x, 1, ((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^p)/(b*(1 + 2*p))}
public void test01315() {
	check("Integrate[(a^2 + 2*a*b*x + b^2*x^2)^p, x]", "((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^p)/(b*(1 + 2*p))");

}

// {a*c + (b*c + a*d)*x + b*d*x^2, x, 1, a*c*x + ((b*c + a*d)*x^2)/2 + (b*d*x^3)/3}
public void test01316() {
	check("Integrate[a*c + (b*c + a*d)*x + b*d*x^2, x]", "a*c*x + ((b*c + a*d)*x^2)/2 + (b*d*x^3)/3");

}

// {a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2, x, 1, a*d*e*x + ((c*d^2 + a*e^2)*x^2)/2 + (c*d*e*x^3)/3}
public void test01317() {
	check("Integrate[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2, x]", "a*d*e*x + ((c*d^2 + a*e^2)*x^2)/2 + (c*d*e*x^3)/3");

}

// {Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/(d + e*x)^3, x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*(c*d^2 - a*e^2)*(d + e*x)^3)}
public void test01318() {
	check("Integrate[Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/(d + e*x)^3, x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*(c*d^2 - a*e^2)*(d + e*x)^3)");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/(d + e*x)^5, x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*(c*d^2 - a*e^2)*(d + e*x)^5)}
public void test01319() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/(d + e*x)^5, x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*(c*d^2 - a*e^2)*(d + e*x)^5)");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/(d + e*x)^7, x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*(c*d^2 - a*e^2)*(d + e*x)^7)}
public void test01320() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/(d + e*x)^7, x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*(c*d^2 - a*e^2)*(d + e*x)^7)");

}

// {1/((d + e*x)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]), x, 1, (2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/((c*d^2 - a*e^2)*(d + e*x))}
public void test01321() {
	check("Integrate[1/((d + e*x)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]), x]", "(2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/((c*d^2 - a*e^2)*(d + e*x))");

}

// {(d + e*x)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2), x, 1, (-2*(d + e*x))/((c*d^2 - a*e^2)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])}
public void test01322() {
	check("Integrate[(d + e*x)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2), x]", "(-2*(d + e*x))/((c*d^2 - a*e^2)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(-3/2), x, 1, (-2*(c*d^2 + a*e^2 + 2*c*d*e*x))/((c*d^2 - a*e^2)^2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])}
public void test01323() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(-3/2), x]", "(-2*(c*d^2 + a*e^2 + 2*c*d*e*x))/((c*d^2 - a*e^2)^2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])");

}

// {(d + e*x)^3/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x, 1, (-2*(d + e*x)^3)/(3*(c*d^2 - a*e^2)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))}
public void test01324() {
	check("Integrate[(d + e*x)^3/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x]", "(-2*(d + e*x)^3)/(3*(c*d^2 - a*e^2)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))");

}

// {Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/Sqrt[d + e*x], x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*c*d*(d + e*x)^(3/2))}
public void test01325() {
	check("Integrate[Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/Sqrt[d + e*x], x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*c*d*(d + e*x)^(3/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/(d + e*x)^(3/2), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*c*d*(d + e*x)^(5/2))}
public void test01326() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/(d + e*x)^(3/2), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*c*d*(d + e*x)^(5/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/(d + e*x)^(5/2), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*c*d*(d + e*x)^(7/2))}
public void test01327() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/(d + e*x)^(5/2), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*c*d*(d + e*x)^(7/2))");

}

// {Sqrt[d + e*x]/Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2], x, 1, (2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/(c*d*Sqrt[d + e*x])}
public void test01328() {
	check("Integrate[Sqrt[d + e*x]/Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2], x]", "(2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/(c*d*Sqrt[d + e*x])");

}

// {(d + e*x)^(3/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2), x, 1, (-2*Sqrt[d + e*x])/(c*d*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])}
public void test01329() {
	check("Integrate[(d + e*x)^(3/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2), x]", "(-2*Sqrt[d + e*x])/(c*d*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])");

}

// {(d + e*x)^(5/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x, 1, (-2*(d + e*x)^(3/2))/(3*c*d*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))}
public void test01330() {
	check("Integrate[(d + e*x)^(5/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x]", "(-2*(d + e*x)^(3/2))/(3*c*d*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^p, x, 1, -(((-((e*(a*e + c*d*x))/(c*d^2 - a*e^2)))^(-1 - p)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (c*d*(d + e*x))/(c*d^2 - a*e^2)])/((c*d^2 - a*e^2)*(1 + p)))}
public void test01331() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^p, x]", "-(((-((e*(a*e + c*d*x))/(c*d^2 - a*e^2)))^(-1 - p)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (c*d*(d + e*x))/(c*d^2 - a*e^2)])/((c*d^2 - a*e^2)*(1 + p)))");

}

// {(d + e*x)^(-2 - 2*p)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^p, x, 1, (a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 + p)/((c*d^2 - a*e^2)*(1 + p)*(d + e*x)^(2*(1 + p)))}
public void test01332() {
	check("Integrate[(d + e*x)^(-2 - 2*p)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^p, x]", "(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 + p)/((c*d^2 - a*e^2)*(1 + p)*(d + e*x)^(2*(1 + p)))");

}

// {(d + e*x)^m/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^m, x, 1, ((d + e*x)^(-1 + m)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 - m))/(c*d*(1 - m))}
public void test01333() {
	check("Integrate[(d + e*x)^m/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^m, x]", "((d + e*x)^(-1 + m)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 - m))/(c*d*(1 - m))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^p/(d + e*x)^p, x, 1, ((d + e*x)^(-1 - p)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 + p))/(c*d*(1 + p))}
public void test01334() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^p/(d + e*x)^p, x]", "((d + e*x)^(-1 - p)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 + p))/(c*d*(1 + p))");

}

// {a + b*x + c*x^2, x, 1, a*x + (b*x^2)/2 + (c*x^3)/3}
public void test01335() {
	check("Integrate[a + b*x + c*x^2, x]", "a*x + (b*x^2)/2 + (c*x^3)/3");

}

// {(d + e*x)/(a + b*x + c*x^2)^(3/2), x, 1, (-2*(b*d - 2*a*e + (2*c*d - b*e)*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])}
public void test01336() {
	check("Integrate[(d + e*x)/(a + b*x + c*x^2)^(3/2), x]", "(-2*(b*d - 2*a*e + (2*c*d - b*e)*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])");

}

// {(a + b*x + c*x^2)^(-3/2), x, 1, (-2*(b + 2*c*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])}
public void test01337() {
	check("Integrate[(a + b*x + c*x^2)^(-3/2), x]", "(-2*(b + 2*c*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])");

}

// {(1 + x)/(2 + 3*x + x^2)^(3/2), x, 1, (2*(1 + x))/Sqrt[2 + 3*x + x^2]}
public void test01338() {
	check("Integrate[(1 + x)/(2 + 3*x + x^2)^(3/2), x]", "(2*(1 + x))/Sqrt[2 + 3*x + x^2]");

}

// {1/((d + e*x)*Sqrt[(-(c*d^2) + b*d*e)/e^2 + b*x + c*x^2]), x, 1, (2*e*Sqrt[-((d*(c*d - b*e))/e^2) + b*x + c*x^2])/((2*c*d - b*e)*(d + e*x))}
public void test01339() {
	check("Integrate[1/((d + e*x)*Sqrt[(-(c*d^2) + b*d*e)/e^2 + b*x + c*x^2]), x]", "(2*e*Sqrt[-((d*(c*d - b*e))/e^2) + b*x + c*x^2])/((2*c*d - b*e)*(d + e*x))");

}

// {1/((d + e*x)*(c^2*d^2 - b*c*d*e + b^2*e^2 + 3*b*c*e^2*x + 3*c^2*e^2*x^2)^(1/3)), x, 1, -(ArcTan[1/Sqrt[3] + (2*(c*d - b*e - c*e*x))/(Sqrt[3]*(2*c*d - b*e)^(1/3)*(c^2*d^2 - b*c*d*e + b^2*e^2 + 3*b*c*e^2*x + 3*c^2*e^2*x^2)^(1/3))]/(Sqrt[3]*e*(2*c*d - b*e)^(2/3))) - Log[d + e*x]/(2*e*(2*c*d - b*e)^(2/3)) + Log[3*c*e^2*(c*d - b*e) - 3*c^2*e^3*x - 3*c*e^2*(2*c*d - b*e)^(1/3)*(c^2*d^2 - b*c*d*e + b^2*e^2 + 3*b*c*e^2*x + 3*c^2*e^2*x^2)^(1/3)]/(2*e*(2*c*d - b*e)^(2/3))}
public void test01340() {
	check("Integrate[1/((d + e*x)*(c^2*d^2 - b*c*d*e + b^2*e^2 + 3*b*c*e^2*x + 3*c^2*e^2*x^2)^(1/3)), x]", "-(ArcTan[1/Sqrt[3] + (2*(c*d - b*e - c*e*x))/(Sqrt[3]*(2*c*d - b*e)^(1/3)*(c^2*d^2 - b*c*d*e + b^2*e^2 + 3*b*c*e^2*x + 3*c^2*e^2*x^2)^(1/3))]/(Sqrt[3]*e*(2*c*d - b*e)^(2/3))) - Log[d + e*x]/(2*e*(2*c*d - b*e)^(2/3)) + Log[3*c*e^2*(c*d - b*e) - 3*c^2*e^3*x - 3*c*e^2*(2*c*d - b*e)^(1/3)*(c^2*d^2 - b*c*d*e + b^2*e^2 + 3*b*c*e^2*x + 3*c^2*e^2*x^2)^(1/3)]/(2*e*(2*c*d - b*e)^(2/3))");

}

// {1/((2 + 3*x)*(52 - 54*x + 27*x^2)^(1/3)), x, 1, -ArcTan[1/Sqrt[3] + (2^(2/3)*(8 - 3*x))/(Sqrt[3]*5^(1/3)*(52 - 54*x + 27*x^2)^(1/3))]/(3*Sqrt[3]*10^(2/3)) - Log[2 + 3*x]/(6*10^(2/3)) + Log[216 - 81*x - 27*10^(1/3)*(52 - 54*x + 27*x^2)^(1/3)]/(6*10^(2/3))}
public void test01341() {
	check("Integrate[1/((2 + 3*x)*(52 - 54*x + 27*x^2)^(1/3)), x]", "-ArcTan[1/Sqrt[3] + (2^(2/3)*(8 - 3*x))/(Sqrt[3]*5^(1/3)*(52 - 54*x + 27*x^2)^(1/3))]/(3*Sqrt[3]*10^(2/3)) - Log[2 + 3*x]/(6*10^(2/3)) + Log[216 - 81*x - 27*10^(1/3)*(52 - 54*x + 27*x^2)^(1/3)]/(6*10^(2/3))");

}

// {1/((2 + 3*x)*(28 + 54*x + 27*x^2)^(1/3)), x, 1, -ArcTan[1/Sqrt[3] + (2^(2/3)*(4 + 3*x))/(Sqrt[3]*(28 + 54*x + 27*x^2)^(1/3))]/(3*2^(2/3)*Sqrt[3]) - Log[2 + 3*x]/(6*2^(2/3)) + Log[-108 - 81*x + 27*2^(1/3)*(28 + 54*x + 27*x^2)^(1/3)]/(6*2^(2/3))}
public void test01342() {
	check("Integrate[1/((2 + 3*x)*(28 + 54*x + 27*x^2)^(1/3)), x]", "-ArcTan[1/Sqrt[3] + (2^(2/3)*(4 + 3*x))/(Sqrt[3]*(28 + 54*x + 27*x^2)^(1/3))]/(3*2^(2/3)*Sqrt[3]) - Log[2 + 3*x]/(6*2^(2/3)) + Log[-108 - 81*x + 27*2^(1/3)*(28 + 54*x + 27*x^2)^(1/3)]/(6*2^(2/3))");

}

// {1/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/4)), x, 1, (2*(b - Sqrt[b^2 - 4*a*c] + 2*c*x)*(((2*c*d - (b - Sqrt[b^2 - 4*a*c])*e)*(b + Sqrt[b^2 - 4*a*c] + 2*c*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x)))^(1/4)*Hypergeometric2F1[-1/2, 1/4, 1/2, (-4*c*Sqrt[b^2 - 4*a*c]*(d + e*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x))])/((2*c*d - b*e + Sqrt[b^2 - 4*a*c]*e)*Sqrt[d + e*x]*(a + b*x + c*x^2)^(1/4))}
public void test01343() {
	check("Integrate[1/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/4)), x]", "(2*(b - Sqrt[b^2 - 4*a*c] + 2*c*x)*(((2*c*d - (b - Sqrt[b^2 - 4*a*c])*e)*(b + Sqrt[b^2 - 4*a*c] + 2*c*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x)))^(1/4)*Hypergeometric2F1[-1/2, 1/4, 1/2, (-4*c*Sqrt[b^2 - 4*a*c]*(d + e*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x))])/((2*c*d - b*e + Sqrt[b^2 - 4*a*c]*e)*Sqrt[d + e*x]*(a + b*x + c*x^2)^(1/4))");

}

// {(a + b*x + c*x^2)^p, x, 1, -((2^(1 + p)*(-((b - Sqrt[b^2 - 4*a*c] + 2*c*x)/Sqrt[b^2 - 4*a*c]))^(-1 - p)*(a + b*x + c*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (b + Sqrt[b^2 - 4*a*c] + 2*c*x)/(2*Sqrt[b^2 - 4*a*c])])/(Sqrt[b^2 - 4*a*c]*(1 + p)))}
public void test01344() {
	check("Integrate[(a + b*x + c*x^2)^p, x]", "-((2^(1 + p)*(-((b - Sqrt[b^2 - 4*a*c] + 2*c*x)/Sqrt[b^2 - 4*a*c]))^(-1 - p)*(a + b*x + c*x^2)^(1 + p)*Hypergeometric2F1[-p, 1 + p, 2 + p, (b + Sqrt[b^2 - 4*a*c] + 2*c*x)/(2*Sqrt[b^2 - 4*a*c])])/(Sqrt[b^2 - 4*a*c]*(1 + p)))");

}

// {(d + e*x)^(-2 - 2*p)*(a + b*x + c*x^2)^p, x, 1, ((b - Sqrt[b^2 - 4*a*c] + 2*c*x)*(d + e*x)^(-1 - 2*p)*(a + b*x + c*x^2)^p*Hypergeometric2F1[-1 - 2*p, -p, -2*p, (-4*c*Sqrt[b^2 - 4*a*c]*(d + e*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x))])/((2*c*d - (b - Sqrt[b^2 - 4*a*c])*e)*(1 + 2*p)*(((2*c*d - (b - Sqrt[b^2 - 4*a*c])*e)*(b + Sqrt[b^2 - 4*a*c] + 2*c*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x)))^p)}
public void test01345() {
	check("Integrate[(d + e*x)^(-2 - 2*p)*(a + b*x + c*x^2)^p, x]", "((b - Sqrt[b^2 - 4*a*c] + 2*c*x)*(d + e*x)^(-1 - 2*p)*(a + b*x + c*x^2)^p*Hypergeometric2F1[-1 - 2*p, -p, -2*p, (-4*c*Sqrt[b^2 - 4*a*c]*(d + e*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x))])/((2*c*d - (b - Sqrt[b^2 - 4*a*c])*e)*(1 + 2*p)*(((2*c*d - (b - Sqrt[b^2 - 4*a*c])*e)*(b + Sqrt[b^2 - 4*a*c] + 2*c*x))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b - Sqrt[b^2 - 4*a*c] + 2*c*x)))^p)");

}

// {(A + B*x)/(b*x + c*x^2)^(3/2), x, 1, (-2*(A*b - (b*B - 2*A*c)*x))/(b^2*Sqrt[b*x + c*x^2])}
public void test01346() {
	check("Integrate[(A + B*x)/(b*x + c*x^2)^(3/2), x]", "(-2*(A*b - (b*B - 2*A*c)*x))/(b^2*Sqrt[b*x + c*x^2])");

}

// {x^(1 + p)*(2*b + 3*c*x)*(b*x + c*x^2)^p, x, 1, (x^(1 + p)*(b*x + c*x^2)^(1 + p))/(1 + p)}
public void test01347() {
	check("Integrate[x^(1 + p)*(2*b + 3*c*x)*(b*x + c*x^2)^p, x]", "(x^(1 + p)*(b*x + c*x^2)^(1 + p))/(1 + p)");

}

// {(A + B*x)/(a + c*x^2)^(3/2), x, 1, -((a*B - A*c*x)/(a*c*Sqrt[a + c*x^2]))}
public void test01348() {
	check("Integrate[(A + B*x)/(a + c*x^2)^(3/2), x]", "-((a*B - A*c*x)/(a*c*Sqrt[a + c*x^2]))");

}

// {(5 + 2*x)/(4 + 5*x + x^2), x, 1, Log[4 + 5*x + x^2]}
public void test01349() {
	check("Integrate[(5 + 2*x)/(4 + 5*x + x^2), x]", "Log[4 + 5*x + x^2]");

}

// {(3 + 2*x)/(13 + 12*x + 4*x^2)^2, x, 1, -1/(4*(13 + 12*x + 4*x^2))}
public void test01350() {
	check("Integrate[(3 + 2*x)/(13 + 12*x + 4*x^2)^2, x]", "-1/(4*(13 + 12*x + 4*x^2))");

}

// {(A + B*x)^(-1), x, 1, Log[A + B*x]/B}
public void test01351() {
	check("Integrate[(A + B*x)^(-1), x]", "Log[A + B*x]/B");

}

// {(A + B*x)/(a + b*x + c*x^2)^(3/2), x, 1, (-2*(A*b - 2*a*B - (b*B - 2*A*c)*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])}
public void test01352() {
	check("Integrate[(A + B*x)/(a + b*x + c*x^2)^(3/2), x]", "(-2*(A*b - 2*a*B - (b*B - 2*A*c)*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])");

}

// {(A + B*x)/(b*x + c*x^2)^(3/2), x, 1, (-2*(A*b - (b*B - 2*A*c)*x))/(b^2*Sqrt[b*x + c*x^2])}
public void test01353() {
	check("Integrate[(A + B*x)/(b*x + c*x^2)^(3/2), x]", "(-2*(A*b - (b*B - 2*A*c)*x))/(b^2*Sqrt[b*x + c*x^2])");

}

// {(5 - x)/(2 + 3*x^2)^(3/2), x, 1, (2 + 15*x)/(6*Sqrt[2 + 3*x^2])}
public void test01354() {
	check("Integrate[(5 - x)/(2 + 3*x^2)^(3/2), x]", "(2 + 15*x)/(6*Sqrt[2 + 3*x^2])");

}

// {(-(a*e) + c*d*x)*(d + e*x)^(-3 - 2*p)*(a + c*x^2)^p, x, 1, (a + c*x^2)^(1 + p)/(2*(1 + p)*(d + e*x)^(2*(1 + p)))}
public void test01355() {
	check("Integrate[(-(a*e) + c*d*x)*(d + e*x)^(-3 - 2*p)*(a + c*x^2)^p, x]", "(a + c*x^2)^(1 + p)/(2*(1 + p)*(d + e*x)^(2*(1 + p)))");

}

// {(b + 2*c*x)*(a + b*x + c*x^2), x, 1, (a + b*x + c*x^2)^2/2}
public void test01356() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2), x]", "(a + b*x + c*x^2)^2/2");

}

// {(b + 2*c*x)*(a + b*x + c*x^2)^2, x, 1, (a + b*x + c*x^2)^3/3}
public void test01357() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2)^2, x]", "(a + b*x + c*x^2)^3/3");

}

// {(b + 2*c*x)*(a + b*x + c*x^2)^3, x, 1, (a + b*x + c*x^2)^4/4}
public void test01358() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2)^3, x]", "(a + b*x + c*x^2)^4/4");

}

// {(b + 2*c*x)/(a + b*x + c*x^2), x, 1, Log[a + b*x + c*x^2]}
public void test01359() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2), x]", "Log[a + b*x + c*x^2]");

}

// {(b + 2*c*x)/(a + b*x + c*x^2)^2, x, 1, -(a + b*x + c*x^2)^(-1)}
public void test01360() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2)^2, x]", "-(a + b*x + c*x^2)^(-1)");

}

// {(b + 2*c*x)/(a + b*x + c*x^2)^3, x, 1, -1/(2*(a + b*x + c*x^2)^2)}
public void test01361() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2)^3, x]", "-1/(2*(a + b*x + c*x^2)^2)");

}

// {(b + 2*c*x)*Sqrt[a + b*x + c*x^2], x, 1, (2*(a + b*x + c*x^2)^(3/2))/3}
public void test01362() {
	check("Integrate[(b + 2*c*x)*Sqrt[a + b*x + c*x^2], x]", "(2*(a + b*x + c*x^2)^(3/2))/3");

}

// {(b + 2*c*x)*(a + b*x + c*x^2)^(3/2), x, 1, (2*(a + b*x + c*x^2)^(5/2))/5}
public void test01363() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2)^(3/2), x]", "(2*(a + b*x + c*x^2)^(5/2))/5");

}

// {(b + 2*c*x)*(a + b*x + c*x^2)^(5/2), x, 1, (2*(a + b*x + c*x^2)^(7/2))/7}
public void test01364() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2)^(5/2), x]", "(2*(a + b*x + c*x^2)^(7/2))/7");

}

// {(b + 2*c*x)/Sqrt[a + b*x + c*x^2], x, 1, 2*Sqrt[a + b*x + c*x^2]}
public void test01365() {
	check("Integrate[(b + 2*c*x)/Sqrt[a + b*x + c*x^2], x]", "2*Sqrt[a + b*x + c*x^2]");

}

// {(b + 2*c*x)/(a + b*x + c*x^2)^(3/2), x, 1, -2/Sqrt[a + b*x + c*x^2]}
public void test01366() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2)^(3/2), x]", "-2/Sqrt[a + b*x + c*x^2]");

}

// {(b + 2*c*x)/(a + b*x + c*x^2)^(5/2), x, 1, -2/(3*(a + b*x + c*x^2)^(3/2))}
public void test01367() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2)^(5/2), x]", "-2/(3*(a + b*x + c*x^2)^(3/2))");

}

// {(a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2], x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(3/2)/(3*b)}
public void test01368() {
	check("Integrate[(a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2], x]", "(a^2 + 2*a*b*x + b^2*x^2)^(3/2)/(3*b)");

}

// {((a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])/(d + e*x)^4, x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(3/2)/(3*(b*d - a*e)*(d + e*x)^3)}
public void test01369() {
	check("Integrate[((a + b*x)*Sqrt[a^2 + 2*a*b*x + b^2*x^2])/(d + e*x)^4, x]", "(a^2 + 2*a*b*x + b^2*x^2)^(3/2)/(3*(b*d - a*e)*(d + e*x)^3)");

}

// {(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(5/2)/(5*b)}
public void test01370() {
	check("Integrate[(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x]", "(a^2 + 2*a*b*x + b^2*x^2)^(5/2)/(5*b)");

}

// {((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))/(d + e*x)^6, x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(5/2)/(5*(b*d - a*e)*(d + e*x)^5)}
public void test01371() {
	check("Integrate[((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))/(d + e*x)^6, x]", "(a^2 + 2*a*b*x + b^2*x^2)^(5/2)/(5*(b*d - a*e)*(d + e*x)^5)");

}

// {(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(7/2)/(7*b)}
public void test01372() {
	check("Integrate[(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x]", "(a^2 + 2*a*b*x + b^2*x^2)^(7/2)/(7*b)");

}

// {((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2))/(d + e*x)^8, x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(7/2)/(7*(b*d - a*e)*(d + e*x)^7)}
public void test01373() {
	check("Integrate[((a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^(5/2))/(d + e*x)^8, x]", "(a^2 + 2*a*b*x + b^2*x^2)^(7/2)/(7*(b*d - a*e)*(d + e*x)^7)");

}

// {(a + b*x)/Sqrt[a^2 + 2*a*b*x + b^2*x^2], x, 1, Sqrt[a^2 + 2*a*b*x + b^2*x^2]/b}
public void test01374() {
	check("Integrate[(a + b*x)/Sqrt[a^2 + 2*a*b*x + b^2*x^2], x]", "Sqrt[a^2 + 2*a*b*x + b^2*x^2]/b");

}

// {(a + b*x)/((d + e*x)^2*Sqrt[a^2 + 2*a*b*x + b^2*x^2]), x, 1, Sqrt[a^2 + 2*a*b*x + b^2*x^2]/((b*d - a*e)*(d + e*x))}
public void test01375() {
	check("Integrate[(a + b*x)/((d + e*x)^2*Sqrt[a^2 + 2*a*b*x + b^2*x^2]), x]", "Sqrt[a^2 + 2*a*b*x + b^2*x^2]/((b*d - a*e)*(d + e*x))");

}

// {(a + b*x)/(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x, 1, -(1/(b*Sqrt[a^2 + 2*a*b*x + b^2*x^2]))}
public void test01376() {
	check("Integrate[(a + b*x)/(a^2 + 2*a*b*x + b^2*x^2)^(3/2), x]", "-(1/(b*Sqrt[a^2 + 2*a*b*x + b^2*x^2]))");

}

// {((a + b*x)*(d + e*x)^2)/(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x, 1, -(d + e*x)^3/(3*(b*d - a*e)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))}
public void test01377() {
	check("Integrate[((a + b*x)*(d + e*x)^2)/(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x]", "-(d + e*x)^3/(3*(b*d - a*e)*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))");

}

// {(a + b*x)/(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x, 1, -1/(3*b*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))}
public void test01378() {
	check("Integrate[(a + b*x)/(a^2 + 2*a*b*x + b^2*x^2)^(5/2), x]", "-1/(3*b*(a^2 + 2*a*b*x + b^2*x^2)^(3/2))");

}

// {(a*c + b*c*x)*(d + e*x)^(-3 - 2*p)*(a^2 + 2*a*b*x + b^2*x^2)^p, x, 1, (c*(a^2 + 2*a*b*x + b^2*x^2)^(1 + p))/(2*(b*d - a*e)*(1 + p)*(d + e*x)^(2*(1 + p)))}
public void test01379() {
	check("Integrate[(a*c + b*c*x)*(d + e*x)^(-3 - 2*p)*(a^2 + 2*a*b*x + b^2*x^2)^p, x]", "(c*(a^2 + 2*a*b*x + b^2*x^2)^(1 + p))/(2*(b*d - a*e)*(1 + p)*(d + e*x)^(2*(1 + p)))");

}

// {(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^p, x, 1, (a^2 + 2*a*b*x + b^2*x^2)^(1 + p)/(2*b*(1 + p))}
public void test01380() {
	check("Integrate[(a + b*x)*(a^2 + 2*a*b*x + b^2*x^2)^p, x]", "(a^2 + 2*a*b*x + b^2*x^2)^(1 + p)/(2*b*(1 + p))");

}

// {(d + e*x)^m*(c*d*m - b*e*(1 + m + p) - c*e*(2 + m + 2*p)*x)*(c*d^2 - b*d*e - b*e^2*x - c*e^2*x^2)^p, x, 1, ((d + e*x)^m*(d*(c*d - b*e) - b*e^2*x - c*e^2*x^2)^(1 + p))/e}
public void test01381() {
	check("Integrate[(d + e*x)^m*(c*d*m - b*e*(1 + m + p) - c*e*(2 + m + 2*p)*x)*(c*d^2 - b*d*e - b*e^2*x - c*e^2*x^2)^p, x]", "((d + e*x)^m*(d*(c*d - b*e) - b*e^2*x - c*e^2*x^2)^(1 + p))/e");

}

// {(d + e*x)^(-3 - 2*p)*(f + g*x)*(d*(e*f + d*g + d*g*p) + e*(e*f + 3*d*g + 2*d*g*p)*x + e^2*g*(2 + p)*x^2)^p, x, 1, -(((d + e*x)^(-3 - 2*p)*(d*(e*f + d*g*(1 + p)) + e*(e*f + d*g*(3 + 2*p))*x + e^2*g*(2 + p)*x^2)^(1 + p))/(e^2*(2 + p)))}
public void test01382() {
	check("Integrate[(d + e*x)^(-3 - 2*p)*(f + g*x)*(d*(e*f + d*g + d*g*p) + e*(e*f + 3*d*g + 2*d*g*p)*x + e^2*g*(2 + p)*x^2)^p, x]", "-(((d + e*x)^(-3 - 2*p)*(d*(e*f + d*g*(1 + p)) + e*(e*f + d*g*(3 + 2*p))*x + e^2*g*(2 + p)*x^2)^(1 + p))/(e^2*(2 + p)))");

}

// {(A + B*x)/(a + b*x + c*x^2)^(3/2), x, 1, (-2*(A*b - 2*a*B - (b*B - 2*A*c)*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])}
public void test01383() {
	check("Integrate[(A + B*x)/(a + b*x + c*x^2)^(3/2), x]", "(-2*(A*b - 2*a*B - (b*B - 2*A*c)*x))/((b^2 - 4*a*c)*Sqrt[a + b*x + c*x^2])");

}

// {(5 - x)/(2 + 5*x + 3*x^2)^(3/2), x, 1, (-2*(29 + 35*x))/Sqrt[2 + 5*x + 3*x^2]}
public void test01384() {
	check("Integrate[(5 - x)/(2 + 5*x + 3*x^2)^(3/2), x]", "(-2*(29 + 35*x))/Sqrt[2 + 5*x + 3*x^2]");

}

// {1/((d + e*x)*Sqrt[d^2 - e^2*x^2]), x, 1, -(Sqrt[d^2 - e^2*x^2]/(d*e*(d + e*x)))}
public void test01385() {
	check("Integrate[1/((d + e*x)*Sqrt[d^2 - e^2*x^2]), x]", "-(Sqrt[d^2 - e^2*x^2]/(d*e*(d + e*x)))");

}

// {1/((1 + a*x)*Sqrt[1 - a^2*x^2]), x, 1, -(Sqrt[1 - a^2*x^2]/(a*(1 + a*x)))}
public void test01386() {
	check("Integrate[1/((1 + a*x)*Sqrt[1 - a^2*x^2]), x]", "-(Sqrt[1 - a^2*x^2]/(a*(1 + a*x)))");

}

// {1/((d + e*x)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]), x, 1, (2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/((c*d^2 - a*e^2)*(d + e*x))}
public void test01387() {
	check("Integrate[1/((d + e*x)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]), x]", "(2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/((c*d^2 - a*e^2)*(d + e*x))");

}

// {x^2*Sqrt[1 + x]*Sqrt[1 - x + x^2], x, 1, (2*(1 + x)^(3/2)*(1 - x + x^2)^(3/2))/9}
public void test01388() {
	check("Integrate[x^2*Sqrt[1 + x]*Sqrt[1 - x + x^2], x]", "(2*(1 + x)^(3/2)*(1 - x + x^2)^(3/2))/9");

}

// {x^2*(1 + x)^(3/2)*(1 - x + x^2)^(3/2), x, 1, (2*(1 + x)^(5/2)*(1 - x + x^2)^(5/2))/15}
public void test01389() {
	check("Integrate[x^2*(1 + x)^(3/2)*(1 - x + x^2)^(3/2), x]", "(2*(1 + x)^(5/2)*(1 - x + x^2)^(5/2))/15");

}

// {x^2/(Sqrt[1 + x]*Sqrt[1 - x + x^2]), x, 1, (2*Sqrt[1 + x]*Sqrt[1 - x + x^2])/3}
public void test01390() {
	check("Integrate[x^2/(Sqrt[1 + x]*Sqrt[1 - x + x^2]), x]", "(2*Sqrt[1 + x]*Sqrt[1 - x + x^2])/3");

}

// {x^2/((1 + x)^(3/2)*(1 - x + x^2)^(3/2)), x, 1, -2/(3*Sqrt[1 + x]*Sqrt[1 - x + x^2])}
public void test01391() {
	check("Integrate[x^2/((1 + x)^(3/2)*(1 - x + x^2)^(3/2)), x]", "-2/(3*Sqrt[1 + x]*Sqrt[1 - x + x^2])");

}

// {x^2/((1 + x)^(5/2)*(1 - x + x^2)^(5/2)), x, 1, -2/(9*(1 + x)^(3/2)*(1 - x + x^2)^(3/2))}
public void test01392() {
	check("Integrate[x^2/((1 + x)^(5/2)*(1 - x + x^2)^(5/2)), x]", "-2/(9*(1 + x)^(3/2)*(1 - x + x^2)^(3/2))");

}

// {(-1 + 2*x^2)/(Sqrt[-1 + x]*Sqrt[1 + x]), x, 1, Sqrt[-1 + x]*x*Sqrt[1 + x]}
public void test01393() {
	check("Integrate[(-1 + 2*x^2)/(Sqrt[-1 + x]*Sqrt[1 + x]), x]", "Sqrt[-1 + x]*x*Sqrt[1 + x]");

}

// {Sqrt[d + e*x]/Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2], x, 1, (2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/(c*d*Sqrt[d + e*x])}
public void test01394() {
	check("Integrate[Sqrt[d + e*x]/Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2], x]", "(2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/(c*d*Sqrt[d + e*x])");

}

// {(d + e*x)^(3/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2), x, 1, (-2*Sqrt[d + e*x])/(c*d*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])}
public void test01395() {
	check("Integrate[(d + e*x)^(3/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2), x]", "(-2*Sqrt[d + e*x])/(c*d*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])");

}

// {(d + e*x)^(5/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x, 1, (-2*(d + e*x)^(3/2))/(3*c*d*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))}
public void test01396() {
	check("Integrate[(d + e*x)^(5/2)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x]", "(-2*(d + e*x)^(3/2))/(3*c*d*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))");

}

// {Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/Sqrt[d + e*x], x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*c*d*(d + e*x)^(3/2))}
public void test01397() {
	check("Integrate[Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/Sqrt[d + e*x], x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*c*d*(d + e*x)^(3/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/(d + e*x)^(3/2), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*c*d*(d + e*x)^(5/2))}
public void test01398() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/(d + e*x)^(3/2), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*c*d*(d + e*x)^(5/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/(d + e*x)^(5/2), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*c*d*(d + e*x)^(7/2))}
public void test01399() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/(d + e*x)^(5/2), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*c*d*(d + e*x)^(7/2))");

}

// {Sqrt[d + e*x]/((f + g*x)^(3/2)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]), x, 1, (2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/((c*d*f - a*e*g)*Sqrt[d + e*x]*Sqrt[f + g*x])}
public void test01400() {
	check("Integrate[Sqrt[d + e*x]/((f + g*x)^(3/2)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]), x]", "(2*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])/((c*d*f - a*e*g)*Sqrt[d + e*x]*Sqrt[f + g*x])");

}

// {(d + e*x)^(3/2)/(Sqrt[f + g*x]*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)), x, 1, (-2*Sqrt[d + e*x]*Sqrt[f + g*x])/((c*d*f - a*e*g)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])}
public void test01401() {
	check("Integrate[(d + e*x)^(3/2)/(Sqrt[f + g*x]*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)), x]", "(-2*Sqrt[d + e*x]*Sqrt[f + g*x])/((c*d*f - a*e*g)*Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2])");

}

// {((d + e*x)^(5/2)*Sqrt[f + g*x])/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x, 1, (-2*(d + e*x)^(3/2)*(f + g*x)^(3/2))/(3*(c*d*f - a*e*g)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))}
public void test01402() {
	check("Integrate[((d + e*x)^(5/2)*Sqrt[f + g*x])/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2), x]", "(-2*(d + e*x)^(3/2)*(f + g*x)^(3/2))/(3*(c*d*f - a*e*g)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))");

}

// {Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/(Sqrt[d + e*x]*(f + g*x)^(5/2)), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*(c*d*f - a*e*g)*(d + e*x)^(3/2)*(f + g*x)^(3/2))}
public void test01403() {
	check("Integrate[Sqrt[a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2]/(Sqrt[d + e*x]*(f + g*x)^(5/2)), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2))/(3*(c*d*f - a*e*g)*(d + e*x)^(3/2)*(f + g*x)^(3/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/((d + e*x)^(3/2)*(f + g*x)^(7/2)), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*(c*d*f - a*e*g)*(d + e*x)^(5/2)*(f + g*x)^(5/2))}
public void test01404() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(3/2)/((d + e*x)^(3/2)*(f + g*x)^(7/2)), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2))/(5*(c*d*f - a*e*g)*(d + e*x)^(5/2)*(f + g*x)^(5/2))");

}

// {(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/((d + e*x)^(5/2)*(f + g*x)^(9/2)), x, 1, (2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*(c*d*f - a*e*g)*(d + e*x)^(7/2)*(f + g*x)^(7/2))}
public void test01405() {
	check("Integrate[(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(5/2)/((d + e*x)^(5/2)*(f + g*x)^(9/2)), x]", "(2*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(7/2))/(7*(c*d*f - a*e*g)*(d + e*x)^(7/2)*(f + g*x)^(7/2))");

}

// {(d + e*x)^m/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^m, x, 1, ((d + e*x)^(-1 + m)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 - m))/(c*d*(1 - m))}
public void test01406() {
	check("Integrate[(d + e*x)^m/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^m, x]", "((d + e*x)^(-1 + m)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 - m))/(c*d*(1 - m))");

}

// {((a*e + c*d*x)^n*(d + e*x)^m)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^m, x, 1, ((a*e + c*d*x)^n*(d + e*x)^(-1 + m)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 - m))/(c*d*(1 - m + n))}
public void test01407() {
	check("Integrate[((a*e + c*d*x)^n*(d + e*x)^m)/(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^m, x]", "((a*e + c*d*x)^n*(d + e*x)^(-1 + m)*(a*d*e + (c*d^2 + a*e^2)*x + c*d*e*x^2)^(1 - m))/(c*d*(1 - m + n))");

}

// {Sqrt[d + e*x]/(Sqrt[f + g*x]*Sqrt[a + b*x + c*x^2]), x, 1, (Sqrt[2]*Sqrt[2*c*f - (b + Sqrt[b^2 - 4*a*c])*g]*Sqrt[b - Sqrt[b^2 - 4*a*c] + 2*c*x]*Sqrt[((e*f - d*g)*(b + Sqrt[b^2 - 4*a*c] + 2*c*x))/((2*c*f - (b + Sqrt[b^2 - 4*a*c])*g)*(d + e*x))]*Sqrt[((e*f - d*g)*(2*a + (b + Sqrt[b^2 - 4*a*c])*x))/((b*f + Sqrt[b^2 - 4*a*c]*f - 2*a*g)*(d + e*x))]*(d + e*x)*EllipticPi[(e*(2*c*f - (b + Sqrt[b^2 - 4*a*c])*g))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*g), ArcSin[(Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]*Sqrt[f + g*x])/(Sqrt[2*c*f - (b + Sqrt[b^2 - 4*a*c])*g]*Sqrt[d + e*x])], ((b*d + Sqrt[b^2 - 4*a*c]*d - 2*a*e)*(2*c*f - (b + Sqrt[b^2 - 4*a*c])*g))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b*f + Sqrt[b^2 - 4*a*c]*f - 2*a*g))])/(Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]*g*Sqrt[(2*a*c)/(b + Sqrt[b^2 - 4*a*c]) + c*x]*Sqrt[a + b*x + c*x^2])}
public void test01408() {
	check("Integrate[Sqrt[d + e*x]/(Sqrt[f + g*x]*Sqrt[a + b*x + c*x^2]), x]", "(Sqrt[2]*Sqrt[2*c*f - (b + Sqrt[b^2 - 4*a*c])*g]*Sqrt[b - Sqrt[b^2 - 4*a*c] + 2*c*x]*Sqrt[((e*f - d*g)*(b + Sqrt[b^2 - 4*a*c] + 2*c*x))/((2*c*f - (b + Sqrt[b^2 - 4*a*c])*g)*(d + e*x))]*Sqrt[((e*f - d*g)*(2*a + (b + Sqrt[b^2 - 4*a*c])*x))/((b*f + Sqrt[b^2 - 4*a*c]*f - 2*a*g)*(d + e*x))]*(d + e*x)*EllipticPi[(e*(2*c*f - (b + Sqrt[b^2 - 4*a*c])*g))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*g), ArcSin[(Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]*Sqrt[f + g*x])/(Sqrt[2*c*f - (b + Sqrt[b^2 - 4*a*c])*g]*Sqrt[d + e*x])], ((b*d + Sqrt[b^2 - 4*a*c]*d - 2*a*e)*(2*c*f - (b + Sqrt[b^2 - 4*a*c])*g))/((2*c*d - (b + Sqrt[b^2 - 4*a*c])*e)*(b*f + Sqrt[b^2 - 4*a*c]*f - 2*a*g))])/(Sqrt[2*c*d - (b + Sqrt[b^2 - 4*a*c])*e]*g*Sqrt[(2*a*c)/(b + Sqrt[b^2 - 4*a*c]) + c*x]*Sqrt[a + b*x + c*x^2])");

}

// {(-3 + 2*x)*(-3*x + x^2)^(2/3), x, 1, (3*(-3*x + x^2)^(5/3))/5}
public void test01409() {
	check("Integrate[(-3 + 2*x)*(-3*x + x^2)^(2/3), x]", "(3*(-3*x + x^2)^(5/3))/5");

}

// {((-3 + x)*x)^(2/3)*(-3 + 2*x), x, 1, (3*(-((3 - x)*x))^(5/3))/5}
public void test01410() {
	check("Integrate[((-3 + x)*x)^(2/3)*(-3 + 2*x), x]", "(3*(-((3 - x)*x))^(5/3))/5");

}

// {((a + b*x^2)*(-(a*d) + 4*b*c*x + 3*b*d*x^2))/(c + d*x)^2, x, 1, (a + b*x^2)^2/(c + d*x)}
public void test01411() {
	check("Integrate[((a + b*x^2)*(-(a*d) + 4*b*c*x + 3*b*d*x^2))/(c + d*x)^2, x]", "(a + b*x^2)^2/(c + d*x)");

}

// {((a + b*x^2)*(-(a*d) + b*x*(4*c + 3*d*x)))/(c + d*x)^2, x, 1, (a + b*x^2)^2/(c + d*x)}
public void test01412() {
	check("Integrate[((a + b*x^2)*(-(a*d) + b*x*(4*c + 3*d*x)))/(c + d*x)^2, x]", "(a + b*x^2)^2/(c + d*x)");

}

// {((a + b*x^2)^2*(-(a*d) + 6*b*c*x + 5*b*d*x^2))/(c + d*x)^2, x, 1, (a + b*x^2)^3/(c + d*x)}
public void test01413() {
	check("Integrate[((a + b*x^2)^2*(-(a*d) + 6*b*c*x + 5*b*d*x^2))/(c + d*x)^2, x]", "(a + b*x^2)^3/(c + d*x)");

}

// {((a + b*x^2)^2*(-(a*d) + b*x*(6*c + 5*d*x)))/(c + d*x)^2, x, 1, (a + b*x^2)^3/(c + d*x)}
public void test01414() {
	check("Integrate[((a + b*x^2)^2*(-(a*d) + b*x*(6*c + 5*d*x)))/(c + d*x)^2, x]", "(a + b*x^2)^3/(c + d*x)");

}

// {(1 - x^2)/(1 + x + x^2)^2, x, 1, x/(1 + x + x^2)}
public void test01415() {
	check("Integrate[(1 - x^2)/(1 + x + x^2)^2, x]", "x/(1 + x + x^2)");

}

// {(-1 + 2*x + 5*x^2)/(1 + x + x^2)^4, x, 1, -(x/(1 + x + x^2)^3)}
public void test01416() {
	check("Integrate[(-1 + 2*x + 5*x^2)/(1 + x + x^2)^4, x]", "-(x/(1 + x + x^2)^3)");

}

// {1/Sqrt[2 - 3*x^4], x, 1, EllipticF[ArcSin[(3/2)^(1/4)*x], -1]/6^(1/4)}
public void test01417() {
	check("Integrate[1/Sqrt[2 - 3*x^4], x]", "EllipticF[ArcSin[(3/2)^(1/4)*x], -1]/6^(1/4)");

}

// {1/Sqrt[3 - 2*x^4], x, 1, EllipticF[ArcSin[(2/3)^(1/4)*x], -1]/6^(1/4)}
public void test01418() {
	check("Integrate[1/Sqrt[3 - 2*x^4], x]", "EllipticF[ArcSin[(2/3)^(1/4)*x], -1]/6^(1/4)");

}

// {1/Sqrt[-2 + 5*x^2 + 3*x^4], x, 1, (Sqrt[2 + x^2]*Sqrt[-1 + 3*x^2]*EllipticF[ArcSin[(Sqrt[7/2]*x)/Sqrt[-1 + 3*x^2]], 6/7])/(Sqrt[7]*Sqrt[-2 + 5*x^2 + 3*x^4])}
public void test01419() {
	check("Integrate[1/Sqrt[-2 + 5*x^2 + 3*x^4], x]", "(Sqrt[2 + x^2]*Sqrt[-1 + 3*x^2]*EllipticF[ArcSin[(Sqrt[7/2]*x)/Sqrt[-1 + 3*x^2]], 6/7])/(Sqrt[7]*Sqrt[-2 + 5*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 + 4*x^2 + 3*x^4], x, 1, (Sqrt[(2 - (2 - Sqrt[10])*x^2)/(2 - (2 + Sqrt[10])*x^2)]*Sqrt[-2 + (2 + Sqrt[10])*x^2]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-2 + (2 + Sqrt[10])*x^2]], (5 + Sqrt[10])/10])/(2*10^(1/4)*Sqrt[(2 - (2 + Sqrt[10])*x^2)^(-1)]*Sqrt[-2 + 4*x^2 + 3*x^4])}
public void test01420() {
	check("Integrate[1/Sqrt[-2 + 4*x^2 + 3*x^4], x]", "(Sqrt[(2 - (2 - Sqrt[10])*x^2)/(2 - (2 + Sqrt[10])*x^2)]*Sqrt[-2 + (2 + Sqrt[10])*x^2]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-2 + (2 + Sqrt[10])*x^2]], (5 + Sqrt[10])/10])/(2*10^(1/4)*Sqrt[(2 - (2 + Sqrt[10])*x^2)^(-1)]*Sqrt[-2 + 4*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 + 3*x^2 + 3*x^4], x, 1, (Sqrt[(4 - (3 - Sqrt[33])*x^2)/(4 - (3 + Sqrt[33])*x^2)]*Sqrt[-4 + (3 + Sqrt[33])*x^2]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-4 + (3 + Sqrt[33])*x^2]], (11 + Sqrt[33])/22])/(2*Sqrt[2]*33^(1/4)*Sqrt[(4 - (3 + Sqrt[33])*x^2)^(-1)]*Sqrt[-2 + 3*x^2 + 3*x^4])}
public void test01421() {
	check("Integrate[1/Sqrt[-2 + 3*x^2 + 3*x^4], x]", "(Sqrt[(4 - (3 - Sqrt[33])*x^2)/(4 - (3 + Sqrt[33])*x^2)]*Sqrt[-4 + (3 + Sqrt[33])*x^2]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-4 + (3 + Sqrt[33])*x^2]], (11 + Sqrt[33])/22])/(2*Sqrt[2]*33^(1/4)*Sqrt[(4 - (3 + Sqrt[33])*x^2)^(-1)]*Sqrt[-2 + 3*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 + 2*x^2 + 3*x^4], x, 1, (Sqrt[(2 - (1 - Sqrt[7])*x^2)/(2 - (1 + Sqrt[7])*x^2)]*Sqrt[-2 + (1 + Sqrt[7])*x^2]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-2 + (1 + Sqrt[7])*x^2]], (7 + Sqrt[7])/14])/(2*7^(1/4)*Sqrt[(2 - (1 + Sqrt[7])*x^2)^(-1)]*Sqrt[-2 + 2*x^2 + 3*x^4])}
public void test01422() {
	check("Integrate[1/Sqrt[-2 + 2*x^2 + 3*x^4], x]", "(Sqrt[(2 - (1 - Sqrt[7])*x^2)/(2 - (1 + Sqrt[7])*x^2)]*Sqrt[-2 + (1 + Sqrt[7])*x^2]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-2 + (1 + Sqrt[7])*x^2]], (7 + Sqrt[7])/14])/(2*7^(1/4)*Sqrt[(2 - (1 + Sqrt[7])*x^2)^(-1)]*Sqrt[-2 + 2*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 + x^2 + 3*x^4], x, 1, (Sqrt[1 + x^2]*Sqrt[-2 + 3*x^2]*EllipticF[ArcSin[(Sqrt[5]*x)/Sqrt[-2 + 3*x^2]], 3/5])/(Sqrt[5]*Sqrt[-2 + x^2 + 3*x^4])}
public void test01423() {
	check("Integrate[1/Sqrt[-2 + x^2 + 3*x^4], x]", "(Sqrt[1 + x^2]*Sqrt[-2 + 3*x^2]*EllipticF[ArcSin[(Sqrt[5]*x)/Sqrt[-2 + 3*x^2]], 3/5])/(Sqrt[5]*Sqrt[-2 + x^2 + 3*x^4])");

}

// {1/Sqrt[-2 + 3*x^4], x, 1, (Sqrt[-2 + Sqrt[6]*x^2]*Sqrt[(2 + Sqrt[6]*x^2)/(2 - Sqrt[6]*x^2)]*EllipticF[ArcSin[(2^(3/4)*3^(1/4)*x)/Sqrt[-2 + Sqrt[6]*x^2]], 1/2])/(2*6^(1/4)*Sqrt[(2 - Sqrt[6]*x^2)^(-1)]*Sqrt[-2 + 3*x^4])}
public void test01424() {
	check("Integrate[1/Sqrt[-2 + 3*x^4], x]", "(Sqrt[-2 + Sqrt[6]*x^2]*Sqrt[(2 + Sqrt[6]*x^2)/(2 - Sqrt[6]*x^2)]*EllipticF[ArcSin[(2^(3/4)*3^(1/4)*x)/Sqrt[-2 + Sqrt[6]*x^2]], 1/2])/(2*6^(1/4)*Sqrt[(2 - Sqrt[6]*x^2)^(-1)]*Sqrt[-2 + 3*x^4])");

}

// {1/Sqrt[-2 - x^2 + 3*x^4], x, 1, (Sqrt[-1 + x^2]*Sqrt[2 + 3*x^2]*EllipticF[ArcSin[(Sqrt[5/2]*x)/Sqrt[-1 + x^2]], 2/5])/(Sqrt[5]*Sqrt[-2 - x^2 + 3*x^4])}
public void test01425() {
	check("Integrate[1/Sqrt[-2 - x^2 + 3*x^4], x]", "(Sqrt[-1 + x^2]*Sqrt[2 + 3*x^2]*EllipticF[ArcSin[(Sqrt[5/2]*x)/Sqrt[-1 + x^2]], 2/5])/(Sqrt[5]*Sqrt[-2 - x^2 + 3*x^4])");

}

// {1/Sqrt[-2 - 2*x^2 + 3*x^4], x, 1, (Sqrt[-2 - (1 - Sqrt[7])*x^2]*Sqrt[(2 + (1 + Sqrt[7])*x^2)/(2 + (1 - Sqrt[7])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-2 - (1 - Sqrt[7])*x^2]], (7 - Sqrt[7])/14])/(2*7^(1/4)*Sqrt[(2 + (1 - Sqrt[7])*x^2)^(-1)]*Sqrt[-2 - 2*x^2 + 3*x^4])}
public void test01426() {
	check("Integrate[1/Sqrt[-2 - 2*x^2 + 3*x^4], x]", "(Sqrt[-2 - (1 - Sqrt[7])*x^2]*Sqrt[(2 + (1 + Sqrt[7])*x^2)/(2 + (1 - Sqrt[7])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-2 - (1 - Sqrt[7])*x^2]], (7 - Sqrt[7])/14])/(2*7^(1/4)*Sqrt[(2 + (1 - Sqrt[7])*x^2)^(-1)]*Sqrt[-2 - 2*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 - 3*x^2 + 3*x^4], x, 1, (Sqrt[-4 - (3 - Sqrt[33])*x^2]*Sqrt[(4 + (3 + Sqrt[33])*x^2)/(4 + (3 - Sqrt[33])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-4 - (3 - Sqrt[33])*x^2]], (11 - Sqrt[33])/22])/(2*Sqrt[2]*33^(1/4)*Sqrt[(4 + (3 - Sqrt[33])*x^2)^(-1)]*Sqrt[-2 - 3*x^2 + 3*x^4])}
public void test01427() {
	check("Integrate[1/Sqrt[-2 - 3*x^2 + 3*x^4], x]", "(Sqrt[-4 - (3 - Sqrt[33])*x^2]*Sqrt[(4 + (3 + Sqrt[33])*x^2)/(4 + (3 - Sqrt[33])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-4 - (3 - Sqrt[33])*x^2]], (11 - Sqrt[33])/22])/(2*Sqrt[2]*33^(1/4)*Sqrt[(4 + (3 - Sqrt[33])*x^2)^(-1)]*Sqrt[-2 - 3*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 - 4*x^2 + 3*x^4], x, 1, (Sqrt[-2 - (2 - Sqrt[10])*x^2]*Sqrt[(2 + (2 + Sqrt[10])*x^2)/(2 + (2 - Sqrt[10])*x^2)]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-2 - (2 - Sqrt[10])*x^2]], (5 - Sqrt[10])/10])/(2*10^(1/4)*Sqrt[(2 + (2 - Sqrt[10])*x^2)^(-1)]*Sqrt[-2 - 4*x^2 + 3*x^4])}
public void test01428() {
	check("Integrate[1/Sqrt[-2 - 4*x^2 + 3*x^4], x]", "(Sqrt[-2 - (2 - Sqrt[10])*x^2]*Sqrt[(2 + (2 + Sqrt[10])*x^2)/(2 + (2 - Sqrt[10])*x^2)]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-2 - (2 - Sqrt[10])*x^2]], (5 - Sqrt[10])/10])/(2*10^(1/4)*Sqrt[(2 + (2 - Sqrt[10])*x^2)^(-1)]*Sqrt[-2 - 4*x^2 + 3*x^4])");

}

// {1/Sqrt[-2 - 5*x^2 + 3*x^4], x, 1, (Sqrt[-2 + x^2]*Sqrt[1 + 3*x^2]*EllipticF[ArcSin[(Sqrt[7]*x)/Sqrt[-2 + x^2]], 1/7])/(Sqrt[7]*Sqrt[-2 - 5*x^2 + 3*x^4])}
public void test01429() {
	check("Integrate[1/Sqrt[-2 - 5*x^2 + 3*x^4], x]", "(Sqrt[-2 + x^2]*Sqrt[1 + 3*x^2]*EllipticF[ArcSin[(Sqrt[7]*x)/Sqrt[-2 + x^2]], 1/7])/(Sqrt[7]*Sqrt[-2 - 5*x^2 + 3*x^4])");

}

// {1/Sqrt[-3 + 7*x^2 + 2*x^4], x, 1, (Sqrt[(6 - (7 - Sqrt[73])*x^2)/(6 - (7 + Sqrt[73])*x^2)]*Sqrt[-6 + (7 + Sqrt[73])*x^2]*EllipticF[ArcSin[(Sqrt[2]*73^(1/4)*x)/Sqrt[-6 + (7 + Sqrt[73])*x^2]], (73 + 7*Sqrt[73])/146])/(2*Sqrt[3]*73^(1/4)*Sqrt[(6 - (7 + Sqrt[73])*x^2)^(-1)]*Sqrt[-3 + 7*x^2 + 2*x^4])}
public void test01430() {
	check("Integrate[1/Sqrt[-3 + 7*x^2 + 2*x^4], x]", "(Sqrt[(6 - (7 - Sqrt[73])*x^2)/(6 - (7 + Sqrt[73])*x^2)]*Sqrt[-6 + (7 + Sqrt[73])*x^2]*EllipticF[ArcSin[(Sqrt[2]*73^(1/4)*x)/Sqrt[-6 + (7 + Sqrt[73])*x^2]], (73 + 7*Sqrt[73])/146])/(2*Sqrt[3]*73^(1/4)*Sqrt[(6 - (7 + Sqrt[73])*x^2)^(-1)]*Sqrt[-3 + 7*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 6*x^2 + 2*x^4], x, 1, (Sqrt[(3 - (3 - Sqrt[15])*x^2)/(3 - (3 + Sqrt[15])*x^2)]*Sqrt[-3 + (3 + Sqrt[15])*x^2]*EllipticF[ArcSin[(Sqrt[2]*15^(1/4)*x)/Sqrt[-3 + (3 + Sqrt[15])*x^2]], (5 + Sqrt[15])/10])/(Sqrt[2]*3^(3/4)*5^(1/4)*Sqrt[(3 - (3 + Sqrt[15])*x^2)^(-1)]*Sqrt[-3 + 6*x^2 + 2*x^4])}
public void test01431() {
	check("Integrate[1/Sqrt[-3 + 6*x^2 + 2*x^4], x]", "(Sqrt[(3 - (3 - Sqrt[15])*x^2)/(3 - (3 + Sqrt[15])*x^2)]*Sqrt[-3 + (3 + Sqrt[15])*x^2]*EllipticF[ArcSin[(Sqrt[2]*15^(1/4)*x)/Sqrt[-3 + (3 + Sqrt[15])*x^2]], (5 + Sqrt[15])/10])/(Sqrt[2]*3^(3/4)*5^(1/4)*Sqrt[(3 - (3 + Sqrt[15])*x^2)^(-1)]*Sqrt[-3 + 6*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 5*x^2 + 2*x^4], x, 1, (Sqrt[3 + x^2]*Sqrt[-1 + 2*x^2]*EllipticF[ArcSin[(Sqrt[7/3]*x)/Sqrt[-1 + 2*x^2]], 6/7])/(Sqrt[7]*Sqrt[-3 + 5*x^2 + 2*x^4])}
public void test01432() {
	check("Integrate[1/Sqrt[-3 + 5*x^2 + 2*x^4], x]", "(Sqrt[3 + x^2]*Sqrt[-1 + 2*x^2]*EllipticF[ArcSin[(Sqrt[7/3]*x)/Sqrt[-1 + 2*x^2]], 6/7])/(Sqrt[7]*Sqrt[-3 + 5*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 4*x^2 + 2*x^4], x, 1, (Sqrt[(3 - (2 - Sqrt[10])*x^2)/(3 - (2 + Sqrt[10])*x^2)]*Sqrt[-3 + (2 + Sqrt[10])*x^2]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-3 + (2 + Sqrt[10])*x^2]], (5 + Sqrt[10])/10])/(2^(3/4)*Sqrt[3]*5^(1/4)*Sqrt[(3 - (2 + Sqrt[10])*x^2)^(-1)]*Sqrt[-3 + 4*x^2 + 2*x^4])}
public void test01433() {
	check("Integrate[1/Sqrt[-3 + 4*x^2 + 2*x^4], x]", "(Sqrt[(3 - (2 - Sqrt[10])*x^2)/(3 - (2 + Sqrt[10])*x^2)]*Sqrt[-3 + (2 + Sqrt[10])*x^2]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-3 + (2 + Sqrt[10])*x^2]], (5 + Sqrt[10])/10])/(2^(3/4)*Sqrt[3]*5^(1/4)*Sqrt[(3 - (2 + Sqrt[10])*x^2)^(-1)]*Sqrt[-3 + 4*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 3*x^2 + 2*x^4], x, 1, (Sqrt[(6 - (3 - Sqrt[33])*x^2)/(6 - (3 + Sqrt[33])*x^2)]*Sqrt[-6 + (3 + Sqrt[33])*x^2]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-6 + (3 + Sqrt[33])*x^2]], (11 + Sqrt[33])/22])/(2*3^(3/4)*11^(1/4)*Sqrt[(6 - (3 + Sqrt[33])*x^2)^(-1)]*Sqrt[-3 + 3*x^2 + 2*x^4])}
public void test01434() {
	check("Integrate[1/Sqrt[-3 + 3*x^2 + 2*x^4], x]", "(Sqrt[(6 - (3 - Sqrt[33])*x^2)/(6 - (3 + Sqrt[33])*x^2)]*Sqrt[-6 + (3 + Sqrt[33])*x^2]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-6 + (3 + Sqrt[33])*x^2]], (11 + Sqrt[33])/22])/(2*3^(3/4)*11^(1/4)*Sqrt[(6 - (3 + Sqrt[33])*x^2)^(-1)]*Sqrt[-3 + 3*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 2*x^2 + 2*x^4], x, 1, (Sqrt[(3 - (1 - Sqrt[7])*x^2)/(3 - (1 + Sqrt[7])*x^2)]*Sqrt[-3 + (1 + Sqrt[7])*x^2]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-3 + (1 + Sqrt[7])*x^2]], (7 + Sqrt[7])/14])/(Sqrt[6]*7^(1/4)*Sqrt[(3 - (1 + Sqrt[7])*x^2)^(-1)]*Sqrt[-3 + 2*x^2 + 2*x^4])}
public void test01435() {
	check("Integrate[1/Sqrt[-3 + 2*x^2 + 2*x^4], x]", "(Sqrt[(3 - (1 - Sqrt[7])*x^2)/(3 - (1 + Sqrt[7])*x^2)]*Sqrt[-3 + (1 + Sqrt[7])*x^2]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-3 + (1 + Sqrt[7])*x^2]], (7 + Sqrt[7])/14])/(Sqrt[6]*7^(1/4)*Sqrt[(3 - (1 + Sqrt[7])*x^2)^(-1)]*Sqrt[-3 + 2*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + x^2 + 2*x^4], x, 1, (Sqrt[-1 + x^2]*Sqrt[3 + 2*x^2]*EllipticF[ArcSin[(Sqrt[5/3]*x)/Sqrt[-1 + x^2]], 3/5])/(Sqrt[5]*Sqrt[-3 + x^2 + 2*x^4])}
public void test01436() {
	check("Integrate[1/Sqrt[-3 + x^2 + 2*x^4], x]", "(Sqrt[-1 + x^2]*Sqrt[3 + 2*x^2]*EllipticF[ArcSin[(Sqrt[5/3]*x)/Sqrt[-1 + x^2]], 3/5])/(Sqrt[5]*Sqrt[-3 + x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 2*x^4], x, 1, (Sqrt[-3 + Sqrt[6]*x^2]*Sqrt[(3 + Sqrt[6]*x^2)/(3 - Sqrt[6]*x^2)]*EllipticF[ArcSin[(2^(3/4)*3^(1/4)*x)/Sqrt[-3 + Sqrt[6]*x^2]], 1/2])/(6^(3/4)*Sqrt[(3 - Sqrt[6]*x^2)^(-1)]*Sqrt[-3 + 2*x^4])}
public void test01437() {
	check("Integrate[1/Sqrt[-3 + 2*x^4], x]", "(Sqrt[-3 + Sqrt[6]*x^2]*Sqrt[(3 + Sqrt[6]*x^2)/(3 - Sqrt[6]*x^2)]*EllipticF[ArcSin[(2^(3/4)*3^(1/4)*x)/Sqrt[-3 + Sqrt[6]*x^2]], 1/2])/(6^(3/4)*Sqrt[(3 - Sqrt[6]*x^2)^(-1)]*Sqrt[-3 + 2*x^4])");

}

// {1/Sqrt[-3 - x^2 + 2*x^4], x, 1, (Sqrt[1 + x^2]*Sqrt[-3 + 2*x^2]*EllipticF[ArcSin[(Sqrt[5]*x)/Sqrt[-3 + 2*x^2]], 2/5])/(Sqrt[5]*Sqrt[-3 - x^2 + 2*x^4])}
public void test01438() {
	check("Integrate[1/Sqrt[-3 - x^2 + 2*x^4], x]", "(Sqrt[1 + x^2]*Sqrt[-3 + 2*x^2]*EllipticF[ArcSin[(Sqrt[5]*x)/Sqrt[-3 + 2*x^2]], 2/5])/(Sqrt[5]*Sqrt[-3 - x^2 + 2*x^4])");

}

// {1/Sqrt[-3 - 2*x^2 + 2*x^4], x, 1, (Sqrt[-3 - (1 - Sqrt[7])*x^2]*Sqrt[(3 + (1 + Sqrt[7])*x^2)/(3 + (1 - Sqrt[7])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-3 - (1 - Sqrt[7])*x^2]], (7 - Sqrt[7])/14])/(Sqrt[6]*7^(1/4)*Sqrt[(3 + (1 - Sqrt[7])*x^2)^(-1)]*Sqrt[-3 - 2*x^2 + 2*x^4])}
public void test01439() {
	check("Integrate[1/Sqrt[-3 - 2*x^2 + 2*x^4], x]", "(Sqrt[-3 - (1 - Sqrt[7])*x^2]*Sqrt[(3 + (1 + Sqrt[7])*x^2)/(3 + (1 - Sqrt[7])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*7^(1/4)*x)/Sqrt[-3 - (1 - Sqrt[7])*x^2]], (7 - Sqrt[7])/14])/(Sqrt[6]*7^(1/4)*Sqrt[(3 + (1 - Sqrt[7])*x^2)^(-1)]*Sqrt[-3 - 2*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 - 3*x^2 + 2*x^4], x, 1, (Sqrt[-6 - (3 - Sqrt[33])*x^2]*Sqrt[(6 + (3 + Sqrt[33])*x^2)/(6 + (3 - Sqrt[33])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-6 - (3 - Sqrt[33])*x^2]], (11 - Sqrt[33])/22])/(2*3^(3/4)*11^(1/4)*Sqrt[(6 + (3 - Sqrt[33])*x^2)^(-1)]*Sqrt[-3 - 3*x^2 + 2*x^4])}
public void test01440() {
	check("Integrate[1/Sqrt[-3 - 3*x^2 + 2*x^4], x]", "(Sqrt[-6 - (3 - Sqrt[33])*x^2]*Sqrt[(6 + (3 + Sqrt[33])*x^2)/(6 + (3 - Sqrt[33])*x^2)]*EllipticF[ArcSin[(Sqrt[2]*33^(1/4)*x)/Sqrt[-6 - (3 - Sqrt[33])*x^2]], (11 - Sqrt[33])/22])/(2*3^(3/4)*11^(1/4)*Sqrt[(6 + (3 - Sqrt[33])*x^2)^(-1)]*Sqrt[-3 - 3*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 - 4*x^2 + 2*x^4], x, 1, (Sqrt[-3 - (2 - Sqrt[10])*x^2]*Sqrt[(3 + (2 + Sqrt[10])*x^2)/(3 + (2 - Sqrt[10])*x^2)]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-3 - (2 - Sqrt[10])*x^2]], (5 - Sqrt[10])/10])/(2^(3/4)*Sqrt[3]*5^(1/4)*Sqrt[(3 + (2 - Sqrt[10])*x^2)^(-1)]*Sqrt[-3 - 4*x^2 + 2*x^4])}
public void test01441() {
	check("Integrate[1/Sqrt[-3 - 4*x^2 + 2*x^4], x]", "(Sqrt[-3 - (2 - Sqrt[10])*x^2]*Sqrt[(3 + (2 + Sqrt[10])*x^2)/(3 + (2 - Sqrt[10])*x^2)]*EllipticF[ArcSin[(2^(3/4)*5^(1/4)*x)/Sqrt[-3 - (2 - Sqrt[10])*x^2]], (5 - Sqrt[10])/10])/(2^(3/4)*Sqrt[3]*5^(1/4)*Sqrt[(3 + (2 - Sqrt[10])*x^2)^(-1)]*Sqrt[-3 - 4*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 - 5*x^2 + 2*x^4], x, 1, (Sqrt[-3 + x^2]*Sqrt[1 + 2*x^2]*EllipticF[ArcSin[(Sqrt[7]*x)/Sqrt[-3 + x^2]], 1/7])/(Sqrt[7]*Sqrt[-3 - 5*x^2 + 2*x^4])}
public void test01442() {
	check("Integrate[1/Sqrt[-3 - 5*x^2 + 2*x^4], x]", "(Sqrt[-3 + x^2]*Sqrt[1 + 2*x^2]*EllipticF[ArcSin[(Sqrt[7]*x)/Sqrt[-3 + x^2]], 1/7])/(Sqrt[7]*Sqrt[-3 - 5*x^2 + 2*x^4])");

}

// {1/Sqrt[2 + 5*x^2 + 3*x^4], x, 1, ((1 + x^2)*Sqrt[(2 + 3*x^2)/(1 + x^2)]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[2 + 5*x^2 + 3*x^4])}
public void test01443() {
	check("Integrate[1/Sqrt[2 + 5*x^2 + 3*x^4], x]", "((1 + x^2)*Sqrt[(2 + 3*x^2)/(1 + x^2)]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[2 + 5*x^2 + 3*x^4])");

}

// {1/Sqrt[2 + 4*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[2 + 4*x^2 + 3*x^4])}
public void test01444() {
	check("Integrate[1/Sqrt[2 + 4*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[2 + 4*x^2 + 3*x^4])");

}

// {1/Sqrt[2 + 3*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[2 + 3*x^2 + 3*x^4])}
public void test01445() {
	check("Integrate[1/Sqrt[2 + 3*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[2 + 3*x^2 + 3*x^4])");

}

// {1/Sqrt[2 + 2*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[2 + 2*x^2 + 3*x^4])}
public void test01446() {
	check("Integrate[1/Sqrt[2 + 2*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[2 + 2*x^2 + 3*x^4])");

}

// {1/Sqrt[2 + x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[2 + x^2 + 3*x^4])}
public void test01447() {
	check("Integrate[1/Sqrt[2 + x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[2 + x^2 + 3*x^4])");

}

// {1/Sqrt[2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[2 + 3*x^4])}
public void test01448() {
	check("Integrate[1/Sqrt[2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[2 + 3*x^4])");

}

// {1/Sqrt[2 - x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[2 - x^2 + 3*x^4])}
public void test01449() {
	check("Integrate[1/Sqrt[2 - x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[2 - x^2 + 3*x^4])");

}

// {1/Sqrt[2 - 2*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[2 - 2*x^2 + 3*x^4])}
public void test01450() {
	check("Integrate[1/Sqrt[2 - 2*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[2 - 2*x^2 + 3*x^4])");

}

// {1/Sqrt[2 - 3*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[2 - 3*x^2 + 3*x^4])}
public void test01451() {
	check("Integrate[1/Sqrt[2 - 3*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[2 - 3*x^2 + 3*x^4])");

}

// {1/Sqrt[2 - 4*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[2 - 4*x^2 + 3*x^4])}
public void test01452() {
	check("Integrate[1/Sqrt[2 - 4*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[2 - 4*x^2 + 3*x^4])");

}

// {1/Sqrt[2 - 5*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 5*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 + 5*Sqrt[6])/24])/(2*6^(1/4)*Sqrt[2 - 5*x^2 + 3*x^4])}
public void test01453() {
	check("Integrate[1/Sqrt[2 - 5*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 5*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 + 5*Sqrt[6])/24])/(2*6^(1/4)*Sqrt[2 - 5*x^2 + 3*x^4])");

}

// {1/Sqrt[2 - 6*x^2 + 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 6*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (2 + Sqrt[6])/4])/(2*6^(1/4)*Sqrt[2 - 6*x^2 + 3*x^4])}
public void test01454() {
	check("Integrate[1/Sqrt[2 - 6*x^2 + 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 6*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (2 + Sqrt[6])/4])/(2*6^(1/4)*Sqrt[2 - 6*x^2 + 3*x^4])");

}

// {1/Sqrt[3 + 9*x^2 + 2*x^4], x, 1, (Sqrt[(6 + (9 - Sqrt[57])*x^2)/(6 + (9 + Sqrt[57])*x^2)]*(6 + (9 + Sqrt[57])*x^2)*EllipticF[ArcTan[Sqrt[(9 + Sqrt[57])/6]*x], (-19 + 3*Sqrt[57])/4])/(Sqrt[6*(9 + Sqrt[57])]*Sqrt[3 + 9*x^2 + 2*x^4])}
public void test01455() {
	check("Integrate[1/Sqrt[3 + 9*x^2 + 2*x^4], x]", "(Sqrt[(6 + (9 - Sqrt[57])*x^2)/(6 + (9 + Sqrt[57])*x^2)]*(6 + (9 + Sqrt[57])*x^2)*EllipticF[ArcTan[Sqrt[(9 + Sqrt[57])/6]*x], (-19 + 3*Sqrt[57])/4])/(Sqrt[6*(9 + Sqrt[57])]*Sqrt[3 + 9*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 8*x^2 + 2*x^4], x, 1, (Sqrt[(3 + (4 - Sqrt[10])*x^2)/(3 + (4 + Sqrt[10])*x^2)]*(3 + (4 + Sqrt[10])*x^2)*EllipticF[ArcTan[Sqrt[(4 + Sqrt[10])/3]*x], (-2*(5 - 2*Sqrt[10]))/3])/(Sqrt[3*(4 + Sqrt[10])]*Sqrt[3 + 8*x^2 + 2*x^4])}
public void test01456() {
	check("Integrate[1/Sqrt[3 + 8*x^2 + 2*x^4], x]", "(Sqrt[(3 + (4 - Sqrt[10])*x^2)/(3 + (4 + Sqrt[10])*x^2)]*(3 + (4 + Sqrt[10])*x^2)*EllipticF[ArcTan[Sqrt[(4 + Sqrt[10])/3]*x], (-2*(5 - 2*Sqrt[10]))/3])/(Sqrt[3*(4 + Sqrt[10])]*Sqrt[3 + 8*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 7*x^2 + 2*x^4], x, 1, (Sqrt[(3 + x^2)/(1 + 2*x^2)]*(1 + 2*x^2)*EllipticF[ArcTan[Sqrt[2]*x], 5/6])/(Sqrt[6]*Sqrt[3 + 7*x^2 + 2*x^4])}
public void test01457() {
	check("Integrate[1/Sqrt[3 + 7*x^2 + 2*x^4], x]", "(Sqrt[(3 + x^2)/(1 + 2*x^2)]*(1 + 2*x^2)*EllipticF[ArcTan[Sqrt[2]*x], 5/6])/(Sqrt[6]*Sqrt[3 + 7*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 6*x^2 + 2*x^4], x, 1, (Sqrt[(3 + (3 - Sqrt[3])*x^2)/(3 + (3 + Sqrt[3])*x^2)]*(3 + (3 + Sqrt[3])*x^2)*EllipticF[ArcTan[Sqrt[(3 + Sqrt[3])/3]*x], -1 + Sqrt[3]])/(Sqrt[3*(3 + Sqrt[3])]*Sqrt[3 + 6*x^2 + 2*x^4])}
public void test01458() {
	check("Integrate[1/Sqrt[3 + 6*x^2 + 2*x^4], x]", "(Sqrt[(3 + (3 - Sqrt[3])*x^2)/(3 + (3 + Sqrt[3])*x^2)]*(3 + (3 + Sqrt[3])*x^2)*EllipticF[ArcTan[Sqrt[(3 + Sqrt[3])/3]*x], -1 + Sqrt[3]])/(Sqrt[3*(3 + Sqrt[3])]*Sqrt[3 + 6*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 5*x^2 + 2*x^4], x, 1, ((1 + x^2)*Sqrt[(3 + 2*x^2)/(1 + x^2)]*EllipticF[ArcTan[x], 1/3])/(Sqrt[3]*Sqrt[3 + 5*x^2 + 2*x^4])}
public void test01459() {
	check("Integrate[1/Sqrt[3 + 5*x^2 + 2*x^4], x]", "((1 + x^2)*Sqrt[(3 + 2*x^2)/(1 + x^2)]*EllipticF[ArcTan[x], 1/3])/(Sqrt[3]*Sqrt[3 + 5*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 4*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[3 + 4*x^2 + 2*x^4])}
public void test01460() {
	check("Integrate[1/Sqrt[3 + 4*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[3 + 4*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 3*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[3 + 3*x^2 + 2*x^4])}
public void test01461() {
	check("Integrate[1/Sqrt[3 + 3*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[3 + 3*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 2*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[3 + 2*x^2 + 2*x^4])}
public void test01462() {
	check("Integrate[1/Sqrt[3 + 2*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[3 + 2*x^2 + 2*x^4])");

}

// {1/Sqrt[3 + x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 + x^2 + 2*x^4])}
public void test01463() {
	check("Integrate[1/Sqrt[3 + x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 + x^2 + 2*x^4])");

}

// {1/Sqrt[3 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[3 + 2*x^4])}
public void test01464() {
	check("Integrate[1/Sqrt[3 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[3 + 2*x^4])");

}

// {1/Sqrt[3 - x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 - x^2 + 2*x^4])}
public void test01465() {
	check("Integrate[1/Sqrt[3 - x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 - x^2 + 2*x^4])");

}

// {1/Sqrt[3 - 2*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[3 - 2*x^2 + 2*x^4])}
public void test01466() {
	check("Integrate[1/Sqrt[3 - 2*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[3 - 2*x^2 + 2*x^4])");

}

// {1/Sqrt[3 - 3*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[3 - 3*x^2 + 2*x^4])}
public void test01467() {
	check("Integrate[1/Sqrt[3 - 3*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[3 - 3*x^2 + 2*x^4])");

}

// {1/Sqrt[3 - 4*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[3 - 4*x^2 + 2*x^4])}
public void test01468() {
	check("Integrate[1/Sqrt[3 - 4*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[3 - 4*x^2 + 2*x^4])");

}

// {1/Sqrt[3 - 5*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 5*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + 5*Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 - 5*x^2 + 2*x^4])}
public void test01469() {
	check("Integrate[1/Sqrt[3 - 5*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 5*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + 5*Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 - 5*x^2 + 2*x^4])");

}

// {1/Sqrt[3 - 6*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 6*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (2 + Sqrt[6])/4])/(2*6^(1/4)*Sqrt[3 - 6*x^2 + 2*x^4])}
public void test01470() {
	check("Integrate[1/Sqrt[3 - 6*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 6*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (2 + Sqrt[6])/4])/(2*6^(1/4)*Sqrt[3 - 6*x^2 + 2*x^4])");

}

// {1/Sqrt[3 - 7*x^2 + 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 7*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + 7*Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 - 7*x^2 + 2*x^4])}
public void test01471() {
	check("Integrate[1/Sqrt[3 - 7*x^2 + 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 7*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + 7*Sqrt[6])/24])/(2*6^(1/4)*Sqrt[3 - 7*x^2 + 2*x^4])");

}

// {1/Sqrt[-3 + 4*x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-3 + 4*x^2 - 2*x^4])}
public void test01472() {
	check("Integrate[1/Sqrt[-3 + 4*x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-3 + 4*x^2 - 2*x^4])");

}

// {1/Sqrt[-3 + 3*x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-3 + 3*x^2 - 2*x^4])}
public void test01473() {
	check("Integrate[1/Sqrt[-3 + 3*x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-3 + 3*x^2 - 2*x^4])");

}

// {1/Sqrt[-3 + 2*x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-3 + 2*x^2 - 2*x^4])}
public void test01474() {
	check("Integrate[1/Sqrt[-3 + 2*x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-3 + 2*x^2 - 2*x^4])");

}

// {1/Sqrt[-3 + x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 - x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-3 + x^2 - 2*x^4])}
public void test01475() {
	check("Integrate[1/Sqrt[-3 + x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 - x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-3 + x^2 - 2*x^4])");

}

// {1/Sqrt[-3 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[-3 - 2*x^4])}
public void test01476() {
	check("Integrate[1/Sqrt[-3 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[-3 - 2*x^4])");

}

// {1/Sqrt[-3 - x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-3 - x^2 - 2*x^4])}
public void test01477() {
	check("Integrate[1/Sqrt[-3 - x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-3 - x^2 - 2*x^4])");

}

// {1/Sqrt[-3 - 2*x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-3 - 2*x^2 - 2*x^4])}
public void test01478() {
	check("Integrate[1/Sqrt[-3 - 2*x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 2*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-3 - 2*x^2 - 2*x^4])");

}

// {1/Sqrt[-3 - 3*x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-3 - 3*x^2 - 2*x^4])}
public void test01479() {
	check("Integrate[1/Sqrt[-3 - 3*x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 3*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-3 - 3*x^2 - 2*x^4])");

}

// {1/Sqrt[-3 - 4*x^2 - 2*x^4], x, 1, ((3 + Sqrt[6]*x^2)*Sqrt[(3 + 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-3 - 4*x^2 - 2*x^4])}
public void test01480() {
	check("Integrate[1/Sqrt[-3 - 4*x^2 - 2*x^4], x]", "((3 + Sqrt[6]*x^2)*Sqrt[(3 + 4*x^2 + 2*x^4)/(3 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(2/3)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-3 - 4*x^2 - 2*x^4])");

}

// {1/Sqrt[-2 + 4*x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-2 + 4*x^2 - 3*x^4])}
public void test01481() {
	check("Integrate[1/Sqrt[-2 + 4*x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 + 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-2 + 4*x^2 - 3*x^4])");

}

// {1/Sqrt[-2 + 3*x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-2 + 3*x^2 - 3*x^4])}
public void test01482() {
	check("Integrate[1/Sqrt[-2 + 3*x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 + Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-2 + 3*x^2 - 3*x^4])");

}

// {1/Sqrt[-2 + 2*x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-2 + 2*x^2 - 3*x^4])}
public void test01483() {
	check("Integrate[1/Sqrt[-2 + 2*x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 + Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-2 + 2*x^2 - 3*x^4])");

}

// {1/Sqrt[-2 + x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 - x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-2 + x^2 - 3*x^4])}
public void test01484() {
	check("Integrate[1/Sqrt[-2 + x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 - x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 + Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-2 + x^2 - 3*x^4])");

}

// {1/Sqrt[-2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[-2 - 3*x^4])}
public void test01485() {
	check("Integrate[1/Sqrt[-2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2])/(2*6^(1/4)*Sqrt[-2 - 3*x^4])");

}

// {1/Sqrt[-2 - x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-2 - x^2 - 3*x^4])}
public void test01486() {
	check("Integrate[1/Sqrt[-2 - x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (12 - Sqrt[6])/24])/(2*6^(1/4)*Sqrt[-2 - x^2 - 3*x^4])");

}

// {1/Sqrt[-2 - 2*x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-2 - 2*x^2 - 3*x^4])}
public void test01487() {
	check("Integrate[1/Sqrt[-2 - 2*x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 2*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (6 - Sqrt[6])/12])/(2*6^(1/4)*Sqrt[-2 - 2*x^2 - 3*x^4])");

}

// {1/Sqrt[-2 - 3*x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-2 - 3*x^2 - 3*x^4])}
public void test01488() {
	check("Integrate[1/Sqrt[-2 - 3*x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 3*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], (4 - Sqrt[6])/8])/(2*6^(1/4)*Sqrt[-2 - 3*x^2 - 3*x^4])");

}

// {1/Sqrt[-2 - 4*x^2 - 3*x^4], x, 1, ((2 + Sqrt[6]*x^2)*Sqrt[(2 + 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-2 - 4*x^2 - 3*x^4])}
public void test01489() {
	check("Integrate[1/Sqrt[-2 - 4*x^2 - 3*x^4], x]", "((2 + Sqrt[6]*x^2)*Sqrt[(2 + 4*x^2 + 3*x^4)/(2 + Sqrt[6]*x^2)^2]*EllipticF[2*ArcTan[(3/2)^(1/4)*x], 1/2 - 1/Sqrt[6]])/(2*6^(1/4)*Sqrt[-2 - 4*x^2 - 3*x^4])");

}

// {1/Sqrt[2 + 5*x^2 + 5*x^4], x, 1, ((2 + Sqrt[10]*x^2)*Sqrt[(2 + 5*x^2 + 5*x^4)/(2 + Sqrt[10]*x^2)^2]*EllipticF[2*ArcTan[(5/2)^(1/4)*x], (4 - Sqrt[10])/8])/(2*10^(1/4)*Sqrt[2 + 5*x^2 + 5*x^4])}
public void test01490() {
	check("Integrate[1/Sqrt[2 + 5*x^2 + 5*x^4], x]", "((2 + Sqrt[10]*x^2)*Sqrt[(2 + 5*x^2 + 5*x^4)/(2 + Sqrt[10]*x^2)^2]*EllipticF[2*ArcTan[(5/2)^(1/4)*x], (4 - Sqrt[10])/8])/(2*10^(1/4)*Sqrt[2 + 5*x^2 + 5*x^4])");

}

// {1/Sqrt[2 + 5*x^2 + 4*x^4], x, 1, ((1 + Sqrt[2]*x^2)*Sqrt[(2 + 5*x^2 + 4*x^4)/(1 + Sqrt[2]*x^2)^2]*EllipticF[2*ArcTan[2^(1/4)*x], (8 - 5*Sqrt[2])/16])/(2*2^(3/4)*Sqrt[2 + 5*x^2 + 4*x^4])}
public void test01491() {
	check("Integrate[1/Sqrt[2 + 5*x^2 + 4*x^4], x]", "((1 + Sqrt[2]*x^2)*Sqrt[(2 + 5*x^2 + 4*x^4)/(1 + Sqrt[2]*x^2)^2]*EllipticF[2*ArcTan[2^(1/4)*x], (8 - 5*Sqrt[2])/16])/(2*2^(3/4)*Sqrt[2 + 5*x^2 + 4*x^4])");

}

// {1/Sqrt[2 + 5*x^2 + 3*x^4], x, 1, ((1 + x^2)*Sqrt[(2 + 3*x^2)/(1 + x^2)]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[2 + 5*x^2 + 3*x^4])}
public void test01492() {
	check("Integrate[1/Sqrt[2 + 5*x^2 + 3*x^4], x]", "((1 + x^2)*Sqrt[(2 + 3*x^2)/(1 + x^2)]*EllipticF[ArcTan[x], -1/2])/(Sqrt[2]*Sqrt[2 + 5*x^2 + 3*x^4])");

}

// {1/Sqrt[2 + 5*x^2 + 2*x^4], x, 1, (Sqrt[(2 + x^2)/(1 + 2*x^2)]*(1 + 2*x^2)*EllipticF[ArcTan[Sqrt[2]*x], 3/4])/(2*Sqrt[2 + 5*x^2 + 2*x^4])}
public void test01493() {
	check("Integrate[1/Sqrt[2 + 5*x^2 + 2*x^4], x]", "(Sqrt[(2 + x^2)/(1 + 2*x^2)]*(1 + 2*x^2)*EllipticF[ArcTan[Sqrt[2]*x], 3/4])/(2*Sqrt[2 + 5*x^2 + 2*x^4])");

}

// {1/Sqrt[2 + 5*x^2 + x^4], x, 1, (Sqrt[(4 + (5 - Sqrt[17])*x^2)/(4 + (5 + Sqrt[17])*x^2)]*(4 + (5 + Sqrt[17])*x^2)*EllipticF[ArcTan[(Sqrt[5 + Sqrt[17]]*x)/2], (-17 + 5*Sqrt[17])/4])/(2*Sqrt[5 + Sqrt[17]]*Sqrt[2 + 5*x^2 + x^4])}
public void test01494() {
	check("Integrate[1/Sqrt[2 + 5*x^2 + x^4], x]", "(Sqrt[(4 + (5 - Sqrt[17])*x^2)/(4 + (5 + Sqrt[17])*x^2)]*(4 + (5 + Sqrt[17])*x^2)*EllipticF[ArcTan[(Sqrt[5 + Sqrt[17]]*x)/2], (-17 + 5*Sqrt[17])/4])/(2*Sqrt[5 + Sqrt[17]]*Sqrt[2 + 5*x^2 + x^4])");

}

// {b*x^2 + c*x^4, x, 1, (b*x^3)/3 + (c*x^5)/5}
public void test01495() {
	check("Integrate[b*x^2 + c*x^4, x]", "(b*x^3)/3 + (c*x^5)/5");

}

// {x^5/(b*x^2 + c*x^4)^2, x, 1, -x^2/(2*c*(b*x^2 + c*x^4))}
public void test01496() {
	check("Integrate[x^5/(b*x^2 + c*x^4)^2, x]", "-x^2/(2*c*(b*x^2 + c*x^4))");

}

// {x^7/(b*x^2 + c*x^4)^3, x, 1, -x^4/(4*c*(b*x^2 + c*x^4)^2)}
public void test01497() {
	check("Integrate[x^7/(b*x^2 + c*x^4)^3, x]", "-x^4/(4*c*(b*x^2 + c*x^4)^2)");

}

// {Sqrt[b*x^2 + c*x^4]/x^5, x, 1, -(b*x^2 + c*x^4)^(3/2)/(3*b*x^6)}
public void test01498() {
	check("Integrate[Sqrt[b*x^2 + c*x^4]/x^5, x]", "-(b*x^2 + c*x^4)^(3/2)/(3*b*x^6)");

}

// {Sqrt[b*x^2 + c*x^4], x, 1, (b*x^2 + c*x^4)^(3/2)/(3*c*x^3)}
public void test01499() {
	check("Integrate[Sqrt[b*x^2 + c*x^4], x]", "(b*x^2 + c*x^4)^(3/2)/(3*c*x^3)");

}

// {(b*x^2 + c*x^4)^(3/2)/x^9, x, 1, -(b*x^2 + c*x^4)^(5/2)/(5*b*x^10)}
public void test01500() {
	check("Integrate[(b*x^2 + c*x^4)^(3/2)/x^9, x]", "-(b*x^2 + c*x^4)^(5/2)/(5*b*x^10)");

}

// {(b*x^2 + c*x^4)^(3/2)/x^2, x, 1, (b*x^2 + c*x^4)^(5/2)/(5*c*x^5)}
public void test01501() {
	check("Integrate[(b*x^2 + c*x^4)^(3/2)/x^2, x]", "(b*x^2 + c*x^4)^(5/2)/(5*c*x^5)");

}

// {1/(x*Sqrt[b*x^2 + c*x^4]), x, 1, -(Sqrt[b*x^2 + c*x^4]/(b*x^2))}
public void test01502() {
	check("Integrate[1/(x*Sqrt[b*x^2 + c*x^4]), x]", "-(Sqrt[b*x^2 + c*x^4]/(b*x^2))");

}

// {x^2/Sqrt[b*x^2 + c*x^4], x, 1, Sqrt[b*x^2 + c*x^4]/(c*x)}
public void test01503() {
	check("Integrate[x^2/Sqrt[b*x^2 + c*x^4], x]", "Sqrt[b*x^2 + c*x^4]/(c*x)");

}

// {x^3/(b*x^2 + c*x^4)^(3/2), x, 1, x^2/(b*Sqrt[b*x^2 + c*x^4])}
public void test01504() {
	check("Integrate[x^3/(b*x^2 + c*x^4)^(3/2), x]", "x^2/(b*Sqrt[b*x^2 + c*x^4])");

}

// {x^4/(b*x^2 + c*x^4)^(3/2), x, 1, -(x/(c*Sqrt[b*x^2 + c*x^4]))}
public void test01505() {
	check("Integrate[x^4/(b*x^2 + c*x^4)^(3/2), x]", "-(x/(c*Sqrt[b*x^2 + c*x^4]))");

}

// {a^2 + 2*a*b*x^2 + b^2*x^4, x, 1, a^2*x + (2*a*b*x^3)/3 + (b^2*x^5)/5}
public void test01506() {
	check("Integrate[a^2 + 2*a*b*x^2 + b^2*x^4, x]", "a^2*x + (2*a*b*x^3)/3 + (b^2*x^5)/5");

}

// {Sqrt[a^2 + 2*a*b*x^2 + b^2*x^4]/x^7, x, 1, -((a + b*x^2)*Sqrt[a^2 + 2*a*b*x^2 + b^2*x^4])/(4*a*x^6) + (a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2)/(12*a^2*x^6)}
public void test01507() {
	check("Integrate[Sqrt[a^2 + 2*a*b*x^2 + b^2*x^4]/x^7, x]", "-((a + b*x^2)*Sqrt[a^2 + 2*a*b*x^2 + b^2*x^4])/(4*a*x^6) + (a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2)/(12*a^2*x^6)");

}

// {(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2)/x^11, x, 1, -((a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2))/(8*a*x^10) + (a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2)/(40*a^2*x^10)}
public void test01508() {
	check("Integrate[(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2)/x^11, x]", "-((a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2))/(8*a*x^10) + (a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2)/(40*a^2*x^10)");

}

// {(a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2)/x^15, x, 1, -((a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2))/(12*a*x^14) + (a^2 + 2*a*b*x^2 + b^2*x^4)^(7/2)/(84*a^2*x^14)}
public void test01509() {
	check("Integrate[(a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2)/x^15, x]", "-((a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2))/(12*a*x^14) + (a^2 + 2*a*b*x^2 + b^2*x^4)^(7/2)/(84*a^2*x^14)");

}

// {x^5/(a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2), x, 1, x^6/(24*a^2*(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2)) + x^6/(8*a*(a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2))}
public void test01510() {
	check("Integrate[x^5/(a^2 + 2*a*b*x^2 + b^2*x^4)^(5/2), x]", "x^6/(24*a^2*(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2)) + x^6/(8*a*(a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^(3/2))");

}

// {a + b*x^2 + c*x^4, x, 1, a*x + (b*x^3)/3 + (c*x^5)/5}
public void test01511() {
	check("Integrate[a + b*x^2 + c*x^4, x]", "a*x + (b*x^3)/3 + (c*x^5)/5");

}

// {1/Sqrt[a + b*x^2 + c*x^4], x, 1, ((Sqrt[a] + Sqrt[c]*x^2)*Sqrt[(a + b*x^2 + c*x^4)/(Sqrt[a] + Sqrt[c]*x^2)^2]*EllipticF[2*ArcTan[(c^(1/4)*x)/a^(1/4)], (2 - b/(Sqrt[a]*Sqrt[c]))/4])/(2*a^(1/4)*c^(1/4)*Sqrt[a + b*x^2 + c*x^4])}
public void test01512() {
	check("Integrate[1/Sqrt[a + b*x^2 + c*x^4], x]", "((Sqrt[a] + Sqrt[c]*x^2)*Sqrt[(a + b*x^2 + c*x^4)/(Sqrt[a] + Sqrt[c]*x^2)^2]*EllipticF[2*ArcTan[(c^(1/4)*x)/a^(1/4)], (2 - b/(Sqrt[a]*Sqrt[c]))/4])/(2*a^(1/4)*c^(1/4)*Sqrt[a + b*x^2 + c*x^4])");

}

// {(1 - b*x^2)/Sqrt[1 + b^2*x^4], x, 1, -((x*Sqrt[1 + b^2*x^4])/(1 + b*x^2)) + ((1 + b*x^2)*Sqrt[(1 + b^2*x^4)/(1 + b*x^2)^2]*EllipticE[2*ArcTan[Sqrt[b]*x], 1/2])/(Sqrt[b]*Sqrt[1 + b^2*x^4])}
public void test01513() {
	check("Integrate[(1 - b*x^2)/Sqrt[1 + b^2*x^4], x]", "-((x*Sqrt[1 + b^2*x^4])/(1 + b*x^2)) + ((1 + b*x^2)*Sqrt[(1 + b^2*x^4)/(1 + b*x^2)^2]*EllipticE[2*ArcTan[Sqrt[b]*x], 1/2])/(Sqrt[b]*Sqrt[1 + b^2*x^4])");

}

// {(1 - b*x^2)/Sqrt[-1 - b^2*x^4], x, 1, (x*Sqrt[-1 - b^2*x^4])/(1 + b*x^2) + ((1 + b*x^2)*Sqrt[(1 + b^2*x^4)/(1 + b*x^2)^2]*EllipticE[2*ArcTan[Sqrt[b]*x], 1/2])/(Sqrt[b]*Sqrt[-1 - b^2*x^4])}
public void test01514() {
	check("Integrate[(1 - b*x^2)/Sqrt[-1 - b^2*x^4], x]", "(x*Sqrt[-1 - b^2*x^4])/(1 + b*x^2) + ((1 + b*x^2)*Sqrt[(1 + b^2*x^4)/(1 + b*x^2)^2]*EllipticE[2*ArcTan[Sqrt[b]*x], 1/2])/(Sqrt[b]*Sqrt[-1 - b^2*x^4])");

}

// {Sqrt[1 + c^2*x^2]/Sqrt[1 - c^2*x^2], x, 1, EllipticE[ArcSin[c*x], -1]/c}
public void test01515() {
	check("Integrate[Sqrt[1 + c^2*x^2]/Sqrt[1 - c^2*x^2], x]", "EllipticE[ArcSin[c*x], -1]/c");

}

// {1/((a + b*x^2)*Sqrt[4 - d*x^4]), x, 1, EllipticPi[(-2*b)/(a*Sqrt[d]), ArcSin[(d^(1/4)*x)/Sqrt[2]], -1]/(Sqrt[2]*a*d^(1/4))}
public void test01516() {
	check("Integrate[1/((a + b*x^2)*Sqrt[4 - d*x^4]), x]", "EllipticPi[(-2*b)/(a*Sqrt[d]), ArcSin[(d^(1/4)*x)/Sqrt[2]], -1]/(Sqrt[2]*a*d^(1/4))");

}

// {(1 + b*x^4)^p, x, 1, x*Hypergeometric2F1[1/4, -p, 5/4, -(b*x^4)]}
public void test01517() {
	check("Integrate[(1 + b*x^4)^p, x]", "x*Hypergeometric2F1[1/4, -p, 5/4, -(b*x^4)]");

}

// {Sqrt[1 + x^2 + x^4]/(1 + x^2)^2, x, 1, ((1 + x^2)*Sqrt[(1 + x^2 + x^4)/(1 + x^2)^2]*EllipticE[2*ArcTan[x], 1/4])/(2*Sqrt[1 + x^2 + x^4])}
public void test01518() {
	check("Integrate[Sqrt[1 + x^2 + x^4]/(1 + x^2)^2, x]", "((1 + x^2)*Sqrt[(1 + x^2 + x^4)/(1 + x^2)^2]*EllipticE[2*ArcTan[x], 1/4])/(2*Sqrt[1 + x^2 + x^4])");

}

// {1/Sqrt[2 + 3*x^2 + x^4], x, 1, ((1 + x^2)*Sqrt[(2 + x^2)/(1 + x^2)]*EllipticF[ArcTan[x], 1/2])/(Sqrt[2]*Sqrt[2 + 3*x^2 + x^4])}
public void test01519() {
	check("Integrate[1/Sqrt[2 + 3*x^2 + x^4], x]", "((1 + x^2)*Sqrt[(2 + x^2)/(1 + x^2)]*EllipticF[ArcTan[x], 1/2])/(Sqrt[2]*Sqrt[2 + 3*x^2 + x^4])");

}

// {1/Sqrt[4 + 3*x^2 + x^4], x, 1, ((2 + x^2)*Sqrt[(4 + 3*x^2 + x^4)/(2 + x^2)^2]*EllipticF[2*ArcTan[x/Sqrt[2]], 1/8])/(2*Sqrt[2]*Sqrt[4 + 3*x^2 + x^4])}
public void test01520() {
	check("Integrate[1/Sqrt[4 + 3*x^2 + x^4], x]", "((2 + x^2)*Sqrt[(4 + 3*x^2 + x^4)/(2 + x^2)^2]*EllipticF[2*ArcTan[x/Sqrt[2]], 1/8])/(2*Sqrt[2]*Sqrt[4 + 3*x^2 + x^4])");

}

// {x*(a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^p, x, 1, (a^2 + 2*a*b*x^2 + b^2*x^4)^(1 + p)/(4*b*(1 + p))}
public void test01521() {
	check("Integrate[x*(a + b*x^2)*(a^2 + 2*a*b*x^2 + b^2*x^4)^p, x]", "(a^2 + 2*a*b*x^2 + b^2*x^4)^(1 + p)/(4*b*(1 + p))");

}

// {(a*g - c*g*x^4)/(a + b*x^2 + c*x^4)^(3/2), x, 1, (g*x)/Sqrt[a + b*x^2 + c*x^4]}
public void test01522() {
	check("Integrate[(a*g - c*g*x^4)/(a + b*x^2 + c*x^4)^(3/2), x]", "(g*x)/Sqrt[a + b*x^2 + c*x^4]");

}

// {x^2*(a + b*x^2 + c*x^4)^p*(3*a + b*(5 + 2*p)*x^2 + c*(7 + 4*p)*x^4), x, 1, x^3*(a + b*x^2 + c*x^4)^(1 + p)}
public void test01523() {
	check("Integrate[x^2*(a + b*x^2 + c*x^4)^p*(3*a + b*(5 + 2*p)*x^2 + c*(7 + 4*p)*x^4), x]", "x^3*(a + b*x^2 + c*x^4)^(1 + p)");

}

// {Sqrt[a + b*x^2 - c*x^4]/(a*d + c*d*x^4), x, 1, -(Sqrt[b + Sqrt[b^2 + 4*a*c]]*ArcTan[(Sqrt[b + Sqrt[b^2 + 4*a*c]]*x*(b - Sqrt[b^2 + 4*a*c] - 2*c*x^2))/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*Sqrt[a + b*x^2 - c*x^4])])/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*d) + (Sqrt[-b + Sqrt[b^2 + 4*a*c]]*ArcTanh[(Sqrt[-b + Sqrt[b^2 + 4*a*c]]*x*(b + Sqrt[b^2 + 4*a*c] - 2*c*x^2))/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*Sqrt[a + b*x^2 - c*x^4])])/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*d)}
public void test01524() {
	check("Integrate[Sqrt[a + b*x^2 - c*x^4]/(a*d + c*d*x^4), x]", "-(Sqrt[b + Sqrt[b^2 + 4*a*c]]*ArcTan[(Sqrt[b + Sqrt[b^2 + 4*a*c]]*x*(b - Sqrt[b^2 + 4*a*c] - 2*c*x^2))/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*Sqrt[a + b*x^2 - c*x^4])])/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*d) + (Sqrt[-b + Sqrt[b^2 + 4*a*c]]*ArcTanh[(Sqrt[-b + Sqrt[b^2 + 4*a*c]]*x*(b + Sqrt[b^2 + 4*a*c] - 2*c*x^2))/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*Sqrt[a + b*x^2 - c*x^4])])/(2*Sqrt[2]*Sqrt[a]*Sqrt[c]*d)");

}

// {(Sqrt[a] + Sqrt[c]*x^2)/((d + e*x^2)*Sqrt[a + b*x^2 + c*x^4]), x, 1, -((Sqrt[c]*d - Sqrt[a]*e)*ArcTan[(Sqrt[-b + (c*d)/e + (a*e)/d]*x)/Sqrt[a + b*x^2 + c*x^4]])/(2*d*e*Sqrt[-b + (c*d)/e + (a*e)/d]) + ((Sqrt[c]*d + Sqrt[a]*e)*(Sqrt[a] + Sqrt[c]*x^2)*Sqrt[(a + b*x^2 + c*x^4)/(Sqrt[a] + Sqrt[c]*x^2)^2]*EllipticPi[-(Sqrt[c]*d - Sqrt[a]*e)^2/(4*Sqrt[a]*Sqrt[c]*d*e), 2*ArcTan[(c^(1/4)*x)/a^(1/4)], (2 - b/(Sqrt[a]*Sqrt[c]))/4])/(4*a^(1/4)*c^(1/4)*d*e*Sqrt[a + b*x^2 + c*x^4])}
public void test01525() {
	check("Integrate[(Sqrt[a] + Sqrt[c]*x^2)/((d + e*x^2)*Sqrt[a + b*x^2 + c*x^4]), x]", "-((Sqrt[c]*d - Sqrt[a]*e)*ArcTan[(Sqrt[-b + (c*d)/e + (a*e)/d]*x)/Sqrt[a + b*x^2 + c*x^4]])/(2*d*e*Sqrt[-b + (c*d)/e + (a*e)/d]) + ((Sqrt[c]*d + Sqrt[a]*e)*(Sqrt[a] + Sqrt[c]*x^2)*Sqrt[(a + b*x^2 + c*x^4)/(Sqrt[a] + Sqrt[c]*x^2)^2]*EllipticPi[-(Sqrt[c]*d - Sqrt[a]*e)^2/(4*Sqrt[a]*Sqrt[c]*d*e), 2*ArcTan[(c^(1/4)*x)/a^(1/4)], (2 - b/(Sqrt[a]*Sqrt[c]))/4])/(4*a^(1/4)*c^(1/4)*d*e*Sqrt[a + b*x^2 + c*x^4])");

}

// {(1 + Sqrt[c/a]*x^2)/((d + e*x^2)*Sqrt[a + b*x^2 + c*x^4]), x, 1, -((Sqrt[c/a]*d - e)*ArcTan[(Sqrt[-b + (c*d)/e + (a*e)/d]*x)/Sqrt[a + b*x^2 + c*x^4]])/(2*d*e*Sqrt[-b + (c*d)/e + (a*e)/d]) + ((Sqrt[c/a]*d + e)*(1 + Sqrt[c/a]*x^2)*Sqrt[(a + b*x^2 + c*x^4)/(a*(1 + Sqrt[c/a]*x^2)^2)]*EllipticPi[-(Sqrt[c/a]*d - e)^2/(4*Sqrt[c/a]*d*e), 2*ArcTan[(c/a)^(1/4)*x], (2 - (b*Sqrt[c/a])/c)/4])/(4*(c/a)^(1/4)*d*e*Sqrt[a + b*x^2 + c*x^4])}
public void test01526() {
	check("Integrate[(1 + Sqrt[c/a]*x^2)/((d + e*x^2)*Sqrt[a + b*x^2 + c*x^4]), x]", "-((Sqrt[c/a]*d - e)*ArcTan[(Sqrt[-b + (c*d)/e + (a*e)/d]*x)/Sqrt[a + b*x^2 + c*x^4]])/(2*d*e*Sqrt[-b + (c*d)/e + (a*e)/d]) + ((Sqrt[c/a]*d + e)*(1 + Sqrt[c/a]*x^2)*Sqrt[(a + b*x^2 + c*x^4)/(a*(1 + Sqrt[c/a]*x^2)^2)]*EllipticPi[-(Sqrt[c/a]*d - e)^2/(4*Sqrt[c/a]*d*e), 2*ArcTan[(c/a)^(1/4)*x], (2 - (b*Sqrt[c/a])/c)/4])/(4*(c/a)^(1/4)*d*e*Sqrt[a + b*x^2 + c*x^4])");

}

// {(a*x^3 + b*x^6)^(2/3), x, 1, (a*x^3 + b*x^6)^(5/3)/(5*b*x^5)}
public void test01527() {
	check("Integrate[(a*x^3 + b*x^6)^(2/3), x]", "(a*x^3 + b*x^6)^(5/3)/(5*b*x^5)");

}

// {(a*x^3 + b*x^6)^(-2/3), x, 1, -((a*x^3 + b*x^6)^(1/3)/(a*x^2))}
public void test01528() {
	check("Integrate[(a*x^3 + b*x^6)^(-2/3), x]", "-((a*x^3 + b*x^6)^(1/3)/(a*x^2))");

}

// {x^(-1 - n*(-1 + p))*(b*x^n + c*x^(2*n))^p, x, 1, (b*x^n + c*x^(2*n))^(1 + p)/(c*n*(1 + p)*x^(n*(1 + p)))}
public void test01529() {
	check("Integrate[x^(-1 - n*(-1 + p))*(b*x^n + c*x^(2*n))^p, x]", "(b*x^n + c*x^(2*n))^(1 + p)/(c*n*(1 + p)*x^(n*(1 + p)))");

}

// {x^(-1 - n*(1 + 2*p))*(b*x^n + c*x^(2*n))^p, x, 1, -((b*x^n + c*x^(2*n))^(1 + p)/(b*n*(1 + p)*x^(2*n*(1 + p))))}
public void test01530() {
	check("Integrate[x^(-1 - n*(1 + 2*p))*(b*x^n + c*x^(2*n))^p, x]", "-((b*x^n + c*x^(2*n))^(1 + p)/(b*n*(1 + p)*x^(2*n*(1 + p))))");

}

// {(b + 2*c*x)*(a + b*x + c*x^2)^13, x, 1, (a + b*x + c*x^2)^14/14}
public void test01531() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2)^13, x]", "(a + b*x + c*x^2)^14/14");

}

// {x*(b + 2*c*x^2)*(a + b*x^2 + c*x^4)^13, x, 1, (a + b*x^2 + c*x^4)^14/28}
public void test01532() {
	check("Integrate[x*(b + 2*c*x^2)*(a + b*x^2 + c*x^4)^13, x]", "(a + b*x^2 + c*x^4)^14/28");

}

// {x^2*(b + 2*c*x^3)*(a + b*x^3 + c*x^6)^13, x, 1, (a + b*x^3 + c*x^6)^14/42}
public void test01533() {
	check("Integrate[x^2*(b + 2*c*x^3)*(a + b*x^3 + c*x^6)^13, x]", "(a + b*x^3 + c*x^6)^14/42");

}

// {(b + 2*c*x)*(-a + b*x + c*x^2)^13, x, 1, (a - b*x - c*x^2)^14/14}
public void test01534() {
	check("Integrate[(b + 2*c*x)*(-a + b*x + c*x^2)^13, x]", "(a - b*x - c*x^2)^14/14");

}

// {x*(b + 2*c*x^2)*(-a + b*x^2 + c*x^4)^13, x, 1, (a - b*x^2 - c*x^4)^14/28}
public void test01535() {
	check("Integrate[x*(b + 2*c*x^2)*(-a + b*x^2 + c*x^4)^13, x]", "(a - b*x^2 - c*x^4)^14/28");

}

// {x^2*(b + 2*c*x^3)*(-a + b*x^3 + c*x^6)^13, x, 1, (a - b*x^3 - c*x^6)^14/42}
public void test01536() {
	check("Integrate[x^2*(b + 2*c*x^3)*(-a + b*x^3 + c*x^6)^13, x]", "(a - b*x^3 - c*x^6)^14/42");

}

// {(b + 2*c*x)*(b*x + c*x^2)^13, x, 1, (b*x + c*x^2)^14/14}
public void test01537() {
	check("Integrate[(b + 2*c*x)*(b*x + c*x^2)^13, x]", "(b*x + c*x^2)^14/14");

}

// {x*(b + 2*c*x^2)*(b*x^2 + c*x^4)^13, x, 1, (b*x^2 + c*x^4)^14/28}
public void test01538() {
	check("Integrate[x*(b + 2*c*x^2)*(b*x^2 + c*x^4)^13, x]", "(b*x^2 + c*x^4)^14/28");

}

// {x^2*(b + 2*c*x^3)*(b*x^3 + c*x^6)^13, x, 1, (b*x^3 + c*x^6)^14/42}
public void test01539() {
	check("Integrate[x^2*(b + 2*c*x^3)*(b*x^3 + c*x^6)^13, x]", "(b*x^3 + c*x^6)^14/42");

}

// {(b + 2*c*x)/(a + b*x + c*x^2), x, 1, Log[a + b*x + c*x^2]}
public void test01540() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2), x]", "Log[a + b*x + c*x^2]");

}

// {(x*(b + 2*c*x^2))/(a + b*x^2 + c*x^4), x, 1, Log[a + b*x^2 + c*x^4]/2}
public void test01541() {
	check("Integrate[(x*(b + 2*c*x^2))/(a + b*x^2 + c*x^4), x]", "Log[a + b*x^2 + c*x^4]/2");

}

// {(x^2*(b + 2*c*x^3))/(a + b*x^3 + c*x^6), x, 1, Log[a + b*x^3 + c*x^6]/3}
public void test01542() {
	check("Integrate[(x^2*(b + 2*c*x^3))/(a + b*x^3 + c*x^6), x]", "Log[a + b*x^3 + c*x^6]/3");

}

// {(b + 2*c*x)/(a + b*x + c*x^2)^8, x, 1, -1/(7*(a + b*x + c*x^2)^7)}
public void test01543() {
	check("Integrate[(b + 2*c*x)/(a + b*x + c*x^2)^8, x]", "-1/(7*(a + b*x + c*x^2)^7)");

}

// {(x*(b + 2*c*x^2))/(a + b*x^2 + c*x^4)^8, x, 1, -1/(14*(a + b*x^2 + c*x^4)^7)}
public void test01544() {
	check("Integrate[(x*(b + 2*c*x^2))/(a + b*x^2 + c*x^4)^8, x]", "-1/(14*(a + b*x^2 + c*x^4)^7)");

}

// {(x^2*(b + 2*c*x^3))/(a + b*x^3 + c*x^6)^8, x, 1, -1/(21*(a + b*x^3 + c*x^6)^7)}
public void test01545() {
	check("Integrate[(x^2*(b + 2*c*x^3))/(a + b*x^3 + c*x^6)^8, x]", "-1/(21*(a + b*x^3 + c*x^6)^7)");

}

// {(b + 2*c*x)/(-a + b*x + c*x^2), x, 1, Log[a - b*x - c*x^2]}
public void test01546() {
	check("Integrate[(b + 2*c*x)/(-a + b*x + c*x^2), x]", "Log[a - b*x - c*x^2]");

}

// {(x*(b + 2*c*x^2))/(-a + b*x^2 + c*x^4), x, 1, Log[a - b*x^2 - c*x^4]/2}
public void test01547() {
	check("Integrate[(x*(b + 2*c*x^2))/(-a + b*x^2 + c*x^4), x]", "Log[a - b*x^2 - c*x^4]/2");

}

// {(x^2*(b + 2*c*x^3))/(-a + b*x^3 + c*x^6), x, 1, Log[a - b*x^3 - c*x^6]/3}
public void test01548() {
	check("Integrate[(x^2*(b + 2*c*x^3))/(-a + b*x^3 + c*x^6), x]", "Log[a - b*x^3 - c*x^6]/3");

}

// {(b + 2*c*x)/(-a + b*x + c*x^2)^8, x, 1, 1/(7*(a - b*x - c*x^2)^7)}
public void test01549() {
	check("Integrate[(b + 2*c*x)/(-a + b*x + c*x^2)^8, x]", "1/(7*(a - b*x - c*x^2)^7)");

}

// {(x*(b + 2*c*x^2))/(-a + b*x^2 + c*x^4)^8, x, 1, 1/(14*(a - b*x^2 - c*x^4)^7)}
public void test01550() {
	check("Integrate[(x*(b + 2*c*x^2))/(-a + b*x^2 + c*x^4)^8, x]", "1/(14*(a - b*x^2 - c*x^4)^7)");

}

// {(x^2*(b + 2*c*x^3))/(-a + b*x^3 + c*x^6)^8, x, 1, 1/(21*(a - b*x^3 - c*x^6)^7)}
public void test01551() {
	check("Integrate[(x^2*(b + 2*c*x^3))/(-a + b*x^3 + c*x^6)^8, x]", "1/(21*(a - b*x^3 - c*x^6)^7)");

}

// {(b + 2*c*x)/(b*x + c*x^2), x, 1, Log[b*x + c*x^2]}
public void test01552() {
	check("Integrate[(b + 2*c*x)/(b*x + c*x^2), x]", "Log[b*x + c*x^2]");

}

// {(x*(b + 2*c*x^2))/(b*x^2 + c*x^4), x, 1, Log[b*x^2 + c*x^4]/2}
public void test01553() {
	check("Integrate[(x*(b + 2*c*x^2))/(b*x^2 + c*x^4), x]", "Log[b*x^2 + c*x^4]/2");

}

// {(x^2*(b + 2*c*x^3))/(b*x^3 + c*x^6), x, 1, Log[b*x^3 + c*x^6]/3}
public void test01554() {
	check("Integrate[(x^2*(b + 2*c*x^3))/(b*x^3 + c*x^6), x]", "Log[b*x^3 + c*x^6]/3");

}

// {(b + 2*c*x)/(b*x + c*x^2)^8, x, 1, -1/(7*(b*x + c*x^2)^7)}
public void test01555() {
	check("Integrate[(b + 2*c*x)/(b*x + c*x^2)^8, x]", "-1/(7*(b*x + c*x^2)^7)");

}

// {(x*(b + 2*c*x^2))/(b*x^2 + c*x^4)^8, x, 1, -1/(14*(b*x^2 + c*x^4)^7)}
public void test01556() {
	check("Integrate[(x*(b + 2*c*x^2))/(b*x^2 + c*x^4)^8, x]", "-1/(14*(b*x^2 + c*x^4)^7)");

}

// {(x^2*(b + 2*c*x^3))/(b*x^3 + c*x^6)^8, x, 1, -1/(21*(b*x^3 + c*x^6)^7)}
public void test01557() {
	check("Integrate[(x^2*(b + 2*c*x^3))/(b*x^3 + c*x^6)^8, x]", "-1/(21*(b*x^3 + c*x^6)^7)");

}

// {(b + 2*c*x)*(a + b*x + c*x^2)^p, x, 1, (a + b*x + c*x^2)^(1 + p)/(1 + p)}
public void test01558() {
	check("Integrate[(b + 2*c*x)*(a + b*x + c*x^2)^p, x]", "(a + b*x + c*x^2)^(1 + p)/(1 + p)");

}

// {x*(b + 2*c*x^2)*(a + b*x^2 + c*x^4)^p, x, 1, (a + b*x^2 + c*x^4)^(1 + p)/(2*(1 + p))}
public void test01559() {
	check("Integrate[x*(b + 2*c*x^2)*(a + b*x^2 + c*x^4)^p, x]", "(a + b*x^2 + c*x^4)^(1 + p)/(2*(1 + p))");

}

// {x^2*(b + 2*c*x^3)*(a + b*x^3 + c*x^6)^p, x, 1, (a + b*x^3 + c*x^6)^(1 + p)/(3*(1 + p))}
public void test01560() {
	check("Integrate[x^2*(b + 2*c*x^3)*(a + b*x^3 + c*x^6)^p, x]", "(a + b*x^3 + c*x^6)^(1 + p)/(3*(1 + p))");

}

// {(b + 2*c*x)*(-a + b*x + c*x^2)^p, x, 1, (-a + b*x + c*x^2)^(1 + p)/(1 + p)}
public void test01561() {
	check("Integrate[(b + 2*c*x)*(-a + b*x + c*x^2)^p, x]", "(-a + b*x + c*x^2)^(1 + p)/(1 + p)");

}

// {x*(b + 2*c*x^2)*(-a + b*x^2 + c*x^4)^p, x, 1, (-a + b*x^2 + c*x^4)^(1 + p)/(2*(1 + p))}
public void test01562() {
	check("Integrate[x*(b + 2*c*x^2)*(-a + b*x^2 + c*x^4)^p, x]", "(-a + b*x^2 + c*x^4)^(1 + p)/(2*(1 + p))");

}

// {x^2*(b + 2*c*x^3)*(-a + b*x^3 + c*x^6)^p, x, 1, (-a + b*x^3 + c*x^6)^(1 + p)/(3*(1 + p))}
public void test01563() {
	check("Integrate[x^2*(b + 2*c*x^3)*(-a + b*x^3 + c*x^6)^p, x]", "(-a + b*x^3 + c*x^6)^(1 + p)/(3*(1 + p))");

}

// {(b + 2*c*x)*(b*x + c*x^2)^p, x, 1, (b*x + c*x^2)^(1 + p)/(1 + p)}
public void test01564() {
	check("Integrate[(b + 2*c*x)*(b*x + c*x^2)^p, x]", "(b*x + c*x^2)^(1 + p)/(1 + p)");

}

// {x*(b + 2*c*x^2)*(b*x^2 + c*x^4)^p, x, 1, (b*x^2 + c*x^4)^(1 + p)/(2*(1 + p))}
public void test01565() {
	check("Integrate[x*(b + 2*c*x^2)*(b*x^2 + c*x^4)^p, x]", "(b*x^2 + c*x^4)^(1 + p)/(2*(1 + p))");

}

// {x^2*(b + 2*c*x^3)*(b*x^3 + c*x^6)^p, x, 1, (b*x^3 + c*x^6)^(1 + p)/(3*(1 + p))}
public void test01566() {
	check("Integrate[x^2*(b + 2*c*x^3)*(b*x^3 + c*x^6)^p, x]", "(b*x^3 + c*x^6)^(1 + p)/(3*(1 + p))");

}

// {(a + b*x^n + c*x^(2*n))^p*(a + b*(1 + n + n*p)*x^n + c*(1 + 2*n*(1 + p))*x^(2*n)), x, 1, x*(a + b*x^n + c*x^(2*n))^(1 + p)}
public void test01567() {
	check("Integrate[(a + b*x^n + c*x^(2*n))^p*(a + b*(1 + n + n*p)*x^n + c*(1 + 2*n*(1 + p))*x^(2*n)), x]", "x*(a + b*x^n + c*x^(2*n))^(1 + p)");

}

// {(x^(-1 + n/4)*(-(a*h) + c*f*x^(n/4) + c*g*x^((3*n)/4) + c*h*x^n))/(a + c*x^n)^(3/2), x, 1, (-2*(a*g + 2*a*h*x^(n/4) - c*f*x^(n/2)))/(a*n*Sqrt[a + c*x^n])}
public void test01568() {
	check("Integrate[(x^(-1 + n/4)*(-(a*h) + c*f*x^(n/4) + c*g*x^((3*n)/4) + c*h*x^n))/(a + c*x^n)^(3/2), x]", "(-2*(a*g + 2*a*h*x^(n/4) - c*f*x^(n/2)))/(a*n*Sqrt[a + c*x^n])");

}

// {(x^(-1 + n/2)*(-(a*h) + c*f*x^(n/2) + c*g*x^((3*n)/2) + c*h*x^(2*n)))/(a + b*x^n + c*x^(2*n))^(3/2), x, 1, (-2*(c*(b*f - 2*a*g) + (b^2 - 4*a*c)*h*x^(n/2) + c*(2*c*f - b*g)*x^n))/((b^2 - 4*a*c)*n*Sqrt[a + b*x^n + c*x^(2*n)])}
public void test01569() {
	check("Integrate[(x^(-1 + n/2)*(-(a*h) + c*f*x^(n/2) + c*g*x^((3*n)/2) + c*h*x^(2*n)))/(a + b*x^n + c*x^(2*n))^(3/2), x]", "(-2*(c*(b*f - 2*a*g) + (b^2 - 4*a*c)*h*x^(n/2) + c*(2*c*f - b*g)*x^n))/((b^2 - 4*a*c)*n*Sqrt[a + b*x^n + c*x^(2*n)])");

}

// {(g*x)^m*(a + b*x^n + c*x^(2*n))^p*(a*(1 + m) + b*(1 + m + n + n*p)*x^n + c*(1 + m + 2*n*(1 + p))*x^(2*n)), x, 1, ((g*x)^(1 + m)*(a + b*x^n + c*x^(2*n))^(1 + p))/g}
public void test01570() {
	check("Integrate[(g*x)^m*(a + b*x^n + c*x^(2*n))^p*(a*(1 + m) + b*(1 + m + n + n*p)*x^n + c*(1 + m + 2*n*(1 + p))*x^(2*n)), x]", "((g*x)^(1 + m)*(a + b*x^n + c*x^(2*n))^(1 + p))/g");

}

// {a*x^2 + b*x^3 + c*x^4, x, 1, (a*x^3)/3 + (b*x^4)/4 + (c*x^5)/5}
public void test01571() {
	check("Integrate[a*x^2 + b*x^3 + c*x^4, x]", "(a*x^3)/3 + (b*x^4)/4 + (c*x^5)/5");

}

// {x^4/(a*x^2 + b*x^3 + c*x^4)^(3/2), x, 1, (2*x*(2*a + b*x))/((b^2 - 4*a*c)*Sqrt[a*x^2 + b*x^3 + c*x^4])}
public void test01572() {
	check("Integrate[x^4/(a*x^2 + b*x^3 + c*x^4)^(3/2), x]", "(2*x*(2*a + b*x))/((b^2 - 4*a*c)*Sqrt[a*x^2 + b*x^3 + c*x^4])");

}

// {x^3/(a*x^2 + b*x^3 + c*x^4)^(3/2), x, 1, (-2*x*(b + 2*c*x))/((b^2 - 4*a*c)*Sqrt[a*x^2 + b*x^3 + c*x^4])}
public void test01573() {
	check("Integrate[x^3/(a*x^2 + b*x^3 + c*x^4)^(3/2), x]", "(-2*x*(b + 2*c*x))/((b^2 - 4*a*c)*Sqrt[a*x^2 + b*x^3 + c*x^4])");

}

// {a*x + b*x^3 + c*x^5, x, 1, (a*x^2)/2 + (b*x^4)/4 + (c*x^6)/6}
public void test01574() {
	check("Integrate[a*x + b*x^3 + c*x^5, x]", "(a*x^2)/2 + (b*x^4)/4 + (c*x^6)/6");

}

// {x^((3*(-1 + n))/2)/(a*x^(-1 + n) + b*x^n + c*x^(1 + n))^(3/2), x, 1, (-2*x^((-1 + n)/2)*(b + 2*c*x))/((b^2 - 4*a*c)*Sqrt[a*x^(-1 + n) + b*x^n + c*x^(1 + n)])}
public void test01575() {
	check("Integrate[x^((3*(-1 + n))/2)/(a*x^(-1 + n) + b*x^n + c*x^(1 + n))^(3/2), x]", "(-2*x^((-1 + n)/2)*(b + 2*c*x))/((b^2 - 4*a*c)*Sqrt[a*x^(-1 + n) + b*x^n + c*x^(1 + n)])");

}

// {a^3 + 3*a^2*b*x + 3*a*b^2*x^2 + b^3*x^3, x, 1, a^3*x + (3*a^2*b*x^2)/2 + a*b^2*x^3 + (b^3*x^4)/4}
public void test01576() {
	check("Integrate[a^3 + 3*a^2*b*x + 3*a*b^2*x^2 + b^3*x^3, x]", "a^3*x + (3*a^2*b*x^2)/2 + a*b^2*x^3 + (b^3*x^4)/4");

}

// {3*a*b + 3*b^2*x + 3*b*c*x^2 + c^2*x^3, x, 1, 3*a*b*x + (3*b^2*x^2)/2 + b*c*x^3 + (c^2*x^4)/4}
public void test01577() {
	check("Integrate[3*a*b + 3*b^2*x + 3*b*c*x^2 + c^2*x^3, x]", "3*a*b*x + (3*b^2*x^2)/2 + b*c*x^3 + (c^2*x^4)/4");

}

// {a*c*e + (b*c*e + a*d*e + a*c*f)*x + (b*d*e + b*c*f + a*d*f)*x^2 + b*d*f*x^3, x, 1, a*c*e*x + ((b*c*e + a*d*e + a*c*f)*x^2)/2 + ((b*d*e + b*c*f + a*d*f)*x^3)/3 + (b*d*f*x^4)/4}
public void test01578() {
	check("Integrate[a*c*e + (b*c*e + a*d*e + a*c*f)*x + (b*d*e + b*c*f + a*d*f)*x^2 + b*d*f*x^3, x]", "a*c*e*x + ((b*c*e + a*d*e + a*c*f)*x^2)/2 + ((b*d*e + b*c*f + a*d*f)*x^3)/3 + (b*d*f*x^4)/4");

}

// {4*a*c + 4*c^2*x^2 + 4*c*d*x^3 + d^2*x^4, x, 1, 4*a*c*x + (4*c^2*x^3)/3 + c*d*x^4 + (d^2*x^5)/5}
public void test01579() {
	check("Integrate[4*a*c + 4*c^2*x^2 + 4*c*d*x^3 + d^2*x^4, x]", "4*a*c*x + (4*c^2*x^3)/3 + c*d*x^4 + (d^2*x^5)/5");

}

// {8*a*e^2 - d^3*x + 8*d*e^2*x^3 + 8*e^3*x^4, x, 1, 8*a*e^2*x - (d^3*x^2)/2 + 2*d*e^2*x^4 + (8*e^3*x^5)/5}
public void test01580() {
	check("Integrate[8*a*e^2 - d^3*x + 8*d*e^2*x^3 + 8*e^3*x^4, x]", "8*a*e^2*x - (d^3*x^2)/2 + 2*d*e^2*x^4 + (8*e^3*x^5)/5");

}

// {8 + 8*x - x^3 + 8*x^4, x, 1, 8*x + 4*x^2 - x^4/4 + (8*x^5)/5}
public void test01581() {
	check("Integrate[8 + 8*x - x^3 + 8*x^4, x]", "8*x + 4*x^2 - x^4/4 + (8*x^5)/5");

}

// {1 + 4*x + 4*x^2 + 4*x^4, x, 1, x + 2*x^2 + (4*x^3)/3 + (4*x^5)/5}
public void test01582() {
	check("Integrate[1 + 4*x + 4*x^2 + 4*x^4, x]", "x + 2*x^2 + (4*x^3)/3 + (4*x^5)/5");

}

// {8 + 24*x + 8*x^2 - 15*x^3 + 8*x^4, x, 1, 8*x + 12*x^2 + (8*x^3)/3 - (15*x^4)/4 + (8*x^5)/5}
public void test01583() {
	check("Integrate[8 + 24*x + 8*x^2 - 15*x^3 + 8*x^4, x]", "8*x + 12*x^2 + (8*x^3)/3 - (15*x^4)/4 + (8*x^5)/5");

}

// {3 - 19*x^2 + 32*x^4 - 16*x^6, x, 1, 3*x - (19*x^3)/3 + (32*x^5)/5 - (16*x^7)/7}
public void test01584() {
	check("Integrate[3 - 19*x^2 + 32*x^4 - 16*x^6, x]", "3*x - (19*x^3)/3 + (32*x^5)/5 - (16*x^7)/7");

}

// {a + 8*x - 8*x^2 + 4*x^3 - x^4, x, 1, a*x + 4*x^2 - (8*x^3)/3 + x^4 - x^5/5}
public void test01585() {
	check("Integrate[a + 8*x - 8*x^2 + 4*x^3 - x^4, x]", "a*x + 4*x^2 - (8*x^3)/3 + x^4 - x^5/5");

}

// {(b + 2*c*x)*(b*x + c*x^2)^13, x, 1, (b*x + c*x^2)^14/14}
public void test01586() {
	check("Integrate[(b + 2*c*x)*(b*x + c*x^2)^13, x]", "(b*x + c*x^2)^14/14");

}

// {x^14*(b + 2*c*x^2)*(b*x + c*x^3)^13, x, 1, (x^14*(b*x + c*x^3)^14)/28}
public void test01587() {
	check("Integrate[x^14*(b + 2*c*x^2)*(b*x + c*x^3)^13, x]", "(x^14*(b*x + c*x^3)^14)/28");

}

// {x^28*(b + 2*c*x^3)*(b*x + c*x^4)^13, x, 1, (x^28*(b*x + c*x^4)^14)/42}
public void test01588() {
	check("Integrate[x^28*(b + 2*c*x^3)*(b*x + c*x^4)^13, x]", "(x^28*(b*x + c*x^4)^14)/42");

}

// {(b + 2*c*x)/(b*x + c*x^2), x, 1, Log[b*x + c*x^2]}
public void test01589() {
	check("Integrate[(b + 2*c*x)/(b*x + c*x^2), x]", "Log[b*x + c*x^2]");

}

// {(b + 2*c*x)/(b*x + c*x^2)^8, x, 1, -1/(7*(b*x + c*x^2)^7)}
public void test01590() {
	check("Integrate[(b + 2*c*x)/(b*x + c*x^2)^8, x]", "-1/(7*(b*x + c*x^2)^7)");

}

// {(b + 2*c*x^2)/(x^7*(b*x + c*x^3)^8), x, 1, -1/(14*x^7*(b*x + c*x^3)^7)}
public void test01591() {
	check("Integrate[(b + 2*c*x^2)/(x^7*(b*x + c*x^3)^8), x]", "-1/(14*x^7*(b*x + c*x^3)^7)");

}

// {(b + 2*c*x^3)/(x^14*(b*x + c*x^4)^8), x, 1, -1/(21*x^14*(b*x + c*x^4)^7)}
public void test01592() {
	check("Integrate[(b + 2*c*x^3)/(x^14*(b*x + c*x^4)^8), x]", "-1/(21*x^14*(b*x + c*x^4)^7)");

}

// {(b + 2*c*x)*(b*x + c*x^2)^p, x, 1, (b*x + c*x^2)^(1 + p)/(1 + p)}
public void test01593() {
	check("Integrate[(b + 2*c*x)*(b*x + c*x^2)^p, x]", "(b*x + c*x^2)^(1 + p)/(1 + p)");

}

// {x^(1 + p)*(b + 2*c*x^2)*(b*x + c*x^3)^p, x, 1, (x^(1 + p)*(b*x + c*x^3)^(1 + p))/(2*(1 + p))}
public void test01594() {
	check("Integrate[x^(1 + p)*(b + 2*c*x^2)*(b*x + c*x^3)^p, x]", "(x^(1 + p)*(b*x + c*x^3)^(1 + p))/(2*(1 + p))");

}

// {x^(2*(1 + p))*(b + 2*c*x^3)*(b*x + c*x^4)^p, x, 1, (x^(2*(1 + p))*(b*x + c*x^4)^(1 + p))/(3*(1 + p))}
public void test01595() {
	check("Integrate[x^(2*(1 + p))*(b + 2*c*x^3)*(b*x + c*x^4)^p, x]", "(x^(2*(1 + p))*(b*x + c*x^4)^(1 + p))/(3*(1 + p))");

}

// {x^((-1 + n)*(1 + p))*(b + 2*c*x^n)*(b*x + c*x^(1 + n))^p, x, 1, (b*x + c*x^(1 + n))^(1 + p)/(n*(1 + p)*x^((1 - n)*(1 + p)))}
public void test01596() {
	check("Integrate[x^((-1 + n)*(1 + p))*(b + 2*c*x^n)*(b*x + c*x^(1 + n))^p, x]", "(b*x + c*x^(1 + n))^(1 + p)/(n*(1 + p)*x^((1 - n)*(1 + p)))");

}

// {(b + 2*c*x + 3*d*x^2)*(a + b*x + c*x^2 + d*x^3)^n, x, 1, (a + b*x + c*x^2 + d*x^3)^(1 + n)/(1 + n)}
public void test01597() {
	check("Integrate[(b + 2*c*x + 3*d*x^2)*(a + b*x + c*x^2 + d*x^3)^n, x]", "(a + b*x + c*x^2 + d*x^3)^(1 + n)/(1 + n)");

}

// {(b + 2*c*x + 3*d*x^2)*(b*x + c*x^2 + d*x^3)^n, x, 1, (b*x + c*x^2 + d*x^3)^(1 + n)/(1 + n)}
public void test01598() {
	check("Integrate[(b + 2*c*x + 3*d*x^2)*(b*x + c*x^2 + d*x^3)^n, x]", "(b*x + c*x^2 + d*x^3)^(1 + n)/(1 + n)");

}

// {x^n*(b + c*x + d*x^2)^n*(b + 2*c*x + 3*d*x^2), x, 1, (x^(1 + n)*(b + c*x + d*x^2)^(1 + n))/(1 + n)}
public void test01599() {
	check("Integrate[x^n*(b + c*x + d*x^2)^n*(b + 2*c*x + 3*d*x^2), x]", "(x^(1 + n)*(b + c*x + d*x^2)^(1 + n))/(1 + n)");

}

// {(b + 3*d*x^2)*(a + b*x + d*x^3)^n, x, 1, (a + b*x + d*x^3)^(1 + n)/(1 + n)}
public void test01600() {
	check("Integrate[(b + 3*d*x^2)*(a + b*x + d*x^3)^n, x]", "(a + b*x + d*x^3)^(1 + n)/(1 + n)");

}

// {(b + 3*d*x^2)*(b*x + d*x^3)^n, x, 1, (b*x + d*x^3)^(1 + n)/(1 + n)}
public void test01601() {
	check("Integrate[(b + 3*d*x^2)*(b*x + d*x^3)^n, x]", "(b*x + d*x^3)^(1 + n)/(1 + n)");

}

// {x^n*(b + d*x^2)^n*(b + 3*d*x^2), x, 1, (x^(1 + n)*(b + d*x^2)^(1 + n))/(1 + n)}
public void test01602() {
	check("Integrate[x^n*(b + d*x^2)^n*(b + 3*d*x^2), x]", "(x^(1 + n)*(b + d*x^2)^(1 + n))/(1 + n)");

}

// {(2*c*x + 3*d*x^2)*(a + c*x^2 + d*x^3)^n, x, 1, (a + c*x^2 + d*x^3)^(1 + n)/(1 + n)}
public void test01603() {
	check("Integrate[(2*c*x + 3*d*x^2)*(a + c*x^2 + d*x^3)^n, x]", "(a + c*x^2 + d*x^3)^(1 + n)/(1 + n)");

}

// {(2*c*x + 3*d*x^2)*(c*x^2 + d*x^3)^n, x, 1, (c*x^2 + d*x^3)^(1 + n)/(1 + n)}
public void test01604() {
	check("Integrate[(2*c*x + 3*d*x^2)*(c*x^2 + d*x^3)^n, x]", "(c*x^2 + d*x^3)^(1 + n)/(1 + n)");

}

// {x^n*(c*x + d*x^2)^n*(2*c*x + 3*d*x^2), x, 1, (x^(1 + n)*(c*x + d*x^2)^(1 + n))/(1 + n)}
public void test01605() {
	check("Integrate[x^n*(c*x + d*x^2)^n*(2*c*x + 3*d*x^2), x]", "(x^(1 + n)*(c*x + d*x^2)^(1 + n))/(1 + n)");

}

// {x^(2*n)*(c + d*x)^n*(2*c*x + 3*d*x^2), x, 1, (x^(2*(1 + n))*(c + d*x)^(1 + n))/(1 + n)}
public void test01606() {
	check("Integrate[x^(2*n)*(c + d*x)^n*(2*c*x + 3*d*x^2), x]", "(x^(2*(1 + n))*(c + d*x)^(1 + n))/(1 + n)");

}

// {x*(2*c + 3*d*x)*(a + c*x^2 + d*x^3)^n, x, 1, (a + c*x^2 + d*x^3)^(1 + n)/(1 + n)}
public void test01607() {
	check("Integrate[x*(2*c + 3*d*x)*(a + c*x^2 + d*x^3)^n, x]", "(a + c*x^2 + d*x^3)^(1 + n)/(1 + n)");

}

// {x*(2*c + 3*d*x)*(c*x^2 + d*x^3)^n, x, 1, (c*x^2 + d*x^3)^(1 + n)/(1 + n)}
public void test01608() {
	check("Integrate[x*(2*c + 3*d*x)*(c*x^2 + d*x^3)^n, x]", "(c*x^2 + d*x^3)^(1 + n)/(1 + n)");

}

// {(b + 2*c*x + 3*d*x^2)*(a + b*x + c*x^2 + d*x^3)^7, x, 1, (a + b*x + c*x^2 + d*x^3)^8/8}
public void test01609() {
	check("Integrate[(b + 2*c*x + 3*d*x^2)*(a + b*x + c*x^2 + d*x^3)^7, x]", "(a + b*x + c*x^2 + d*x^3)^8/8");

}

// {(b + 2*c*x + 3*d*x^2)*(b*x + c*x^2 + d*x^3)^7, x, 1, (b*x + c*x^2 + d*x^3)^8/8}
public void test01610() {
	check("Integrate[(b + 2*c*x + 3*d*x^2)*(b*x + c*x^2 + d*x^3)^7, x]", "(b*x + c*x^2 + d*x^3)^8/8");

}

// {x^7*(b + c*x + d*x^2)^7*(b + 2*c*x + 3*d*x^2), x, 1, (x^8*(b + c*x + d*x^2)^8)/8}
public void test01611() {
	check("Integrate[x^7*(b + c*x + d*x^2)^7*(b + 2*c*x + 3*d*x^2), x]", "(x^8*(b + c*x + d*x^2)^8)/8");

}

// {(b + 3*d*x^2)*(a + b*x + d*x^3)^7, x, 1, (a + b*x + d*x^3)^8/8}
public void test01612() {
	check("Integrate[(b + 3*d*x^2)*(a + b*x + d*x^3)^7, x]", "(a + b*x + d*x^3)^8/8");

}

// {x^7*(b + d*x^2)^7*(b + 3*d*x^2), x, 1, (x^8*(b + d*x^2)^8)/8}
public void test01613() {
	check("Integrate[x^7*(b + d*x^2)^7*(b + 3*d*x^2), x]", "(x^8*(b + d*x^2)^8)/8");

}

// {(b + 3*d*x^2)*(b*x + d*x^3)^7, x, 1, (b*x + d*x^3)^8/8}
public void test01614() {
	check("Integrate[(b + 3*d*x^2)*(b*x + d*x^3)^7, x]", "(b*x + d*x^3)^8/8");

}

// {(2*c*x + 3*d*x^2)*(a + c*x^2 + d*x^3)^7, x, 1, (a + c*x^2 + d*x^3)^8/8}
public void test01615() {
	check("Integrate[(2*c*x + 3*d*x^2)*(a + c*x^2 + d*x^3)^7, x]", "(a + c*x^2 + d*x^3)^8/8");

}

// {(2*c*x + 3*d*x^2)*(c*x^2 + d*x^3)^7, x, 1, (c*x^2 + d*x^3)^8/8}
public void test01616() {
	check("Integrate[(2*c*x + 3*d*x^2)*(c*x^2 + d*x^3)^7, x]", "(c*x^2 + d*x^3)^8/8");

}

// {x^7*(c*x + d*x^2)^7*(2*c*x + 3*d*x^2), x, 1, (x^8*(c*x + d*x^2)^8)/8}
public void test01617() {
	check("Integrate[x^7*(c*x + d*x^2)^7*(2*c*x + 3*d*x^2), x]", "(x^8*(c*x + d*x^2)^8)/8");

}

// {x^14*(c + d*x)^7*(2*c*x + 3*d*x^2), x, 1, (x^16*(c + d*x)^8)/8}
public void test01618() {
	check("Integrate[x^14*(c + d*x)^7*(2*c*x + 3*d*x^2), x]", "(x^16*(c + d*x)^8)/8");

}

// {x*(2*c + 3*d*x)*(a + c*x^2 + d*x^3)^7, x, 1, (a + c*x^2 + d*x^3)^8/8}
public void test01619() {
	check("Integrate[x*(2*c + 3*d*x)*(a + c*x^2 + d*x^3)^7, x]", "(a + c*x^2 + d*x^3)^8/8");

}

// {x*(2*c + 3*d*x)*(c*x^2 + d*x^3)^7, x, 1, (c*x^2 + d*x^3)^8/8}
public void test01620() {
	check("Integrate[x*(2*c + 3*d*x)*(c*x^2 + d*x^3)^7, x]", "(c*x^2 + d*x^3)^8/8");

}

// {x^8*(2*c + 3*d*x)*(c*x + d*x^2)^7, x, 1, (x^8*(c*x + d*x^2)^8)/8}
public void test01621() {
	check("Integrate[x^8*(2*c + 3*d*x)*(c*x + d*x^2)^7, x]", "(x^8*(c*x + d*x^2)^8)/8");

}

// {x^15*(c + d*x)^7*(2*c + 3*d*x), x, 1, (x^16*(c + d*x)^8)/8}
public void test01622() {
	check("Integrate[x^15*(c + d*x)^7*(2*c + 3*d*x), x]", "(x^16*(c + d*x)^8)/8");

}

// {(-4 + 4*x + x^2)*(5 - 12*x + 6*x^2 + x^3), x, 1, (5 - 12*x + 6*x^2 + x^3)^2/6}
public void test01623() {
	check("Integrate[(-4 + 4*x + x^2)*(5 - 12*x + 6*x^2 + x^3), x]", "(5 - 12*x + 6*x^2 + x^3)^2/6");

}

// {(2*x + x^3)*(1 + 4*x^2 + x^4), x, 1, (1 + 4*x^2 + x^4)^2/8}
public void test01624() {
	check("Integrate[(2*x + x^3)*(1 + 4*x^2 + x^4), x]", "(1 + 4*x^2 + x^4)^2/8");

}

// {(2 - x^2)/(1 - 6*x + x^3)^5, x, 1, 1/(12*(1 - 6*x + x^3)^4)}
public void test01625() {
	check("Integrate[(2 - x^2)/(1 - 6*x + x^3)^5, x]", "1/(12*(1 - 6*x + x^3)^4)");

}

// {(2*x + x^2)/(4 + 3*x^2 + x^3), x, 1, Log[4 + 3*x^2 + x^3]/3}
public void test01626() {
	check("Integrate[(2*x + x^2)/(4 + 3*x^2 + x^3), x]", "Log[4 + 3*x^2 + x^3]/3");

}

// {(1 + x + x^3)/(4*x + 2*x^2 + x^4), x, 1, Log[4*x + 2*x^2 + x^4]/4}
public void test01627() {
	check("Integrate[(1 + x + x^3)/(4*x + 2*x^2 + x^4), x]", "Log[4*x + 2*x^2 + x^4]/4");

}

// {(-1 + 4*x^5)/(1 + x + x^5)^2, x, 1, -(x/(1 + x + x^5))}
public void test01628() {
	check("Integrate[(-1 + 4*x^5)/(1 + x + x^5)^2, x]", "-(x/(1 + x + x^5))");

}

// {x^m*(a + b*x + c*x^2 + d*x^3)^p*(a*(1 + m) + x*(b*(2 + m + p) + x*(c*(3 + m + 2*p) + d*(4 + m + 3*p)*x))), x, 1, x^(1 + m)*(a + b*x + c*x^2 + d*x^3)^(1 + p)}
public void test01629() {
	check("Integrate[x^m*(a + b*x + c*x^2 + d*x^3)^p*(a*(1 + m) + x*(b*(2 + m + p) + x*(c*(3 + m + 2*p) + d*(4 + m + 3*p)*x))), x]", "x^(1 + m)*(a + b*x + c*x^2 + d*x^3)^(1 + p)");

}

// {x^2*(a + b*x + c*x^2 + d*x^3)^p*(3*a + b*(4 + p)*x + c*(5 + 2*p)*x^2 + d*(6 + 3*p)*x^3), x, 1, x^3*(a + b*x + c*x^2 + d*x^3)^(1 + p)}
public void test01630() {
	check("Integrate[x^2*(a + b*x + c*x^2 + d*x^3)^p*(3*a + b*(4 + p)*x + c*(5 + 2*p)*x^2 + d*(6 + 3*p)*x^3), x]", "x^3*(a + b*x + c*x^2 + d*x^3)^(1 + p)");

}

// {x*(a + b*x + c*x^2 + d*x^3)^p*(2*a + b*(3 + p)*x + c*(4 + 2*p)*x^2 + d*(5 + 3*p)*x^3), x, 1, x^2*(a + b*x + c*x^2 + d*x^3)^(1 + p)}
public void test01631() {
	check("Integrate[x*(a + b*x + c*x^2 + d*x^3)^p*(2*a + b*(3 + p)*x + c*(4 + 2*p)*x^2 + d*(5 + 3*p)*x^3), x]", "x^2*(a + b*x + c*x^2 + d*x^3)^(1 + p)");

}

// {(a + b*x + c*x^2 + d*x^3)^p*(a + b*(2 + p)*x + c*(3 + 2*p)*x^2 + d*(4 + 3*p)*x^3), x, 1, x*(a + b*x + c*x^2 + d*x^3)^(1 + p)}
public void test01632() {
	check("Integrate[(a + b*x + c*x^2 + d*x^3)^p*(a + b*(2 + p)*x + c*(3 + 2*p)*x^2 + d*(4 + 3*p)*x^3), x]", "x*(a + b*x + c*x^2 + d*x^3)^(1 + p)");

}

// {((a + b*x + c*x^2 + d*x^3)^p*(b*(1 + p)*x + c*(2 + 2*p)*x^2 + d*(3 + 3*p)*x^3))/x, x, 1, (a + b*x + c*x^2 + d*x^3)^(1 + p)}
public void test01633() {
	check("Integrate[((a + b*x + c*x^2 + d*x^3)^p*(b*(1 + p)*x + c*(2 + 2*p)*x^2 + d*(3 + 3*p)*x^3))/x, x]", "(a + b*x + c*x^2 + d*x^3)^(1 + p)");

}

// {((a + b*x + c*x^2 + d*x^3)^p*(-a + b*p*x + c*(1 + 2*p)*x^2 + d*(2 + 3*p)*x^3))/x^2, x, 1, (a + b*x + c*x^2 + d*x^3)^(1 + p)/x}
public void test01634() {
	check("Integrate[((a + b*x + c*x^2 + d*x^3)^p*(-a + b*p*x + c*(1 + 2*p)*x^2 + d*(2 + 3*p)*x^3))/x^2, x]", "(a + b*x + c*x^2 + d*x^3)^(1 + p)/x");

}

// {((a + b*x + c*x^2 + d*x^3)^p*(-2*a + b*(-1 + p)*x + 2*c*p*x^2 + d*(1 + 3*p)*x^3))/x^3, x, 1, (a + b*x + c*x^2 + d*x^3)^(1 + p)/x^2}
public void test01635() {
	check("Integrate[((a + b*x + c*x^2 + d*x^3)^p*(-2*a + b*(-1 + p)*x + 2*c*p*x^2 + d*(1 + 3*p)*x^3))/x^3, x]", "(a + b*x + c*x^2 + d*x^3)^(1 + p)/x^2");

}

// {((a + b*x + c*x^2 + d*x^3)^p*(-3*a + b*(-2 + p)*x + c*(-1 + 2*p)*x^2 + 3*d*p*x^3))/x^4, x, 1, (a + b*x + c*x^2 + d*x^3)^(1 + p)/x^3}
public void test01636() {
	check("Integrate[((a + b*x + c*x^2 + d*x^3)^p*(-3*a + b*(-2 + p)*x + c*(-1 + 2*p)*x^2 + 3*d*p*x^3))/x^4, x]", "(a + b*x + c*x^2 + d*x^3)^(1 + p)/x^3");

}

// {(-1 + 2*x)^(-1) - (1 + 2*x)^(-1), x, 1, Log[1 - 2*x]/2 - Log[1 + 2*x]/2}
public void test01637() {
	check("Integrate[(-1 + 2*x)^(-1) - (1 + 2*x)^(-1), x]", "Log[1 - 2*x]/2 - Log[1 + 2*x]/2");

}

// {x/(1 - x^2)^5, x, 1, 1/(8*(1 - x^2)^4)}
public void test01638() {
	check("Integrate[x/(1 - x^2)^5, x]", "1/(8*(1 - x^2)^4)");

}

// {a*c + (b*c + d)*x, x, 1, a*c*x + ((b*c + d)*x^2)/2}
public void test01639() {
	check("Integrate[a*c + (b*c + d)*x, x]", "a*c*x + ((b*c + d)*x^2)/2");

}

// {d*x + c*(a + b*x), x, 1, (d*x^2)/2 + (c*(a + b*x)^2)/(2*b)}
public void test01640() {
	check("Integrate[d*x + c*(a + b*x), x]", "(d*x^2)/2 + (c*(a + b*x)^2)/(2*b)");

}

// {(1 + x^2)/(3*x + x^3), x, 1, Log[3*x + x^3]/3}
public void test01641() {
	check("Integrate[(1 + x^2)/(3*x + x^3), x]", "Log[3*x + x^3]/3");

}

// {(a + 3*b*x^2)/(a*x + b*x^3), x, 1, Log[a*x + b*x^3]}
public void test01642() {
	check("Integrate[(a + 3*b*x^2)/(a*x + b*x^3), x]", "Log[a*x + b*x^3]");

}

// {(-x + 2*x^3)/(1 - x^2 + x^4), x, 1, Log[1 - x^2 + x^4]/2}
public void test01643() {
	check("Integrate[(-x + 2*x^3)/(1 - x^2 + x^4), x]", "Log[1 - x^2 + x^4]/2");

}

// {(x + 2*x^3)/(x^2 + x^4)^3, x, 1, -1/(4*(x^2 + x^4)^2)}
public void test01644() {
	check("Integrate[(x + 2*x^3)/(x^2 + x^4)^3, x]", "-1/(4*(x^2 + x^4)^2)");

}

// {x/(-1 + x^2), x, 1, Log[1 - x^2]/2}
public void test01645() {
	check("Integrate[x/(-1 + x^2), x]", "Log[1 - x^2]/2");

}

// {(2 + 3*x)^(-1), x, 1, Log[2 + 3*x]/3}
public void test01646() {
	check("Integrate[(2 + 3*x)^(-1), x]", "Log[2 + 3*x]/3");

}

// {(a^2 + x^2)^(-1), x, 1, ArcTan[x/a]/a}
public void test01647() {
	check("Integrate[(a^2 + x^2)^(-1), x]", "ArcTan[x/a]/a");

}

// {(a + b*x^2)^(-1), x, 1, ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])}
public void test01648() {
	check("Integrate[(a + b*x^2)^(-1), x]", "ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])");

}

// {(2*x + x^2)/(1 + x)^2, x, 1, x^2/(1 + x)}
public void test01649() {
	check("Integrate[(2*x + x^2)/(1 + x)^2, x]", "x^2/(1 + x)");

}

// {(-2 + 7*x)^3, x, 1, (2 - 7*x)^4/28}
public void test01650() {
	check("Integrate[(-2 + 7*x)^3, x]", "(2 - 7*x)^4/28");

}

// {1/((c + d*x)*(-c^3 + d^3*x^3)^(1/3)), x, 1, (Sqrt[3]*ArcTan[(1 - (2^(1/3)*(c - d*x))/(-c^3 + d^3*x^3)^(1/3))/Sqrt[3]])/(2*2^(1/3)*c*d) + Log[(c - d*x)*(c + d*x)^2]/(4*2^(1/3)*c*d) - (3*Log[d*(c - d*x) + 2^(2/3)*d*(-c^3 + d^3*x^3)^(1/3)])/(4*2^(1/3)*c*d)}
public void test01651() {
	check("Integrate[1/((c + d*x)*(-c^3 + d^3*x^3)^(1/3)), x]", "(Sqrt[3]*ArcTan[(1 - (2^(1/3)*(c - d*x))/(-c^3 + d^3*x^3)^(1/3))/Sqrt[3]])/(2*2^(1/3)*c*d) + Log[(c - d*x)*(c + d*x)^2]/(4*2^(1/3)*c*d) - (3*Log[d*(c - d*x) + 2^(2/3)*d*(-c^3 + d^3*x^3)^(1/3)])/(4*2^(1/3)*c*d)");

}

// {(c - d*x)/((c + d*x)*(2*c^3 + d^3*x^3)^(1/3)), x, 1, -((Sqrt[3]*ArcTan[(1 + (2*(2*c + d*x))/(2*c^3 + d^3*x^3)^(1/3))/Sqrt[3]])/d) - Log[c + d*x]/d + (3*Log[d*(2*c + d*x) - d*(2*c^3 + d^3*x^3)^(1/3)])/(2*d)}
public void test01652() {
	check("Integrate[(c - d*x)/((c + d*x)*(2*c^3 + d^3*x^3)^(1/3)), x]", "-((Sqrt[3]*ArcTan[(1 + (2*(2*c + d*x))/(2*c^3 + d^3*x^3)^(1/3))/Sqrt[3]])/d) - Log[c + d*x]/d + (3*Log[d*(2*c + d*x) - d*(2*c^3 + d^3*x^3)^(1/3)])/(2*d)");

}

// {1/Sqrt[a + c*x^4], x, 1, ((Sqrt[a] + Sqrt[c]*x^2)*Sqrt[(a + c*x^4)/(Sqrt[a] + Sqrt[c]*x^2)^2]*EllipticF[2*ArcTan[(c^(1/4)*x)/a^(1/4)], 1/2])/(2*a^(1/4)*c^(1/4)*Sqrt[a + c*x^4])}
public void test01653() {
	check("Integrate[1/Sqrt[a + c*x^4], x]", "((Sqrt[a] + Sqrt[c]*x^2)*Sqrt[(a + c*x^4)/(Sqrt[a] + Sqrt[c]*x^2)^2]*EllipticF[2*ArcTan[(c^(1/4)*x)/a^(1/4)], 1/2])/(2*a^(1/4)*c^(1/4)*Sqrt[a + c*x^4])");

}

// {Sqrt[1 + Sqrt[1 - x^2]], x, 1, (-2*x^3)/(3*(1 + Sqrt[1 - x^2])^(3/2)) + (2*x)/Sqrt[1 + Sqrt[1 - x^2]]}
public void test01654() {
	check("Integrate[Sqrt[1 + Sqrt[1 - x^2]], x]", "(-2*x^3)/(3*(1 + Sqrt[1 - x^2])^(3/2)) + (2*x)/Sqrt[1 + Sqrt[1 - x^2]]");

}

// {Sqrt[1 + Sqrt[1 + x^2]], x, 1, (2*x^3)/(3*(1 + Sqrt[1 + x^2])^(3/2)) + (2*x)/Sqrt[1 + Sqrt[1 + x^2]]}
public void test01655() {
	check("Integrate[Sqrt[1 + Sqrt[1 + x^2]], x]", "(2*x^3)/(3*(1 + Sqrt[1 + x^2])^(3/2)) + (2*x)/Sqrt[1 + Sqrt[1 + x^2]]");

}

// {Sqrt[5 + Sqrt[25 + x^2]], x, 1, (2*x^3)/(3*(5 + Sqrt[25 + x^2])^(3/2)) + (10*x)/Sqrt[5 + Sqrt[25 + x^2]]}
public void test01656() {
	check("Integrate[Sqrt[5 + Sqrt[25 + x^2]], x]", "(2*x^3)/(3*(5 + Sqrt[25 + x^2])^(3/2)) + (10*x)/Sqrt[5 + Sqrt[25 + x^2]]");

}

// {Sqrt[a + b*Sqrt[a^2/b^2 + c*x^2]], x, 1, (2*b^2*c*x^3)/(3*(a + b*Sqrt[a^2/b^2 + c*x^2])^(3/2)) + (2*a*x)/Sqrt[a + b*Sqrt[a^2/b^2 + c*x^2]]}
public void test01657() {
	check("Integrate[Sqrt[a + b*Sqrt[a^2/b^2 + c*x^2]], x]", "(2*b^2*c*x^3)/(3*(a + b*Sqrt[a^2/b^2 + c*x^2])^(3/2)) + (2*a*x)/Sqrt[a + b*Sqrt[a^2/b^2 + c*x^2]]");

}

// {(-1 + x^3)/(-4*x + x^4)^(2/3), x, 1, (3*(-4*x + x^4)^(1/3))/4}
public void test01658() {
	check("Integrate[(-1 + x^3)/(-4*x + x^4)^(2/3), x]", "(3*(-4*x + x^4)^(1/3))/4");

}

// {(2 - x^2)*(6*x - x^3)^(1/4), x, 1, (4*(6*x - x^3)^(5/4))/15}
public void test01659() {
	check("Integrate[(2 - x^2)*(6*x - x^3)^(1/4), x]", "(4*(6*x - x^3)^(5/4))/15");

}

// {(1 + x^4)*Sqrt[5*x + x^5], x, 1, (2*(5*x + x^5)^(3/2))/15}
public void test01660() {
	check("Integrate[(1 + x^4)*Sqrt[5*x + x^5], x]", "(2*(5*x + x^5)^(3/2))/15");

}

// {(2 + 5*x^4)*Sqrt[2*x + x^5], x, 1, (2*(2*x + x^5)^(3/2))/3}
public void test01661() {
	check("Integrate[(2 + 5*x^4)*Sqrt[2*x + x^5], x]", "(2*(2*x + x^5)^(3/2))/3");

}

// {(x + 3*x^2)/Sqrt[x^2 + 2*x^3], x, 1, Sqrt[x^2 + 2*x^3]}
public void test01662() {
	check("Integrate[(x + 3*x^2)/Sqrt[x^2 + 2*x^3], x]", "Sqrt[x^2 + 2*x^3]");

}

// {x*(a + b*x + c*x^2)^m*(d + e*x + f*x^2 + g*x^3)^n*(2*a*d + (3*b*d + 3*a*e + b*d*m + a*e*n)*x + (4*c*d + 4*b*e + 4*a*f + 2*c*d*m + b*e*m + b*e*n + 2*a*f*n)*x^2 + (5*c*e + 5*b*f + 5*a*g + 2*c*e*m + b*f*m + c*e*n + 2*b*f*n + 3*a*g*n)*x^3 + (6*c*f + 6*b*g + 2*c*f*m + b*g*m + 2*c*f*n + 3*b*g*n)*x^4 + c*g*(7 + 2*m + 3*n)*x^5), x, 1, x^2*(a + b*x + c*x^2)^(1 + m)*(d + e*x + f*x^2 + g*x^3)^(1 + n)}
public void test01663() {
	check("Integrate[x*(a + b*x + c*x^2)^m*(d + e*x + f*x^2 + g*x^3)^n*(2*a*d + (3*b*d + 3*a*e + b*d*m + a*e*n)*x + (4*c*d + 4*b*e + 4*a*f + 2*c*d*m + b*e*m + b*e*n + 2*a*f*n)*x^2 + (5*c*e + 5*b*f + 5*a*g + 2*c*e*m + b*f*m + c*e*n + 2*b*f*n + 3*a*g*n)*x^3 + (6*c*f + 6*b*g + 2*c*f*m + b*g*m + 2*c*f*n + 3*b*g*n)*x^4 + c*g*(7 + 2*m + 3*n)*x^5), x]", "x^2*(a + b*x + c*x^2)^(1 + m)*(d + e*x + f*x^2 + g*x^3)^(1 + n)");

}

// {(a + b*x + c*x^2)^m*(d + e*x + f*x^2 + g*x^3)^n*(a*d + (2*b*d + 2*a*e + b*d*m + a*e*n)*x + (3*c*d + 3*b*e + 3*a*f + 2*c*d*m + b*e*m + b*e*n + 2*a*f*n)*x^2 + (4*c*e + 4*b*f + 4*a*g + 2*c*e*m + b*f*m + c*e*n + 2*b*f*n + 3*a*g*n)*x^3 + (5*c*f + 5*b*g + 2*c*f*m + b*g*m + 2*c*f*n + 3*b*g*n)*x^4 + c*g*(6 + 2*m + 3*n)*x^5), x, 1, x*(a + b*x + c*x^2)^(1 + m)*(d + e*x + f*x^2 + g*x^3)^(1 + n)}
public void test01664() {
	check("Integrate[(a + b*x + c*x^2)^m*(d + e*x + f*x^2 + g*x^3)^n*(a*d + (2*b*d + 2*a*e + b*d*m + a*e*n)*x + (3*c*d + 3*b*e + 3*a*f + 2*c*d*m + b*e*m + b*e*n + 2*a*f*n)*x^2 + (4*c*e + 4*b*f + 4*a*g + 2*c*e*m + b*f*m + c*e*n + 2*b*f*n + 3*a*g*n)*x^3 + (5*c*f + 5*b*g + 2*c*f*m + b*g*m + 2*c*f*n + 3*b*g*n)*x^4 + c*g*(6 + 2*m + 3*n)*x^5), x]", "x*(a + b*x + c*x^2)^(1 + m)*(d + e*x + f*x^2 + g*x^3)^(1 + n)");

}

// {(a + b*x + c*x^2)^m*(d + e*x + f*x^2 + g*x^3)^n*(b*d + a*e + b*d*m + a*e*n + (2*c*d + 2*b*e + 2*a*f + 2*c*d*m + b*e*m + b*e*n + 2*a*f*n)*x + (3*c*e + 3*b*f + 3*a*g + 2*c*e*m + b*f*m + c*e*n + 2*b*f*n + 3*a*g*n)*x^2 + (4*c*f + 4*b*g + 2*c*f*m + b*g*m + 2*c*f*n + 3*b*g*n)*x^3 + c*g*(5 + 2*m + 3*n)*x^4), x, 1, (a + b*x + c*x^2)^(1 + m)*(d + e*x + f*x^2 + g*x^3)^(1 + n)}
public void test01665() {
	check("Integrate[(a + b*x + c*x^2)^m*(d + e*x + f*x^2 + g*x^3)^n*(b*d + a*e + b*d*m + a*e*n + (2*c*d + 2*b*e + 2*a*f + 2*c*d*m + b*e*m + b*e*n + 2*a*f*n)*x + (3*c*e + 3*b*f + 3*a*g + 2*c*e*m + b*f*m + c*e*n + 2*b*f*n + 3*a*g*n)*x^2 + (4*c*f + 4*b*g + 2*c*f*m + b*g*m + 2*c*f*n + 3*b*g*n)*x^3 + c*g*(5 + 2*m + 3*n)*x^4), x]", "(a + b*x + c*x^2)^(1 + m)*(d + e*x + f*x^2 + g*x^3)^(1 + n)");

}

// {1/Sqrt[4 - 9*x^2], x, 1, ArcSin[(3*x)/2]/3}
public void test01666() {
	check("Integrate[1/Sqrt[4 - 9*x^2], x]", "ArcSin[(3*x)/2]/3");

}

// {1 - Sqrt[x], x, 1, x - (2*x^(3/2))/3}
public void test01667() {
	check("Integrate[1 - Sqrt[x], x]", "x - (2*x^(3/2))/3");

}

// {1/Sqrt[1 - x], x, 1, -2*Sqrt[1 - x]}
public void test01668() {
	check("Integrate[1/Sqrt[1 - x], x]", "-2*Sqrt[1 - x]");

}

// {1/Sqrt[1 + x], x, 1, 2*Sqrt[1 + x]}
public void test01669() {
	check("Integrate[1/Sqrt[1 + x], x]", "2*Sqrt[1 + x]");

}

// {Sqrt[1 - x], x, 1, (-2*(1 - x)^(3/2))/3}
public void test01670() {
	check("Integrate[Sqrt[1 - x], x]", "(-2*(1 - x)^(3/2))/3");

}

// {Sqrt[1 + x], x, 1, (2*(1 + x)^(3/2))/3}
public void test01671() {
	check("Integrate[Sqrt[1 + x], x]", "(2*(1 + x)^(3/2))/3");

}

// {1/Sqrt[1 - x^2], x, 1, ArcSin[x]}
public void test01672() {
	check("Integrate[1/Sqrt[1 - x^2], x]", "ArcSin[x]");

}

// {1/Sqrt[1 + x^2], x, 1, ArcSinh[x]}
public void test01673() {
	check("Integrate[1/Sqrt[1 + x^2], x]", "ArcSinh[x]");

}

// {Sqrt[1 - x]*Sqrt[x]*F[x], x, 1, CannotIntegrate[Sqrt[x - x^2]*F[x], x]}
public void test01674() {
	check("Integrate[Sqrt[1 - x]*Sqrt[x]*F[x], x]", "CannotIntegrate[Sqrt[x - x^2]*F[x], x]");

}

// {F[x]/(Sqrt[1 - x]*Sqrt[x]), x, 1, CannotIntegrate[F[x]/Sqrt[x - x^2], x]}
public void test01675() {
	check("Integrate[F[x]/(Sqrt[1 - x]*Sqrt[x]), x]", "CannotIntegrate[F[x]/Sqrt[x - x^2], x]");

}

// {f[(a + b*x)/x], x, 1, CannotIntegrate[f[b + a/x], x]}
public void test01676() {
	check("Integrate[f[(a + b*x)/x], x]", "CannotIntegrate[f[b + a/x], x]");

}

// {f[(a + b*x^2)/x^2], x, 1, CannotIntegrate[f[b + a/x^2], x]}
public void test01677() {
	check("Integrate[f[(a + b*x^2)/x^2], x]", "CannotIntegrate[f[b + a/x^2], x]");

}

// {(3 + x)/(6*x + x^2)^(1/3), x, 1, (3*(6*x + x^2)^(2/3))/4}
public void test01678() {
	check("Integrate[(3 + x)/(6*x + x^2)^(1/3), x]", "(3*(6*x + x^2)^(2/3))/4");

}

// {(4 + x)/(6*x - x^2)^(3/2), x, 1, -(12 - 7*x)/(9*Sqrt[6*x - x^2])}
public void test01679() {
	check("Integrate[(4 + x)/(6*x - x^2)^(3/2), x]", "-(12 - 7*x)/(9*Sqrt[6*x - x^2])");

}

// {(-1 + x)/Sqrt[2*x - x^2], x, 1, -Sqrt[2*x - x^2]}
public void test01680() {
	check("Integrate[(-1 + x)/Sqrt[2*x - x^2], x]", "-Sqrt[2*x - x^2]");

}

// {1/((1 + x)^(2/3)*(-1 + x^2)^(2/3)), x, 1, (3*(-1 + x^2)^(1/3))/(2*(1 + x)^(2/3))}
public void test01681() {
	check("Integrate[1/((1 + x)^(2/3)*(-1 + x^2)^(2/3)), x]", "(3*(-1 + x^2)^(1/3))/(2*(1 + x)^(2/3))");

}

// {(1 + 2*x)/Sqrt[x + x^2], x, 1, 2*Sqrt[x + x^2]}
public void test01682() {
	check("Integrate[(1 + 2*x)/Sqrt[x + x^2], x]", "2*Sqrt[x + x^2]");

}

// {1/(x*Sqrt[6*x - x^2]), x, 1, -Sqrt[6*x - x^2]/(3*x)}
public void test01683() {
	check("Integrate[1/(x*Sqrt[6*x - x^2]), x]", "-Sqrt[6*x - x^2]/(3*x)");

}

// {1 - Sqrt[x], x, 1, x - (2*x^(3/2))/3}
public void test01684() {
	check("Integrate[1 - Sqrt[x], x]", "x - (2*x^(3/2))/3");

}

// {1 - x^(1/4), x, 1, x - (4*x^(5/4))/5}
public void test01685() {
	check("Integrate[1 - x^(1/4), x]", "x - (4*x^(5/4))/5");

}

// {(e*f - e*f*x^2)/((a*d + b*d*x + a*d*x^2)*Sqrt[a + b*x + c*x^2 + b*x^3 + a*x^4]), x, 1, (e*f*ArcTan[(a*b + (4*a^2 + b^2 - 2*a*c)*x + a*b*x^2)/(2*a*Sqrt[2*a - c]*Sqrt[a + b*x + c*x^2 + b*x^3 + a*x^4])])/(a*Sqrt[2*a - c]*d)}
public void test01686() {
	check("Integrate[(e*f - e*f*x^2)/((a*d + b*d*x + a*d*x^2)*Sqrt[a + b*x + c*x^2 + b*x^3 + a*x^4]), x]", "(e*f*ArcTan[(a*b + (4*a^2 + b^2 - 2*a*c)*x + a*b*x^2)/(2*a*Sqrt[2*a - c]*Sqrt[a + b*x + c*x^2 + b*x^3 + a*x^4])])/(a*Sqrt[2*a - c]*d)");

}

// {(e*f - e*f*x^2)/((-(a*d) + b*d*x - a*d*x^2)*Sqrt[-a + b*x + c*x^2 + b*x^3 - a*x^4]), x, 1, (e*f*ArcTanh[(a*b - (4*a^2 + b^2 + 2*a*c)*x + a*b*x^2)/(2*a*Sqrt[2*a + c]*Sqrt[-a + b*x + c*x^2 + b*x^3 - a*x^4])])/(a*Sqrt[2*a + c]*d)}
public void test01687() {
	check("Integrate[(e*f - e*f*x^2)/((-(a*d) + b*d*x - a*d*x^2)*Sqrt[-a + b*x + c*x^2 + b*x^3 - a*x^4]), x]", "(e*f*ArcTanh[(a*b - (4*a^2 + b^2 + 2*a*c)*x + a*b*x^2)/(2*a*Sqrt[2*a + c]*Sqrt[-a + b*x + c*x^2 + b*x^3 - a*x^4])])/(a*Sqrt[2*a + c]*d)");

}

// {x + (1 - x^2)/(1 + x), x, 1, x}
public void test01688() {
	check("Integrate[x + (1 - x^2)/(1 + x), x]", "x");

}

// {F^(c*(a + b*x))*(d + e*x)^m, x, 1, (F^(c*(a - (b*d)/e))*(d + e*x)^m*Gamma[1 + m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^m)}
public void test01689() {
	check("Integrate[F^(c*(a + b*x))*(d + e*x)^m, x]", "(F^(c*(a - (b*d)/e))*(d + e*x)^m*Gamma[1 + m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^m)");

}

// {F^(c*(a + b*x)), x, 1, F^(c*(a + b*x))/(b*c*Log[F])}
public void test01690() {
	check("Integrate[F^(c*(a + b*x)), x]", "F^(c*(a + b*x))/(b*c*Log[F])");

}

// {F^(c*(a + b*x))/(d + e*x), x, 1, (F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e])/e}
public void test01691() {
	check("Integrate[F^(c*(a + b*x))/(d + e*x), x]", "(F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e])/e");

}

// {F^(c*(a + b*x))*(d + e*x)^m, x, 1, (F^(c*(a - (b*d)/e))*(d + e*x)^m*Gamma[1 + m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^m)}
public void test01692() {
	check("Integrate[F^(c*(a + b*x))*(d + e*x)^m, x]", "(F^(c*(a - (b*d)/e))*(d + e*x)^m*Gamma[1 + m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^m)");

}

// {F^(c*(a + b*x))/(d + e*x)^m, x, 1, (F^(c*(a - (b*d)/e))*Gamma[1 - m, -((b*c*(d + e*x)*Log[F])/e)]*(-((b*c*(d + e*x)*Log[F])/e))^m)/(b*c*(d + e*x)^m*Log[F])}
public void test01693() {
	check("Integrate[F^(c*(a + b*x))/(d + e*x)^m, x]", "(F^(c*(a - (b*d)/e))*Gamma[1 - m, -((b*c*(d + e*x)*Log[F])/e)]*(-((b*c*(d + e*x)*Log[F])/e))^m)/(b*c*(d + e*x)^m*Log[F])");

}

// {F^(2 + 5*x), x, 1, F^(2 + 5*x)/(5*Log[F])}
public void test01694() {
	check("Integrate[F^(2 + 5*x), x]", "F^(2 + 5*x)/(5*Log[F])");

}

// {F^(a + b*x), x, 1, F^(a + b*x)/(b*Log[F])}
public void test01695() {
	check("Integrate[F^(a + b*x), x]", "F^(a + b*x)/(b*Log[F])");

}

// {10^(2 + 5*x), x, 1, (2^(2 + 5*x)*5^(1 + 5*x))/Log[10]}
public void test01696() {
	check("Integrate[10^(2 + 5*x), x]", "(2^(2 + 5*x)*5^(1 + 5*x))/Log[10]");

}

// {F^(c*(a + b*x))*(d + e*x)^(4/3), x, 1, -((e*F^(c*(a - (b*d)/e))*(d + e*x)^(1/3)*Gamma[7/3, -((b*c*(d + e*x)*Log[F])/e)])/(b^2*c^2*Log[F]^2*(-((b*c*(d + e*x)*Log[F])/e))^(1/3)))}
public void test01697() {
	check("Integrate[F^(c*(a + b*x))*(d + e*x)^(4/3), x]", "-((e*F^(c*(a - (b*d)/e))*(d + e*x)^(1/3)*Gamma[7/3, -((b*c*(d + e*x)*Log[F])/e)])/(b^2*c^2*Log[F]^2*(-((b*c*(d + e*x)*Log[F])/e))^(1/3)))");

}

// {F^(c*(a + b*x))*x^m*Log[d*x]^n*(e + e*n + e*(1 + m + b*c*x*Log[F])*Log[d*x]), x, 1, e*F^(c*(a + b*x))*x^(1 + m)*Log[d*x]^(1 + n)}
public void test01698() {
	check("Integrate[F^(c*(a + b*x))*x^m*Log[d*x]^n*(e + e*n + e*(1 + m + b*c*x*Log[F])*Log[d*x]), x]", "e*F^(c*(a + b*x))*x^(1 + m)*Log[d*x]^(1 + n)");

}

// {F^(c*(a + b*x))*x^2*Log[d*x]^n*(e + e*n + e*(3 + b*c*x*Log[F])*Log[d*x]), x, 1, e*F^(c*(a + b*x))*x^3*Log[d*x]^(1 + n)}
public void test01699() {
	check("Integrate[F^(c*(a + b*x))*x^2*Log[d*x]^n*(e + e*n + e*(3 + b*c*x*Log[F])*Log[d*x]), x]", "e*F^(c*(a + b*x))*x^3*Log[d*x]^(1 + n)");

}

// {F^(c*(a + b*x))*x*Log[d*x]^n*(e + e*n + e*(2 + b*c*x*Log[F])*Log[d*x]), x, 1, e*F^(c*(a + b*x))*x^2*Log[d*x]^(1 + n)}
public void test01700() {
	check("Integrate[F^(c*(a + b*x))*x*Log[d*x]^n*(e + e*n + e*(2 + b*c*x*Log[F])*Log[d*x]), x]", "e*F^(c*(a + b*x))*x^2*Log[d*x]^(1 + n)");

}

// {F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(1 + b*c*x*Log[F])*Log[d*x]), x, 1, e*F^(c*(a + b*x))*x*Log[d*x]^(1 + n)}
public void test01701() {
	check("Integrate[F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(1 + b*c*x*Log[F])*Log[d*x]), x]", "e*F^(c*(a + b*x))*x*Log[d*x]^(1 + n)");

}

// {(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + b*c*e*x*Log[F]*Log[d*x]))/x, x, 1, e*F^(c*(a + b*x))*Log[d*x]^(1 + n)}
public void test01702() {
	check("Integrate[(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + b*c*e*x*Log[F]*Log[d*x]))/x, x]", "e*F^(c*(a + b*x))*Log[d*x]^(1 + n)");

}

// {(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(-1 + b*c*x*Log[F])*Log[d*x]))/x^2, x, 1, (e*F^(c*(a + b*x))*Log[d*x]^(1 + n))/x}
public void test01703() {
	check("Integrate[(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(-1 + b*c*x*Log[F])*Log[d*x]))/x^2, x]", "(e*F^(c*(a + b*x))*Log[d*x]^(1 + n))/x");

}

// {(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(-2 + b*c*x*Log[F])*Log[d*x]))/x^3, x, 1, (e*F^(c*(a + b*x))*Log[d*x]^(1 + n))/x^2}
public void test01704() {
	check("Integrate[(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(-2 + b*c*x*Log[F])*Log[d*x]))/x^3, x]", "(e*F^(c*(a + b*x))*Log[d*x]^(1 + n))/x^2");

}

// {Sqrt[E^(a + b*x)], x, 1, (2*Sqrt[E^(a + b*x)])/b}
public void test01705() {
	check("Integrate[Sqrt[E^(a + b*x)], x]", "(2*Sqrt[E^(a + b*x)])/b");

}

// {1/((a + b*(F^(g*(e + f*x)))^n)*(c + d*x)), x, 1, Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)*(c + d*x)), x]}
public void test01706() {
	check("Integrate[1/((a + b*(F^(g*(e + f*x)))^n)*(c + d*x)), x]", "Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)*(c + d*x)), x]");

}

// {1/((a + b*(F^(g*(e + f*x)))^n)*(c + d*x)^2), x, 1, Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)*(c + d*x)^2), x]}
public void test01707() {
	check("Integrate[1/((a + b*(F^(g*(e + f*x)))^n)*(c + d*x)^2), x]", "Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)*(c + d*x)^2), x]");

}

// {1/((a + b*(F^(g*(e + f*x)))^n)^2*(c + d*x)), x, 1, Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^2*(c + d*x)), x]}
public void test01708() {
	check("Integrate[1/((a + b*(F^(g*(e + f*x)))^n)^2*(c + d*x)), x]", "Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^2*(c + d*x)), x]");

}

// {1/((a + b*(F^(g*(e + f*x)))^n)^2*(c + d*x)^2), x, 1, Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^2*(c + d*x)^2), x]}
public void test01709() {
	check("Integrate[1/((a + b*(F^(g*(e + f*x)))^n)^2*(c + d*x)^2), x]", "Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^2*(c + d*x)^2), x]");

}

// {1/((a + b*(F^(g*(e + f*x)))^n)^3*(c + d*x)), x, 1, Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^3*(c + d*x)), x]}
public void test01710() {
	check("Integrate[1/((a + b*(F^(g*(e + f*x)))^n)^3*(c + d*x)), x]", "Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^3*(c + d*x)), x]");

}

// {1/((a + b*(F^(g*(e + f*x)))^n)^3*(c + d*x)^2), x, 1, Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^3*(c + d*x)^2), x]}
public void test01711() {
	check("Integrate[1/((a + b*(F^(g*(e + f*x)))^n)^3*(c + d*x)^2), x]", "Unintegrable[1/((a + b*(F^(e*g + f*g*x))^n)^3*(c + d*x)^2), x]");

}

// {(c + d*x)^m/(a + b*(F^(g*(e + f*x)))^n), x, 1, Unintegrable[(c + d*x)^m/(a + b*(F^(e*g + f*g*x))^n), x]}
public void test01712() {
	check("Integrate[(c + d*x)^m/(a + b*(F^(g*(e + f*x)))^n), x]", "Unintegrable[(c + d*x)^m/(a + b*(F^(e*g + f*g*x))^n), x]");

}

// {(c + d*x)^m/(a + b*(F^(g*(e + f*x)))^n)^2, x, 1, Unintegrable[(c + d*x)^m/(a + b*(F^(e*g + f*g*x))^n)^2, x]}
public void test01713() {
	check("Integrate[(c + d*x)^m/(a + b*(F^(g*(e + f*x)))^n)^2, x]", "Unintegrable[(c + d*x)^m/(a + b*(F^(e*g + f*g*x))^n)^2, x]");

}

// {(a + b*(F^(g*(e + f*x)))^n)^p*(c + d*x)^m, x, 1, Unintegrable[(a + b*(F^(e*g + f*g*x))^n)^p*(c + d*x)^m, x]}
public void test01714() {
	check("Integrate[(a + b*(F^(g*(e + f*x)))^n)^p*(c + d*x)^m, x]", "Unintegrable[(a + b*(F^(e*g + f*g*x))^n)^p*(c + d*x)^m, x]");

}

// {F^(c + d*x)/((a + b*F^(c + d*x))^2*x), x, 1, -(1/(b*d*(a + b*F^(c + d*x))*x*Log[F])) - Unintegrable[1/((a + b*F^(c + d*x))*x^2), x]/(b*d*Log[F])}
public void test01715() {
	check("Integrate[F^(c + d*x)/((a + b*F^(c + d*x))^2*x), x]", "-(1/(b*d*(a + b*F^(c + d*x))*x*Log[F])) - Unintegrable[1/((a + b*F^(c + d*x))*x^2), x]/(b*d*Log[F])");

}

// {F^(c + d*x)/((a + b*F^(c + d*x))^2*x^2), x, 1, -(1/(b*d*(a + b*F^(c + d*x))*x^2*Log[F])) - (2*Unintegrable[1/((a + b*F^(c + d*x))*x^3), x])/(b*d*Log[F])}
public void test01716() {
	check("Integrate[F^(c + d*x)/((a + b*F^(c + d*x))^2*x^2), x]", "-(1/(b*d*(a + b*F^(c + d*x))*x^2*Log[F])) - (2*Unintegrable[1/((a + b*F^(c + d*x))*x^3), x])/(b*d*Log[F])");

}

// {F^(c + d*x)/((a + b*F^(c + d*x))^3*x), x, 1, -1/(2*b*d*(a + b*F^(c + d*x))^2*x*Log[F]) - Unintegrable[1/((a + b*F^(c + d*x))^2*x^2), x]/(2*b*d*Log[F])}
public void test01717() {
	check("Integrate[F^(c + d*x)/((a + b*F^(c + d*x))^3*x), x]", "-1/(2*b*d*(a + b*F^(c + d*x))^2*x*Log[F]) - Unintegrable[1/((a + b*F^(c + d*x))^2*x^2), x]/(2*b*d*Log[F])");

}

// {F^(c + d*x)/((a + b*F^(c + d*x))^3*x^2), x, 1, -1/(2*b*d*(a + b*F^(c + d*x))^2*x^2*Log[F]) - Unintegrable[1/((a + b*F^(c + d*x))^2*x^3), x]/(b*d*Log[F])}
public void test01718() {
	check("Integrate[F^(c + d*x)/((a + b*F^(c + d*x))^3*x^2), x]", "-1/(2*b*d*(a + b*F^(c + d*x))^2*x^2*Log[F]) - Unintegrable[1/((a + b*F^(c + d*x))^2*x^3), x]/(b*d*Log[F])");

}

// {f^(a + b*x^2)*x^m, x, 1, -(f^a*x^(1 + m)*Gamma[(1 + m)/2, -(b*x^2*Log[f])]*(-(b*x^2*Log[f]))^((-1 - m)/2))/2}
public void test01719() {
	check("Integrate[f^(a + b*x^2)*x^m, x]", "-(f^a*x^(1 + m)*Gamma[(1 + m)/2, -(b*x^2*Log[f])]*(-(b*x^2*Log[f]))^((-1 - m)/2))/2");

}

// {f^(a + b*x^2)*x^11, x, 1, -(f^a*Gamma[6, -(b*x^2*Log[f])])/(2*b^6*Log[f]^6)}
public void test01720() {
	check("Integrate[f^(a + b*x^2)*x^11, x]", "-(f^a*Gamma[6, -(b*x^2*Log[f])])/(2*b^6*Log[f]^6)");

}

// {f^(a + b*x^2)*x^9, x, 1, (f^a*Gamma[5, -(b*x^2*Log[f])])/(2*b^5*Log[f]^5)}
public void test01721() {
	check("Integrate[f^(a + b*x^2)*x^9, x]", "(f^a*Gamma[5, -(b*x^2*Log[f])])/(2*b^5*Log[f]^5)");

}

// {f^(a + b*x^2)*x, x, 1, f^(a + b*x^2)/(2*b*Log[f])}
public void test01722() {
	check("Integrate[f^(a + b*x^2)*x, x]", "f^(a + b*x^2)/(2*b*Log[f])");

}

// {f^(a + b*x^2)/x, x, 1, (f^a*ExpIntegralEi[b*x^2*Log[f]])/2}
public void test01723() {
	check("Integrate[f^(a + b*x^2)/x, x]", "(f^a*ExpIntegralEi[b*x^2*Log[f]])/2");

}

// {f^(a + b*x^2)/x^9, x, 1, -(b^4*f^a*Gamma[-4, -(b*x^2*Log[f])]*Log[f]^4)/2}
public void test01724() {
	check("Integrate[f^(a + b*x^2)/x^9, x]", "-(b^4*f^a*Gamma[-4, -(b*x^2*Log[f])]*Log[f]^4)/2");

}

// {f^(a + b*x^2)/x^11, x, 1, (b^5*f^a*Gamma[-5, -(b*x^2*Log[f])]*Log[f]^5)/2}
public void test01725() {
	check("Integrate[f^(a + b*x^2)/x^11, x]", "(b^5*f^a*Gamma[-5, -(b*x^2*Log[f])]*Log[f]^5)/2");

}

// {f^(a + b*x^2)*x^12, x, 1, -(f^a*x^13*Gamma[13/2, -(b*x^2*Log[f])])/(2*(-(b*x^2*Log[f]))^(13/2))}
public void test01726() {
	check("Integrate[f^(a + b*x^2)*x^12, x]", "-(f^a*x^13*Gamma[13/2, -(b*x^2*Log[f])])/(2*(-(b*x^2*Log[f]))^(13/2))");

}

// {f^(a + b*x^2)*x^10, x, 1, -(f^a*x^11*Gamma[11/2, -(b*x^2*Log[f])])/(2*(-(b*x^2*Log[f]))^(11/2))}
public void test01727() {
	check("Integrate[f^(a + b*x^2)*x^10, x]", "-(f^a*x^11*Gamma[11/2, -(b*x^2*Log[f])])/(2*(-(b*x^2*Log[f]))^(11/2))");

}

// {f^(a + b*x^2), x, 1, (f^a*Sqrt[Pi]*Erfi[Sqrt[b]*x*Sqrt[Log[f]]])/(2*Sqrt[b]*Sqrt[Log[f]])}
public void test01728() {
	check("Integrate[f^(a + b*x^2), x]", "(f^a*Sqrt[Pi]*Erfi[Sqrt[b]*x*Sqrt[Log[f]]])/(2*Sqrt[b]*Sqrt[Log[f]])");

}

// {f^(a + b*x^2)/x^10, x, 1, -(f^a*Gamma[-9/2, -(b*x^2*Log[f])]*(-(b*x^2*Log[f]))^(9/2))/(2*x^9)}
public void test01729() {
	check("Integrate[f^(a + b*x^2)/x^10, x]", "-(f^a*Gamma[-9/2, -(b*x^2*Log[f])]*(-(b*x^2*Log[f]))^(9/2))/(2*x^9)");

}

// {f^(a + b*x^2)/x^12, x, 1, -(f^a*Gamma[-11/2, -(b*x^2*Log[f])]*(-(b*x^2*Log[f]))^(11/2))/(2*x^11)}
public void test01730() {
	check("Integrate[f^(a + b*x^2)/x^12, x]", "-(f^a*Gamma[-11/2, -(b*x^2*Log[f])]*(-(b*x^2*Log[f]))^(11/2))/(2*x^11)");

}

// {f^(a + b*x^3)*x^m, x, 1, -(f^a*x^(1 + m)*Gamma[(1 + m)/3, -(b*x^3*Log[f])]*(-(b*x^3*Log[f]))^((-1 - m)/3))/3}
public void test01731() {
	check("Integrate[f^(a + b*x^3)*x^m, x]", "-(f^a*x^(1 + m)*Gamma[(1 + m)/3, -(b*x^3*Log[f])]*(-(b*x^3*Log[f]))^((-1 - m)/3))/3");

}

// {f^(a + b*x^3)*x^17, x, 1, -(f^a*Gamma[6, -(b*x^3*Log[f])])/(3*b^6*Log[f]^6)}
public void test01732() {
	check("Integrate[f^(a + b*x^3)*x^17, x]", "-(f^a*Gamma[6, -(b*x^3*Log[f])])/(3*b^6*Log[f]^6)");

}

// {f^(a + b*x^3)*x^14, x, 1, (f^a*Gamma[5, -(b*x^3*Log[f])])/(3*b^5*Log[f]^5)}
public void test01733() {
	check("Integrate[f^(a + b*x^3)*x^14, x]", "(f^a*Gamma[5, -(b*x^3*Log[f])])/(3*b^5*Log[f]^5)");

}

// {f^(a + b*x^3)*x^2, x, 1, f^(a + b*x^3)/(3*b*Log[f])}
public void test01734() {
	check("Integrate[f^(a + b*x^3)*x^2, x]", "f^(a + b*x^3)/(3*b*Log[f])");

}

// {f^(a + b*x^3)/x, x, 1, (f^a*ExpIntegralEi[b*x^3*Log[f]])/3}
public void test01735() {
	check("Integrate[f^(a + b*x^3)/x, x]", "(f^a*ExpIntegralEi[b*x^3*Log[f]])/3");

}

// {f^(a + b*x^3)/x^13, x, 1, -(b^4*f^a*Gamma[-4, -(b*x^3*Log[f])]*Log[f]^4)/3}
public void test01736() {
	check("Integrate[f^(a + b*x^3)/x^13, x]", "-(b^4*f^a*Gamma[-4, -(b*x^3*Log[f])]*Log[f]^4)/3");

}

// {f^(a + b*x^3)/x^16, x, 1, (b^5*f^a*Gamma[-5, -(b*x^3*Log[f])]*Log[f]^5)/3}
public void test01737() {
	check("Integrate[f^(a + b*x^3)/x^16, x]", "(b^5*f^a*Gamma[-5, -(b*x^3*Log[f])]*Log[f]^5)/3");

}

// {f^(a + b*x^3)*x^4, x, 1, -(f^a*x^5*Gamma[5/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(5/3))}
public void test01738() {
	check("Integrate[f^(a + b*x^3)*x^4, x]", "-(f^a*x^5*Gamma[5/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(5/3))");

}

// {f^(a + b*x^3)*x^3, x, 1, -(f^a*x^4*Gamma[4/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(4/3))}
public void test01739() {
	check("Integrate[f^(a + b*x^3)*x^3, x]", "-(f^a*x^4*Gamma[4/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(4/3))");

}

// {f^(a + b*x^3)*x, x, 1, -(f^a*x^2*Gamma[2/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(2/3))}
public void test01740() {
	check("Integrate[f^(a + b*x^3)*x, x]", "-(f^a*x^2*Gamma[2/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(2/3))");

}

// {f^(a + b*x^3), x, 1, -(f^a*x*Gamma[1/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(1/3))}
public void test01741() {
	check("Integrate[f^(a + b*x^3), x]", "-(f^a*x*Gamma[1/3, -(b*x^3*Log[f])])/(3*(-(b*x^3*Log[f]))^(1/3))");

}

// {f^(a + b*x^3)/x^2, x, 1, -(f^a*Gamma[-1/3, -(b*x^3*Log[f])]*(-(b*x^3*Log[f]))^(1/3))/(3*x)}
public void test01742() {
	check("Integrate[f^(a + b*x^3)/x^2, x]", "-(f^a*Gamma[-1/3, -(b*x^3*Log[f])]*(-(b*x^3*Log[f]))^(1/3))/(3*x)");

}

// {f^(a + b*x^3)/x^3, x, 1, -(f^a*Gamma[-2/3, -(b*x^3*Log[f])]*(-(b*x^3*Log[f]))^(2/3))/(3*x^2)}
public void test01743() {
	check("Integrate[f^(a + b*x^3)/x^3, x]", "-(f^a*Gamma[-2/3, -(b*x^3*Log[f])]*(-(b*x^3*Log[f]))^(2/3))/(3*x^2)");

}

// {E^(4*x^3)*x^2, x, 1, E^(4*x^3)/12}
public void test01744() {
	check("Integrate[E^(4*x^3)*x^2, x]", "E^(4*x^3)/12");

}

// {f^(a + b/x)*x^m, x, 1, f^a*x^(1 + m)*Gamma[-1 - m, -((b*Log[f])/x)]*(-((b*Log[f])/x))^(1 + m)}
public void test01745() {
	check("Integrate[f^(a + b/x)*x^m, x]", "f^a*x^(1 + m)*Gamma[-1 - m, -((b*Log[f])/x)]*(-((b*Log[f])/x))^(1 + m)");

}

// {f^(a + b/x)*x^4, x, 1, -(b^5*f^a*Gamma[-5, -((b*Log[f])/x)]*Log[f]^5)}
public void test01746() {
	check("Integrate[f^(a + b/x)*x^4, x]", "-(b^5*f^a*Gamma[-5, -((b*Log[f])/x)]*Log[f]^5)");

}

// {f^(a + b/x)*x^3, x, 1, b^4*f^a*Gamma[-4, -((b*Log[f])/x)]*Log[f]^4}
public void test01747() {
	check("Integrate[f^(a + b/x)*x^3, x]", "b^4*f^a*Gamma[-4, -((b*Log[f])/x)]*Log[f]^4");

}

// {f^(a + b/x)/x, x, 1, -(f^a*ExpIntegralEi[(b*Log[f])/x])}
public void test01748() {
	check("Integrate[f^(a + b/x)/x, x]", "-(f^a*ExpIntegralEi[(b*Log[f])/x])");

}

// {f^(a + b/x)/x^2, x, 1, -(f^(a + b/x)/(b*Log[f]))}
public void test01749() {
	check("Integrate[f^(a + b/x)/x^2, x]", "-(f^(a + b/x)/(b*Log[f]))");

}

// {f^(a + b/x)/x^6, x, 1, -((f^a*Gamma[5, -((b*Log[f])/x)])/(b^5*Log[f]^5))}
public void test01750() {
	check("Integrate[f^(a + b/x)/x^6, x]", "-((f^a*Gamma[5, -((b*Log[f])/x)])/(b^5*Log[f]^5))");

}

// {f^(a + b/x)/x^7, x, 1, (f^a*Gamma[6, -((b*Log[f])/x)])/(b^6*Log[f]^6)}
public void test01751() {
	check("Integrate[f^(a + b/x)/x^7, x]", "(f^a*Gamma[6, -((b*Log[f])/x)])/(b^6*Log[f]^6)");

}

// {f^(a + b/x^2)*x^m, x, 1, (f^a*x^(1 + m)*Gamma[(-1 - m)/2, -((b*Log[f])/x^2)]*(-((b*Log[f])/x^2))^((1 + m)/2))/2}
public void test01752() {
	check("Integrate[f^(a + b/x^2)*x^m, x]", "(f^a*x^(1 + m)*Gamma[(-1 - m)/2, -((b*Log[f])/x^2)]*(-((b*Log[f])/x^2))^((1 + m)/2))/2");

}

// {f^(a + b/x^2)*x^9, x, 1, -(b^5*f^a*Gamma[-5, -((b*Log[f])/x^2)]*Log[f]^5)/2}
public void test01753() {
	check("Integrate[f^(a + b/x^2)*x^9, x]", "-(b^5*f^a*Gamma[-5, -((b*Log[f])/x^2)]*Log[f]^5)/2");

}

// {f^(a + b/x^2)*x^7, x, 1, (b^4*f^a*Gamma[-4, -((b*Log[f])/x^2)]*Log[f]^4)/2}
public void test01754() {
	check("Integrate[f^(a + b/x^2)*x^7, x]", "(b^4*f^a*Gamma[-4, -((b*Log[f])/x^2)]*Log[f]^4)/2");

}

// {f^(a + b/x^2)/x, x, 1, -(f^a*ExpIntegralEi[(b*Log[f])/x^2])/2}
public void test01755() {
	check("Integrate[f^(a + b/x^2)/x, x]", "-(f^a*ExpIntegralEi[(b*Log[f])/x^2])/2");

}

// {f^(a + b/x^2)/x^3, x, 1, -f^(a + b/x^2)/(2*b*Log[f])}
public void test01756() {
	check("Integrate[f^(a + b/x^2)/x^3, x]", "-f^(a + b/x^2)/(2*b*Log[f])");

}

// {f^(a + b/x^2)/x^11, x, 1, -(f^a*Gamma[5, -((b*Log[f])/x^2)])/(2*b^5*Log[f]^5)}
public void test01757() {
	check("Integrate[f^(a + b/x^2)/x^11, x]", "-(f^a*Gamma[5, -((b*Log[f])/x^2)])/(2*b^5*Log[f]^5)");

}

// {f^(a + b/x^2)/x^13, x, 1, (f^a*Gamma[6, -((b*Log[f])/x^2)])/(2*b^6*Log[f]^6)}
public void test01758() {
	check("Integrate[f^(a + b/x^2)/x^13, x]", "(f^a*Gamma[6, -((b*Log[f])/x^2)])/(2*b^6*Log[f]^6)");

}

// {f^(a + b/x^2)*x^10, x, 1, (f^a*x^11*Gamma[-11/2, -((b*Log[f])/x^2)]*(-((b*Log[f])/x^2))^(11/2))/2}
public void test01759() {
	check("Integrate[f^(a + b/x^2)*x^10, x]", "(f^a*x^11*Gamma[-11/2, -((b*Log[f])/x^2)]*(-((b*Log[f])/x^2))^(11/2))/2");

}

// {f^(a + b/x^2)*x^8, x, 1, (f^a*x^9*Gamma[-9/2, -((b*Log[f])/x^2)]*(-((b*Log[f])/x^2))^(9/2))/2}
public void test01760() {
	check("Integrate[f^(a + b/x^2)*x^8, x]", "(f^a*x^9*Gamma[-9/2, -((b*Log[f])/x^2)]*(-((b*Log[f])/x^2))^(9/2))/2");

}

// {f^(a + b/x^2)/x^12, x, 1, (f^a*Gamma[11/2, -((b*Log[f])/x^2)])/(2*x^11*(-((b*Log[f])/x^2))^(11/2))}
public void test01761() {
	check("Integrate[f^(a + b/x^2)/x^12, x]", "(f^a*Gamma[11/2, -((b*Log[f])/x^2)])/(2*x^11*(-((b*Log[f])/x^2))^(11/2))");

}

// {f^(a + b/x^2)/x^14, x, 1, (f^a*Gamma[13/2, -((b*Log[f])/x^2)])/(2*x^13*(-((b*Log[f])/x^2))^(13/2))}
public void test01762() {
	check("Integrate[f^(a + b/x^2)/x^14, x]", "(f^a*Gamma[13/2, -((b*Log[f])/x^2)])/(2*x^13*(-((b*Log[f])/x^2))^(13/2))");

}

// {f^(a + b/x^3)*x^m, x, 1, (f^a*x^(1 + m)*Gamma[(-1 - m)/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^((1 + m)/3))/3}
public void test01763() {
	check("Integrate[f^(a + b/x^3)*x^m, x]", "(f^a*x^(1 + m)*Gamma[(-1 - m)/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^((1 + m)/3))/3");

}

// {f^(a + b/x^3)*x^14, x, 1, -(b^5*f^a*Gamma[-5, -((b*Log[f])/x^3)]*Log[f]^5)/3}
public void test01764() {
	check("Integrate[f^(a + b/x^3)*x^14, x]", "-(b^5*f^a*Gamma[-5, -((b*Log[f])/x^3)]*Log[f]^5)/3");

}

// {f^(a + b/x^3)*x^11, x, 1, (b^4*f^a*Gamma[-4, -((b*Log[f])/x^3)]*Log[f]^4)/3}
public void test01765() {
	check("Integrate[f^(a + b/x^3)*x^11, x]", "(b^4*f^a*Gamma[-4, -((b*Log[f])/x^3)]*Log[f]^4)/3");

}

// {f^(a + b/x^3)/x, x, 1, -(f^a*ExpIntegralEi[(b*Log[f])/x^3])/3}
public void test01766() {
	check("Integrate[f^(a + b/x^3)/x, x]", "-(f^a*ExpIntegralEi[(b*Log[f])/x^3])/3");

}

// {f^(a + b/x^3)/x^4, x, 1, -f^(a + b/x^3)/(3*b*Log[f])}
public void test01767() {
	check("Integrate[f^(a + b/x^3)/x^4, x]", "-f^(a + b/x^3)/(3*b*Log[f])");

}

// {f^(a + b/x^3)/x^16, x, 1, -(f^a*Gamma[5, -((b*Log[f])/x^3)])/(3*b^5*Log[f]^5)}
public void test01768() {
	check("Integrate[f^(a + b/x^3)/x^16, x]", "-(f^a*Gamma[5, -((b*Log[f])/x^3)])/(3*b^5*Log[f]^5)");

}

// {f^(a + b/x^3)/x^19, x, 1, (f^a*Gamma[6, -((b*Log[f])/x^3)])/(3*b^6*Log[f]^6)}
public void test01769() {
	check("Integrate[f^(a + b/x^3)/x^19, x]", "(f^a*Gamma[6, -((b*Log[f])/x^3)])/(3*b^6*Log[f]^6)");

}

// {f^(a + b/x^3)*x^4, x, 1, (f^a*x^5*Gamma[-5/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(5/3))/3}
public void test01770() {
	check("Integrate[f^(a + b/x^3)*x^4, x]", "(f^a*x^5*Gamma[-5/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(5/3))/3");

}

// {f^(a + b/x^3)*x^3, x, 1, (f^a*x^4*Gamma[-4/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(4/3))/3}
public void test01771() {
	check("Integrate[f^(a + b/x^3)*x^3, x]", "(f^a*x^4*Gamma[-4/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(4/3))/3");

}

// {f^(a + b/x^3)*x, x, 1, (f^a*x^2*Gamma[-2/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(2/3))/3}
public void test01772() {
	check("Integrate[f^(a + b/x^3)*x, x]", "(f^a*x^2*Gamma[-2/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(2/3))/3");

}

// {f^(a + b/x^3), x, 1, (f^a*x*Gamma[-1/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(1/3))/3}
public void test01773() {
	check("Integrate[f^(a + b/x^3), x]", "(f^a*x*Gamma[-1/3, -((b*Log[f])/x^3)]*(-((b*Log[f])/x^3))^(1/3))/3");

}

// {f^(a + b/x^3)/x^2, x, 1, (f^a*Gamma[1/3, -((b*Log[f])/x^3)])/(3*x*(-((b*Log[f])/x^3))^(1/3))}
public void test01774() {
	check("Integrate[f^(a + b/x^3)/x^2, x]", "(f^a*Gamma[1/3, -((b*Log[f])/x^3)])/(3*x*(-((b*Log[f])/x^3))^(1/3))");

}

// {f^(a + b/x^3)/x^3, x, 1, (f^a*Gamma[2/3, -((b*Log[f])/x^3)])/(3*x^2*(-((b*Log[f])/x^3))^(2/3))}
public void test01775() {
	check("Integrate[f^(a + b/x^3)/x^3, x]", "(f^a*Gamma[2/3, -((b*Log[f])/x^3)])/(3*x^2*(-((b*Log[f])/x^3))^(2/3))");

}

// {f^(a + b/x^3)/x^5, x, 1, (f^a*Gamma[4/3, -((b*Log[f])/x^3)])/(3*x^4*(-((b*Log[f])/x^3))^(4/3))}
public void test01776() {
	check("Integrate[f^(a + b/x^3)/x^5, x]", "(f^a*Gamma[4/3, -((b*Log[f])/x^3)])/(3*x^4*(-((b*Log[f])/x^3))^(4/3))");

}

// {f^(a + b*x^n)*x^m, x, 1, -((f^a*x^(1 + m)*Gamma[(1 + m)/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^((1 + m)/n)))}
public void test01777() {
	check("Integrate[f^(a + b*x^n)*x^m, x]", "-((f^a*x^(1 + m)*Gamma[(1 + m)/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^((1 + m)/n)))");

}

// {f^(a + b*x^n)*x^3, x, 1, -((f^a*x^4*Gamma[4/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^(4/n)))}
public void test01778() {
	check("Integrate[f^(a + b*x^n)*x^3, x]", "-((f^a*x^4*Gamma[4/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^(4/n)))");

}

// {f^(a + b*x^n)*x^2, x, 1, -((f^a*x^3*Gamma[3/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^(3/n)))}
public void test01779() {
	check("Integrate[f^(a + b*x^n)*x^2, x]", "-((f^a*x^3*Gamma[3/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^(3/n)))");

}

// {f^(a + b*x^n)*x, x, 1, -((f^a*x^2*Gamma[2/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^(2/n)))}
public void test01780() {
	check("Integrate[f^(a + b*x^n)*x, x]", "-((f^a*x^2*Gamma[2/n, -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^(2/n)))");

}

// {f^(a + b*x^n), x, 1, -((f^a*x*Gamma[n^(-1), -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^n^(-1)))}
public void test01781() {
	check("Integrate[f^(a + b*x^n), x]", "-((f^a*x*Gamma[n^(-1), -(b*x^n*Log[f])])/(n*(-(b*x^n*Log[f]))^n^(-1)))");

}

// {f^(a + b*x^n)/x, x, 1, (f^a*ExpIntegralEi[b*x^n*Log[f]])/n}
public void test01782() {
	check("Integrate[f^(a + b*x^n)/x, x]", "(f^a*ExpIntegralEi[b*x^n*Log[f]])/n");

}

// {f^(a + b*x^n)/x^2, x, 1, -((f^a*Gamma[-n^(-1), -(b*x^n*Log[f])]*(-(b*x^n*Log[f]))^n^(-1))/(n*x))}
public void test01783() {
	check("Integrate[f^(a + b*x^n)/x^2, x]", "-((f^a*Gamma[-n^(-1), -(b*x^n*Log[f])]*(-(b*x^n*Log[f]))^n^(-1))/(n*x))");

}

// {f^(a + b*x^n)/x^3, x, 1, -((f^a*Gamma[-2/n, -(b*x^n*Log[f])]*(-(b*x^n*Log[f]))^(2/n))/(n*x^2))}
public void test01784() {
	check("Integrate[f^(a + b*x^n)/x^3, x]", "-((f^a*Gamma[-2/n, -(b*x^n*Log[f])]*(-(b*x^n*Log[f]))^(2/n))/(n*x^2))");

}

// {f^(a + b*x^n)/x^4, x, 1, -((f^a*Gamma[-3/n, -(b*x^n*Log[f])]*(-(b*x^n*Log[f]))^(3/n))/(n*x^3))}
public void test01785() {
	check("Integrate[f^(a + b*x^n)/x^4, x]", "-((f^a*Gamma[-3/n, -(b*x^n*Log[f])]*(-(b*x^n*Log[f]))^(3/n))/(n*x^3))");

}

// {f^(a + b*x^n)*x^(-1 + n), x, 1, f^(a + b*x^n)/(b*n*Log[f])}
public void test01786() {
	check("Integrate[f^(a + b*x^n)*x^(-1 + n), x]", "f^(a + b*x^n)/(b*n*Log[f])");

}

// {f^(a + b*x^n)/x, x, 1, (f^a*ExpIntegralEi[b*x^n*Log[f]])/n}
public void test01787() {
	check("Integrate[f^(a + b*x^n)/x, x]", "(f^a*ExpIntegralEi[b*x^n*Log[f]])/n");

}

// {f^(c*(a + b*x)^2), x, 1, (Sqrt[Pi]*Erfi[Sqrt[c]*(a + b*x)*Sqrt[Log[f]]])/(2*b*Sqrt[c]*Sqrt[Log[f]])}
public void test01788() {
	check("Integrate[f^(c*(a + b*x)^2), x]", "(Sqrt[Pi]*Erfi[Sqrt[c]*(a + b*x)*Sqrt[Log[f]]])/(2*b*Sqrt[c]*Sqrt[Log[f]])");

}

// {f^(c*(a + b*x)^3), x, 1, -((a + b*x)*Gamma[1/3, -(c*(a + b*x)^3*Log[f])])/(3*b*(-(c*(a + b*x)^3*Log[f]))^(1/3))}
public void test01789() {
	check("Integrate[f^(c*(a + b*x)^3), x]", "-((a + b*x)*Gamma[1/3, -(c*(a + b*x)^3*Log[f])])/(3*b*(-(c*(a + b*x)^3*Log[f]))^(1/3))");

}

// {f^(c/(a + b*x)^3), x, 1, ((a + b*x)*Gamma[-1/3, -((c*Log[f])/(a + b*x)^3)]*(-((c*Log[f])/(a + b*x)^3))^(1/3))/(3*b)}
public void test01790() {
	check("Integrate[f^(c/(a + b*x)^3), x]", "((a + b*x)*Gamma[-1/3, -((c*Log[f])/(a + b*x)^3)]*(-((c*Log[f])/(a + b*x)^3))^(1/3))/(3*b)");

}

// {f^(c*(a + b*x)^2)*x^m, x, 1, Unintegrable[f^(a^2*c + 2*a*b*c*x + b^2*c*x^2)*x^m, x]}
public void test01791() {
	check("Integrate[f^(c*(a + b*x)^2)*x^m, x]", "Unintegrable[f^(a^2*c + 2*a*b*c*x + b^2*c*x^2)*x^m, x]");

}

// {f^(c*(a + b*x))*x^m, x, 1, (f^(a*c)*x^m*Gamma[1 + m, -(b*c*x*Log[f])])/(b*c*Log[f]*(-(b*c*x*Log[f]))^m)}
public void test01792() {
	check("Integrate[f^(c*(a + b*x))*x^m, x]", "(f^(a*c)*x^m*Gamma[1 + m, -(b*c*x*Log[f])])/(b*c*Log[f]*(-(b*c*x*Log[f]))^m)");

}

// {f^(c*(a + b*x)^n), x, 1, -(((a + b*x)*Gamma[n^(-1), -(c*(a + b*x)^n*Log[f])])/(b*n*(-(c*(a + b*x)^n*Log[f]))^n^(-1)))}
public void test01793() {
	check("Integrate[f^(c*(a + b*x)^n), x]", "-(((a + b*x)*Gamma[n^(-1), -(c*(a + b*x)^n*Log[f])])/(b*n*(-(c*(a + b*x)^n*Log[f]))^n^(-1)))");

}

// {F^(a + b*(c + d*x)^2)*(c + d*x)^m, x, 1, -(F^a*(c + d*x)^(1 + m)*Gamma[(1 + m)/2, -(b*(c + d*x)^2*Log[F])]*(-(b*(c + d*x)^2*Log[F]))^((-1 - m)/2))/(2*d)}
public void test01794() {
	check("Integrate[F^(a + b*(c + d*x)^2)*(c + d*x)^m, x]", "-(F^a*(c + d*x)^(1 + m)*Gamma[(1 + m)/2, -(b*(c + d*x)^2*Log[F])]*(-(b*(c + d*x)^2*Log[F]))^((-1 - m)/2))/(2*d)");

}

// {F^(a + b*(c + d*x)^2)*(c + d*x)^11, x, 1, -(F^a*Gamma[6, -(b*(c + d*x)^2*Log[F])])/(2*b^6*d*Log[F]^6)}
public void test01795() {
	check("Integrate[F^(a + b*(c + d*x)^2)*(c + d*x)^11, x]", "-(F^a*Gamma[6, -(b*(c + d*x)^2*Log[F])])/(2*b^6*d*Log[F]^6)");

}

// {F^(a + b*(c + d*x)^2)*(c + d*x)^9, x, 1, (F^a*Gamma[5, -(b*(c + d*x)^2*Log[F])])/(2*b^5*d*Log[F]^5)}
public void test01796() {
	check("Integrate[F^(a + b*(c + d*x)^2)*(c + d*x)^9, x]", "(F^a*Gamma[5, -(b*(c + d*x)^2*Log[F])])/(2*b^5*d*Log[F]^5)");

}

// {F^(a + b*(c + d*x)^2)*(c + d*x), x, 1, F^(a + b*(c + d*x)^2)/(2*b*d*Log[F])}
public void test01797() {
	check("Integrate[F^(a + b*(c + d*x)^2)*(c + d*x), x]", "F^(a + b*(c + d*x)^2)/(2*b*d*Log[F])");

}

// {F^(a + b*(c + d*x)^2)/(c + d*x), x, 1, (F^a*ExpIntegralEi[b*(c + d*x)^2*Log[F]])/(2*d)}
public void test01798() {
	check("Integrate[F^(a + b*(c + d*x)^2)/(c + d*x), x]", "(F^a*ExpIntegralEi[b*(c + d*x)^2*Log[F]])/(2*d)");

}

// {F^(a + b*(c + d*x)^2)/(c + d*x)^9, x, 1, -(b^4*F^a*Gamma[-4, -(b*(c + d*x)^2*Log[F])]*Log[F]^4)/(2*d)}
public void test01799() {
	check("Integrate[F^(a + b*(c + d*x)^2)/(c + d*x)^9, x]", "-(b^4*F^a*Gamma[-4, -(b*(c + d*x)^2*Log[F])]*Log[F]^4)/(2*d)");

}

// {F^(a + b*(c + d*x)^2)/(c + d*x)^11, x, 1, (b^5*F^a*Gamma[-5, -(b*(c + d*x)^2*Log[F])]*Log[F]^5)/(2*d)}
public void test01800() {
	check("Integrate[F^(a + b*(c + d*x)^2)/(c + d*x)^11, x]", "(b^5*F^a*Gamma[-5, -(b*(c + d*x)^2*Log[F])]*Log[F]^5)/(2*d)");

}

// {F^(a + b*(c + d*x)^2)*(c + d*x)^12, x, 1, -(F^a*(c + d*x)^13*Gamma[13/2, -(b*(c + d*x)^2*Log[F])])/(2*d*(-(b*(c + d*x)^2*Log[F]))^(13/2))}
public void test01801() {
	check("Integrate[F^(a + b*(c + d*x)^2)*(c + d*x)^12, x]", "-(F^a*(c + d*x)^13*Gamma[13/2, -(b*(c + d*x)^2*Log[F])])/(2*d*(-(b*(c + d*x)^2*Log[F]))^(13/2))");

}

// {F^(a + b*(c + d*x)^2)*(c + d*x)^10, x, 1, -(F^a*(c + d*x)^11*Gamma[11/2, -(b*(c + d*x)^2*Log[F])])/(2*d*(-(b*(c + d*x)^2*Log[F]))^(11/2))}
public void test01802() {
	check("Integrate[F^(a + b*(c + d*x)^2)*(c + d*x)^10, x]", "-(F^a*(c + d*x)^11*Gamma[11/2, -(b*(c + d*x)^2*Log[F])])/(2*d*(-(b*(c + d*x)^2*Log[F]))^(11/2))");

}

// {F^(a + b*(c + d*x)^2), x, 1, (F^a*Sqrt[Pi]*Erfi[Sqrt[b]*(c + d*x)*Sqrt[Log[F]]])/(2*Sqrt[b]*d*Sqrt[Log[F]])}
public void test01803() {
	check("Integrate[F^(a + b*(c + d*x)^2), x]", "(F^a*Sqrt[Pi]*Erfi[Sqrt[b]*(c + d*x)*Sqrt[Log[F]]])/(2*Sqrt[b]*d*Sqrt[Log[F]])");

}

// {F^(a + b*(c + d*x)^2)/(c + d*x)^10, x, 1, -(F^a*Gamma[-9/2, -(b*(c + d*x)^2*Log[F])]*(-(b*(c + d*x)^2*Log[F]))^(9/2))/(2*d*(c + d*x)^9)}
public void test01804() {
	check("Integrate[F^(a + b*(c + d*x)^2)/(c + d*x)^10, x]", "-(F^a*Gamma[-9/2, -(b*(c + d*x)^2*Log[F])]*(-(b*(c + d*x)^2*Log[F]))^(9/2))/(2*d*(c + d*x)^9)");

}

// {F^(a + b*(c + d*x)^2)/(c + d*x)^12, x, 1, -(F^a*Gamma[-11/2, -(b*(c + d*x)^2*Log[F])]*(-(b*(c + d*x)^2*Log[F]))^(11/2))/(2*d*(c + d*x)^11)}
public void test01805() {
	check("Integrate[F^(a + b*(c + d*x)^2)/(c + d*x)^12, x]", "-(F^a*Gamma[-11/2, -(b*(c + d*x)^2*Log[F])]*(-(b*(c + d*x)^2*Log[F]))^(11/2))/(2*d*(c + d*x)^11)");

}

// {F^(a + b*(c + d*x)^3)*(c + d*x)^m, x, 1, -(F^a*(c + d*x)^(1 + m)*Gamma[(1 + m)/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^((-1 - m)/3))/(3*d)}
public void test01806() {
	check("Integrate[F^(a + b*(c + d*x)^3)*(c + d*x)^m, x]", "-(F^a*(c + d*x)^(1 + m)*Gamma[(1 + m)/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^((-1 - m)/3))/(3*d)");

}

// {F^(a + b*(c + d*x)^3)*(c + d*x)^17, x, 1, -(F^a*Gamma[6, -(b*(c + d*x)^3*Log[F])])/(3*b^6*d*Log[F]^6)}
public void test01807() {
	check("Integrate[F^(a + b*(c + d*x)^3)*(c + d*x)^17, x]", "-(F^a*Gamma[6, -(b*(c + d*x)^3*Log[F])])/(3*b^6*d*Log[F]^6)");

}

// {F^(a + b*(c + d*x)^3)*(c + d*x)^14, x, 1, (F^a*Gamma[5, -(b*(c + d*x)^3*Log[F])])/(3*b^5*d*Log[F]^5)}
public void test01808() {
	check("Integrate[F^(a + b*(c + d*x)^3)*(c + d*x)^14, x]", "(F^a*Gamma[5, -(b*(c + d*x)^3*Log[F])])/(3*b^5*d*Log[F]^5)");

}

// {F^(a + b*(c + d*x)^3)*(c + d*x)^2, x, 1, F^(a + b*(c + d*x)^3)/(3*b*d*Log[F])}
public void test01809() {
	check("Integrate[F^(a + b*(c + d*x)^3)*(c + d*x)^2, x]", "F^(a + b*(c + d*x)^3)/(3*b*d*Log[F])");

}

// {F^(a + b*(c + d*x)^3)/(c + d*x), x, 1, (F^a*ExpIntegralEi[b*(c + d*x)^3*Log[F]])/(3*d)}
public void test01810() {
	check("Integrate[F^(a + b*(c + d*x)^3)/(c + d*x), x]", "(F^a*ExpIntegralEi[b*(c + d*x)^3*Log[F]])/(3*d)");

}

// {F^(a + b*(c + d*x)^3)/(c + d*x)^13, x, 1, -(b^4*F^a*Gamma[-4, -(b*(c + d*x)^3*Log[F])]*Log[F]^4)/(3*d)}
public void test01811() {
	check("Integrate[F^(a + b*(c + d*x)^3)/(c + d*x)^13, x]", "-(b^4*F^a*Gamma[-4, -(b*(c + d*x)^3*Log[F])]*Log[F]^4)/(3*d)");

}

// {F^(a + b*(c + d*x)^3)/(c + d*x)^16, x, 1, (b^5*F^a*Gamma[-5, -(b*(c + d*x)^3*Log[F])]*Log[F]^5)/(3*d)}
public void test01812() {
	check("Integrate[F^(a + b*(c + d*x)^3)/(c + d*x)^16, x]", "(b^5*F^a*Gamma[-5, -(b*(c + d*x)^3*Log[F])]*Log[F]^5)/(3*d)");

}

// {F^(a + b*(c + d*x)^3)*(c + d*x)^3, x, 1, -(F^a*(c + d*x)^4*Gamma[4/3, -(b*(c + d*x)^3*Log[F])])/(3*d*(-(b*(c + d*x)^3*Log[F]))^(4/3))}
public void test01813() {
	check("Integrate[F^(a + b*(c + d*x)^3)*(c + d*x)^3, x]", "-(F^a*(c + d*x)^4*Gamma[4/3, -(b*(c + d*x)^3*Log[F])])/(3*d*(-(b*(c + d*x)^3*Log[F]))^(4/3))");

}

// {F^(a + b*(c + d*x)^3)*(c + d*x), x, 1, -(F^a*(c + d*x)^2*Gamma[2/3, -(b*(c + d*x)^3*Log[F])])/(3*d*(-(b*(c + d*x)^3*Log[F]))^(2/3))}
public void test01814() {
	check("Integrate[F^(a + b*(c + d*x)^3)*(c + d*x), x]", "-(F^a*(c + d*x)^2*Gamma[2/3, -(b*(c + d*x)^3*Log[F])])/(3*d*(-(b*(c + d*x)^3*Log[F]))^(2/3))");

}

// {F^(a + b*(c + d*x)^3), x, 1, -(F^a*(c + d*x)*Gamma[1/3, -(b*(c + d*x)^3*Log[F])])/(3*d*(-(b*(c + d*x)^3*Log[F]))^(1/3))}
public void test01815() {
	check("Integrate[F^(a + b*(c + d*x)^3), x]", "-(F^a*(c + d*x)*Gamma[1/3, -(b*(c + d*x)^3*Log[F])])/(3*d*(-(b*(c + d*x)^3*Log[F]))^(1/3))");

}

// {F^(a + b*(c + d*x)^3)/(c + d*x)^2, x, 1, -(F^a*Gamma[-1/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^(1/3))/(3*d*(c + d*x))}
public void test01816() {
	check("Integrate[F^(a + b*(c + d*x)^3)/(c + d*x)^2, x]", "-(F^a*Gamma[-1/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^(1/3))/(3*d*(c + d*x))");

}

// {F^(a + b*(c + d*x)^3)/(c + d*x)^3, x, 1, -(F^a*Gamma[-2/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^(2/3))/(3*d*(c + d*x)^2)}
public void test01817() {
	check("Integrate[F^(a + b*(c + d*x)^3)/(c + d*x)^3, x]", "-(F^a*Gamma[-2/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^(2/3))/(3*d*(c + d*x)^2)");

}

// {F^(a + b*(c + d*x)^3)/(c + d*x)^5, x, 1, -(F^a*Gamma[-4/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^(4/3))/(3*d*(c + d*x)^4)}
public void test01818() {
	check("Integrate[F^(a + b*(c + d*x)^3)/(c + d*x)^5, x]", "-(F^a*Gamma[-4/3, -(b*(c + d*x)^3*Log[F])]*(-(b*(c + d*x)^3*Log[F]))^(4/3))/(3*d*(c + d*x)^4)");

}

// {F^(a + b/(c + d*x))*(c + d*x)^m, x, 1, (F^a*(c + d*x)^(1 + m)*Gamma[-1 - m, -((b*Log[F])/(c + d*x))]*(-((b*Log[F])/(c + d*x)))^(1 + m))/d}
public void test01819() {
	check("Integrate[F^(a + b/(c + d*x))*(c + d*x)^m, x]", "(F^a*(c + d*x)^(1 + m)*Gamma[-1 - m, -((b*Log[F])/(c + d*x))]*(-((b*Log[F])/(c + d*x)))^(1 + m))/d");

}

// {F^(a + b/(c + d*x))*(c + d*x)^4, x, 1, -((b^5*F^a*Gamma[-5, -((b*Log[F])/(c + d*x))]*Log[F]^5)/d)}
public void test01820() {
	check("Integrate[F^(a + b/(c + d*x))*(c + d*x)^4, x]", "-((b^5*F^a*Gamma[-5, -((b*Log[F])/(c + d*x))]*Log[F]^5)/d)");

}

// {F^(a + b/(c + d*x))*(c + d*x)^3, x, 1, (b^4*F^a*Gamma[-4, -((b*Log[F])/(c + d*x))]*Log[F]^4)/d}
public void test01821() {
	check("Integrate[F^(a + b/(c + d*x))*(c + d*x)^3, x]", "(b^4*F^a*Gamma[-4, -((b*Log[F])/(c + d*x))]*Log[F]^4)/d");

}

// {F^(a + b/(c + d*x))/(c + d*x), x, 1, -((F^a*ExpIntegralEi[(b*Log[F])/(c + d*x)])/d)}
public void test01822() {
	check("Integrate[F^(a + b/(c + d*x))/(c + d*x), x]", "-((F^a*ExpIntegralEi[(b*Log[F])/(c + d*x)])/d)");

}

// {F^(a + b/(c + d*x))/(c + d*x)^2, x, 1, -(F^(a + b/(c + d*x))/(b*d*Log[F]))}
public void test01823() {
	check("Integrate[F^(a + b/(c + d*x))/(c + d*x)^2, x]", "-(F^(a + b/(c + d*x))/(b*d*Log[F]))");

}

// {F^(a + b/(c + d*x))/(c + d*x)^6, x, 1, -((F^a*Gamma[5, -((b*Log[F])/(c + d*x))])/(b^5*d*Log[F]^5))}
public void test01824() {
	check("Integrate[F^(a + b/(c + d*x))/(c + d*x)^6, x]", "-((F^a*Gamma[5, -((b*Log[F])/(c + d*x))])/(b^5*d*Log[F]^5))");

}

// {F^(a + b/(c + d*x))/(c + d*x)^7, x, 1, (F^a*Gamma[6, -((b*Log[F])/(c + d*x))])/(b^6*d*Log[F]^6)}
public void test01825() {
	check("Integrate[F^(a + b/(c + d*x))/(c + d*x)^7, x]", "(F^a*Gamma[6, -((b*Log[F])/(c + d*x))])/(b^6*d*Log[F]^6)");

}

// {F^(a + b/(c + d*x)^2)*(c + d*x)^m, x, 1, (F^a*(c + d*x)^(1 + m)*Gamma[(-1 - m)/2, -((b*Log[F])/(c + d*x)^2)]*(-((b*Log[F])/(c + d*x)^2))^((1 + m)/2))/(2*d)}
public void test01826() {
	check("Integrate[F^(a + b/(c + d*x)^2)*(c + d*x)^m, x]", "(F^a*(c + d*x)^(1 + m)*Gamma[(-1 - m)/2, -((b*Log[F])/(c + d*x)^2)]*(-((b*Log[F])/(c + d*x)^2))^((1 + m)/2))/(2*d)");

}

// {F^(a + b/(c + d*x)^2)*(c + d*x)^9, x, 1, -(b^5*F^a*Gamma[-5, -((b*Log[F])/(c + d*x)^2)]*Log[F]^5)/(2*d)}
public void test01827() {
	check("Integrate[F^(a + b/(c + d*x)^2)*(c + d*x)^9, x]", "-(b^5*F^a*Gamma[-5, -((b*Log[F])/(c + d*x)^2)]*Log[F]^5)/(2*d)");

}

// {F^(a + b/(c + d*x)^2)*(c + d*x)^7, x, 1, (b^4*F^a*Gamma[-4, -((b*Log[F])/(c + d*x)^2)]*Log[F]^4)/(2*d)}
public void test01828() {
	check("Integrate[F^(a + b/(c + d*x)^2)*(c + d*x)^7, x]", "(b^4*F^a*Gamma[-4, -((b*Log[F])/(c + d*x)^2)]*Log[F]^4)/(2*d)");

}

// {F^(a + b/(c + d*x)^2)/(c + d*x), x, 1, -(F^a*ExpIntegralEi[(b*Log[F])/(c + d*x)^2])/(2*d)}
public void test01829() {
	check("Integrate[F^(a + b/(c + d*x)^2)/(c + d*x), x]", "-(F^a*ExpIntegralEi[(b*Log[F])/(c + d*x)^2])/(2*d)");

}

// {F^(a + b/(c + d*x)^2)/(c + d*x)^3, x, 1, -F^(a + b/(c + d*x)^2)/(2*b*d*Log[F])}
public void test01830() {
	check("Integrate[F^(a + b/(c + d*x)^2)/(c + d*x)^3, x]", "-F^(a + b/(c + d*x)^2)/(2*b*d*Log[F])");

}

// {F^(a + b/(c + d*x)^2)/(c + d*x)^11, x, 1, -(F^a*Gamma[5, -((b*Log[F])/(c + d*x)^2)])/(2*b^5*d*Log[F]^5)}
public void test01831() {
	check("Integrate[F^(a + b/(c + d*x)^2)/(c + d*x)^11, x]", "-(F^a*Gamma[5, -((b*Log[F])/(c + d*x)^2)])/(2*b^5*d*Log[F]^5)");

}

// {F^(a + b/(c + d*x)^2)/(c + d*x)^13, x, 1, (F^a*Gamma[6, -((b*Log[F])/(c + d*x)^2)])/(2*b^6*d*Log[F]^6)}
public void test01832() {
	check("Integrate[F^(a + b/(c + d*x)^2)/(c + d*x)^13, x]", "(F^a*Gamma[6, -((b*Log[F])/(c + d*x)^2)])/(2*b^6*d*Log[F]^6)");

}

// {F^(a + b/(c + d*x)^2)*(c + d*x)^10, x, 1, (F^a*(c + d*x)^11*Gamma[-11/2, -((b*Log[F])/(c + d*x)^2)]*(-((b*Log[F])/(c + d*x)^2))^(11/2))/(2*d)}
public void test01833() {
	check("Integrate[F^(a + b/(c + d*x)^2)*(c + d*x)^10, x]", "(F^a*(c + d*x)^11*Gamma[-11/2, -((b*Log[F])/(c + d*x)^2)]*(-((b*Log[F])/(c + d*x)^2))^(11/2))/(2*d)");

}

// {F^(a + b/(c + d*x)^2)*(c + d*x)^8, x, 1, (F^a*(c + d*x)^9*Gamma[-9/2, -((b*Log[F])/(c + d*x)^2)]*(-((b*Log[F])/(c + d*x)^2))^(9/2))/(2*d)}
public void test01834() {
	check("Integrate[F^(a + b/(c + d*x)^2)*(c + d*x)^8, x]", "(F^a*(c + d*x)^9*Gamma[-9/2, -((b*Log[F])/(c + d*x)^2)]*(-((b*Log[F])/(c + d*x)^2))^(9/2))/(2*d)");

}

// {F^(a + b/(c + d*x)^2)/(c + d*x)^12, x, 1, (F^a*Gamma[11/2, -((b*Log[F])/(c + d*x)^2)])/(2*d*(c + d*x)^11*(-((b*Log[F])/(c + d*x)^2))^(11/2))}
public void test01835() {
	check("Integrate[F^(a + b/(c + d*x)^2)/(c + d*x)^12, x]", "(F^a*Gamma[11/2, -((b*Log[F])/(c + d*x)^2)])/(2*d*(c + d*x)^11*(-((b*Log[F])/(c + d*x)^2))^(11/2))");

}

// {F^(a + b/(c + d*x)^2)/(c + d*x)^14, x, 1, (F^a*Gamma[13/2, -((b*Log[F])/(c + d*x)^2)])/(2*d*(c + d*x)^13*(-((b*Log[F])/(c + d*x)^2))^(13/2))}
public void test01836() {
	check("Integrate[F^(a + b/(c + d*x)^2)/(c + d*x)^14, x]", "(F^a*Gamma[13/2, -((b*Log[F])/(c + d*x)^2)])/(2*d*(c + d*x)^13*(-((b*Log[F])/(c + d*x)^2))^(13/2))");

}

// {F^(a + b/(c + d*x)^3)*(c + d*x)^m, x, 1, (F^a*(c + d*x)^(1 + m)*Gamma[(-1 - m)/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^((1 + m)/3))/(3*d)}
public void test01837() {
	check("Integrate[F^(a + b/(c + d*x)^3)*(c + d*x)^m, x]", "(F^a*(c + d*x)^(1 + m)*Gamma[(-1 - m)/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^((1 + m)/3))/(3*d)");

}

// {F^(a + b/(c + d*x)^3)*(c + d*x)^14, x, 1, -(b^5*F^a*Gamma[-5, -((b*Log[F])/(c + d*x)^3)]*Log[F]^5)/(3*d)}
public void test01838() {
	check("Integrate[F^(a + b/(c + d*x)^3)*(c + d*x)^14, x]", "-(b^5*F^a*Gamma[-5, -((b*Log[F])/(c + d*x)^3)]*Log[F]^5)/(3*d)");

}

// {F^(a + b/(c + d*x)^3)*(c + d*x)^11, x, 1, (b^4*F^a*Gamma[-4, -((b*Log[F])/(c + d*x)^3)]*Log[F]^4)/(3*d)}
public void test01839() {
	check("Integrate[F^(a + b/(c + d*x)^3)*(c + d*x)^11, x]", "(b^4*F^a*Gamma[-4, -((b*Log[F])/(c + d*x)^3)]*Log[F]^4)/(3*d)");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x), x, 1, -(F^a*ExpIntegralEi[(b*Log[F])/(c + d*x)^3])/(3*d)}
public void test01840() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x), x]", "-(F^a*ExpIntegralEi[(b*Log[F])/(c + d*x)^3])/(3*d)");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x)^4, x, 1, -F^(a + b/(c + d*x)^3)/(3*b*d*Log[F])}
public void test01841() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x)^4, x]", "-F^(a + b/(c + d*x)^3)/(3*b*d*Log[F])");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x)^16, x, 1, -(F^a*Gamma[5, -((b*Log[F])/(c + d*x)^3)])/(3*b^5*d*Log[F]^5)}
public void test01842() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x)^16, x]", "-(F^a*Gamma[5, -((b*Log[F])/(c + d*x)^3)])/(3*b^5*d*Log[F]^5)");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x)^19, x, 1, (F^a*Gamma[6, -((b*Log[F])/(c + d*x)^3)])/(3*b^6*d*Log[F]^6)}
public void test01843() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x)^19, x]", "(F^a*Gamma[6, -((b*Log[F])/(c + d*x)^3)])/(3*b^6*d*Log[F]^6)");

}

// {F^(a + b/(c + d*x)^3)*(c + d*x)^3, x, 1, (F^a*(c + d*x)^4*Gamma[-4/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^(4/3))/(3*d)}
public void test01844() {
	check("Integrate[F^(a + b/(c + d*x)^3)*(c + d*x)^3, x]", "(F^a*(c + d*x)^4*Gamma[-4/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^(4/3))/(3*d)");

}

// {F^(a + b/(c + d*x)^3)*(c + d*x), x, 1, (F^a*(c + d*x)^2*Gamma[-2/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^(2/3))/(3*d)}
public void test01845() {
	check("Integrate[F^(a + b/(c + d*x)^3)*(c + d*x), x]", "(F^a*(c + d*x)^2*Gamma[-2/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^(2/3))/(3*d)");

}

// {F^(a + b/(c + d*x)^3), x, 1, (F^a*(c + d*x)*Gamma[-1/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^(1/3))/(3*d)}
public void test01846() {
	check("Integrate[F^(a + b/(c + d*x)^3), x]", "(F^a*(c + d*x)*Gamma[-1/3, -((b*Log[F])/(c + d*x)^3)]*(-((b*Log[F])/(c + d*x)^3))^(1/3))/(3*d)");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x)^2, x, 1, (F^a*Gamma[1/3, -((b*Log[F])/(c + d*x)^3)])/(3*d*(c + d*x)*(-((b*Log[F])/(c + d*x)^3))^(1/3))}
public void test01847() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x)^2, x]", "(F^a*Gamma[1/3, -((b*Log[F])/(c + d*x)^3)])/(3*d*(c + d*x)*(-((b*Log[F])/(c + d*x)^3))^(1/3))");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x)^3, x, 1, (F^a*Gamma[2/3, -((b*Log[F])/(c + d*x)^3)])/(3*d*(c + d*x)^2*(-((b*Log[F])/(c + d*x)^3))^(2/3))}
public void test01848() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x)^3, x]", "(F^a*Gamma[2/3, -((b*Log[F])/(c + d*x)^3)])/(3*d*(c + d*x)^2*(-((b*Log[F])/(c + d*x)^3))^(2/3))");

}

// {F^(a + b/(c + d*x)^3)/(c + d*x)^5, x, 1, (F^a*Gamma[4/3, -((b*Log[F])/(c + d*x)^3)])/(3*d*(c + d*x)^4*(-((b*Log[F])/(c + d*x)^3))^(4/3))}
public void test01849() {
	check("Integrate[F^(a + b/(c + d*x)^3)/(c + d*x)^5, x]", "(F^a*Gamma[4/3, -((b*Log[F])/(c + d*x)^3)])/(3*d*(c + d*x)^4*(-((b*Log[F])/(c + d*x)^3))^(4/3))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^m, x, 1, -((F^a*(c + d*x)^(1 + m)*Gamma[(1 + m)/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^((1 + m)/n)))}
public void test01850() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^m, x]", "-((F^a*(c + d*x)^(1 + m)*Gamma[(1 + m)/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^((1 + m)/n)))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^3, x, 1, -((F^a*(c + d*x)^4*Gamma[4/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^(4/n)))}
public void test01851() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^3, x]", "-((F^a*(c + d*x)^4*Gamma[4/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^(4/n)))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^2, x, 1, -((F^a*(c + d*x)^3*Gamma[3/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^(3/n)))}
public void test01852() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^2, x]", "-((F^a*(c + d*x)^3*Gamma[3/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^(3/n)))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x), x, 1, -((F^a*(c + d*x)^2*Gamma[2/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^(2/n)))}
public void test01853() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x), x]", "-((F^a*(c + d*x)^2*Gamma[2/n, -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^(2/n)))");

}

// {F^(a + b*(c + d*x)^n), x, 1, -((F^a*(c + d*x)*Gamma[n^(-1), -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^n^(-1)))}
public void test01854() {
	check("Integrate[F^(a + b*(c + d*x)^n), x]", "-((F^a*(c + d*x)*Gamma[n^(-1), -(b*(c + d*x)^n*Log[F])])/(d*n*(-(b*(c + d*x)^n*Log[F]))^n^(-1)))");

}

// {F^(a + b*(c + d*x)^n)/(c + d*x), x, 1, (F^a*ExpIntegralEi[b*(c + d*x)^n*Log[F]])/(d*n)}
public void test01855() {
	check("Integrate[F^(a + b*(c + d*x)^n)/(c + d*x), x]", "(F^a*ExpIntegralEi[b*(c + d*x)^n*Log[F]])/(d*n)");

}

// {F^(a + b*(c + d*x)^n)/(c + d*x)^2, x, 1, -((F^a*Gamma[-n^(-1), -(b*(c + d*x)^n*Log[F])]*(-(b*(c + d*x)^n*Log[F]))^n^(-1))/(d*n*(c + d*x)))}
public void test01856() {
	check("Integrate[F^(a + b*(c + d*x)^n)/(c + d*x)^2, x]", "-((F^a*Gamma[-n^(-1), -(b*(c + d*x)^n*Log[F])]*(-(b*(c + d*x)^n*Log[F]))^n^(-1))/(d*n*(c + d*x)))");

}

// {F^(a + b*(c + d*x)^n)/(c + d*x)^3, x, 1, -((F^a*Gamma[-2/n, -(b*(c + d*x)^n*Log[F])]*(-(b*(c + d*x)^n*Log[F]))^(2/n))/(d*n*(c + d*x)^2))}
public void test01857() {
	check("Integrate[F^(a + b*(c + d*x)^n)/(c + d*x)^3, x]", "-((F^a*Gamma[-2/n, -(b*(c + d*x)^n*Log[F])]*(-(b*(c + d*x)^n*Log[F]))^(2/n))/(d*n*(c + d*x)^2))");

}

// {F^(a + b*(c + d*x)^n)/(c + d*x)^4, x, 1, -((F^a*Gamma[-3/n, -(b*(c + d*x)^n*Log[F])]*(-(b*(c + d*x)^n*Log[F]))^(3/n))/(d*n*(c + d*x)^3))}
public void test01858() {
	check("Integrate[F^(a + b*(c + d*x)^n)/(c + d*x)^4, x]", "-((F^a*Gamma[-3/n, -(b*(c + d*x)^n*Log[F])]*(-(b*(c + d*x)^n*Log[F]))^(3/n))/(d*n*(c + d*x)^3))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 + 6*n), x, 1, -((F^a*Gamma[6, -(b*(c + d*x)^n*Log[F])])/(b^6*d*n*Log[F]^6))}
public void test01859() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 + 6*n), x]", "-((F^a*Gamma[6, -(b*(c + d*x)^n*Log[F])])/(b^6*d*n*Log[F]^6))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 + 5*n), x, 1, (F^a*Gamma[5, -(b*(c + d*x)^n*Log[F])])/(b^5*d*n*Log[F]^5)}
public void test01860() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 + 5*n), x]", "(F^a*Gamma[5, -(b*(c + d*x)^n*Log[F])])/(b^5*d*n*Log[F]^5)");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 + n), x, 1, F^(a + b*(c + d*x)^n)/(b*d*n*Log[F])}
public void test01861() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 + n), x]", "F^(a + b*(c + d*x)^n)/(b*d*n*Log[F])");

}

// {F^(a + b*(c + d*x)^n)/(c + d*x), x, 1, (F^a*ExpIntegralEi[b*(c + d*x)^n*Log[F]])/(d*n)}
public void test01862() {
	check("Integrate[F^(a + b*(c + d*x)^n)/(c + d*x), x]", "(F^a*ExpIntegralEi[b*(c + d*x)^n*Log[F]])/(d*n)");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 - 4*n), x, 1, -((b^4*F^a*Gamma[-4, -(b*(c + d*x)^n*Log[F])]*Log[F]^4)/(d*n))}
public void test01863() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 - 4*n), x]", "-((b^4*F^a*Gamma[-4, -(b*(c + d*x)^n*Log[F])]*Log[F]^4)/(d*n))");

}

// {F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 - 5*n), x, 1, (b^5*F^a*Gamma[-5, -(b*(c + d*x)^n*Log[F])]*Log[F]^5)/(d*n)}
public void test01864() {
	check("Integrate[F^(a + b*(c + d*x)^n)*(c + d*x)^(-1 - 5*n), x]", "(b^5*F^a*Gamma[-5, -(b*(c + d*x)^n*Log[F])]*Log[F]^5)/(d*n)");

}

// {F^(a + b*(c + d*x)^2), x, 1, (F^a*Sqrt[Pi]*Erfi[Sqrt[b]*(c + d*x)*Sqrt[Log[F]]])/(2*Sqrt[b]*d*Sqrt[Log[F]])}
public void test01865() {
	check("Integrate[F^(a + b*(c + d*x)^2), x]", "(F^a*Sqrt[Pi]*Erfi[Sqrt[b]*(c + d*x)*Sqrt[Log[F]]])/(2*Sqrt[b]*d*Sqrt[Log[F]])");

}

// {E^(e*(c + d*x)^3), x, 1, -((c + d*x)*Gamma[1/3, -(e*(c + d*x)^3)])/(3*d*(-(e*(c + d*x)^3))^(1/3))}
public void test01866() {
	check("Integrate[E^(e*(c + d*x)^3), x]", "-((c + d*x)*Gamma[1/3, -(e*(c + d*x)^3)])/(3*d*(-(e*(c + d*x)^3))^(1/3))");

}

// {E^(e/(c + d*x)^3), x, 1, ((-(e/(c + d*x)^3))^(1/3)*(c + d*x)*Gamma[-1/3, -(e/(c + d*x)^3)])/(3*d)}
public void test01867() {
	check("Integrate[E^(e/(c + d*x)^3), x]", "((-(e/(c + d*x)^3))^(1/3)*(c + d*x)*Gamma[-1/3, -(e/(c + d*x)^3)])/(3*d)");

}

// {E^((a + b*x)*(c + d*x))/x, x, 1, Unintegrable[E^(a*c + (b*c + a*d)*x + b*d*x^2)/x, x]}
public void test01868() {
	check("Integrate[E^((a + b*x)*(c + d*x))/x, x]", "Unintegrable[E^(a*c + (b*c + a*d)*x + b*d*x^2)/x, x]");

}

// {f^(a + b*x + c*x^2)*(b + 2*c*x), x, 1, f^(a + b*x + c*x^2)/Log[f]}
public void test01869() {
	check("Integrate[f^(a + b*x + c*x^2)*(b + 2*c*x), x]", "f^(a + b*x + c*x^2)/Log[f]");

}

// {f^(a + b*x + c*x^2)/(b + 2*c*x), x, 1, (f^(a - b^2/(4*c))*ExpIntegralEi[((b + 2*c*x)^2*Log[f])/(4*c)])/(4*c)}
public void test01870() {
	check("Integrate[f^(a + b*x + c*x^2)/(b + 2*c*x), x]", "(f^(a - b^2/(4*c))*ExpIntegralEi[((b + 2*c*x)^2*Log[f])/(4*c)])/(4*c)");

}

// {f^(b*x + c*x^2)*(b + 2*c*x), x, 1, f^(b*x + c*x^2)/Log[f]}
public void test01871() {
	check("Integrate[f^(b*x + c*x^2)*(b + 2*c*x), x]", "f^(b*x + c*x^2)/Log[f]");

}

// {f^(b*x + c*x^2)/(b + 2*c*x), x, 1, ExpIntegralEi[((b + 2*c*x)^2*Log[f])/(4*c)]/(4*c*f^(b^2/(4*c)))}
public void test01872() {
	check("Integrate[f^(b*x + c*x^2)/(b + 2*c*x), x]", "ExpIntegralEi[((b + 2*c*x)^2*Log[f])/(4*c)]/(4*c*f^(b^2/(4*c)))");

}

// {(d^2 - e^2*x^2)^(-1), x, 1, ArcTanh[(e*x)/d]/(d*e)}
public void test01873() {
	check("Integrate[(d^2 - e^2*x^2)^(-1), x]", "ArcTanh[(e*x)/d]/(d*e)");

}

// {F^(a + b*x + c*x^3)*(b + 3*c*x^2), x, 1, F^(a + b*x + c*x^3)/Log[F]}
public void test01874() {
	check("Integrate[F^(a + b*x + c*x^3)*(b + 3*c*x^2), x]", "F^(a + b*x + c*x^3)/Log[F]");

}

// {(F^(a + b*x + c*x^2)^(-1)*(b + 2*c*x))/(a + b*x + c*x^2)^2, x, 1, -(F^(a + b*x + c*x^2)^(-1)/Log[F])}
public void test01875() {
	check("Integrate[(F^(a + b*x + c*x^2)^(-1)*(b + 2*c*x))/(a + b*x + c*x^2)^2, x]", "-(F^(a + b*x + c*x^2)^(-1)/Log[F])");

}

// {E^(a + b*x + c*x^2)*(b + 2*c*x), x, 1, E^(a + b*x + c*x^2)}
public void test01876() {
	check("Integrate[E^(a + b*x + c*x^2)*(b + 2*c*x), x]", "E^(a + b*x + c*x^2)");

}

// {E^(2 - x^2)*x, x, 1, -E^(2 - x^2)/2}
public void test01877() {
	check("Integrate[E^(2 - x^2)*x, x]", "-E^(2 - x^2)/2");

}

// {E^Sqrt[4 + x]/Sqrt[4 + x], x, 1, 2*E^Sqrt[4 + x]}
public void test01878() {
	check("Integrate[E^Sqrt[4 + x]/Sqrt[4 + x], x]", "2*E^Sqrt[4 + x]");

}

// {E^(1 + x^2)*x, x, 1, E^(1 + x^2)/2}
public void test01879() {
	check("Integrate[E^(1 + x^2)*x, x]", "E^(1 + x^2)/2");

}

// {E^(1 + x^3)*x^2, x, 1, E^(1 + x^3)/3}
public void test01880() {
	check("Integrate[E^(1 + x^3)*x^2, x]", "E^(1 + x^3)/3");

}

// {E^Sqrt[x]/Sqrt[x], x, 1, 2*E^Sqrt[x]}
public void test01881() {
	check("Integrate[E^Sqrt[x]/Sqrt[x], x]", "2*E^Sqrt[x]");

}

// {E^x^(1/3)/x^(2/3), x, 1, 3*E^x^(1/3)}
public void test01882() {
	check("Integrate[E^x^(1/3)/x^(2/3), x]", "3*E^x^(1/3)");

}

// {Cos[3*x]/E^x, x, 1, -Cos[3*x]/(10*E^x) + (3*Sin[3*x])/(10*E^x)}
public void test01883() {
	check("Integrate[Cos[3*x]/E^x, x]", "-Cos[3*x]/(10*E^x) + (3*Sin[3*x])/(10*E^x)");

}

// {E^(3*x)*Cos[5*x], x, 1, (3*E^(3*x)*Cos[5*x])/34 + (5*E^(3*x)*Sin[5*x])/34}
public void test01884() {
	check("Integrate[E^(3*x)*Cos[5*x], x]", "(3*E^(3*x)*Cos[5*x])/34 + (5*E^(3*x)*Sin[5*x])/34");

}

// {E^x*Cos[4 + 3*x], x, 1, (E^x*Cos[4 + 3*x])/10 + (3*E^x*Sin[4 + 3*x])/10}
public void test01885() {
	check("Integrate[E^x*Cos[4 + 3*x], x]", "(E^x*Cos[4 + 3*x])/10 + (3*E^x*Sin[4 + 3*x])/10");

}

// {E^(6*x)*Sin[3*x], x, 1, -(E^(6*x)*Cos[3*x])/15 + (2*E^(6*x)*Sin[3*x])/15}
public void test01886() {
	check("Integrate[E^(6*x)*Sin[3*x], x]", "-(E^(6*x)*Cos[3*x])/15 + (2*E^(6*x)*Sin[3*x])/15");

}

// {(E^x^2*x^3)/(1 + x^2)^2, x, 1, E^x^2/(2*(1 + x^2))}
public void test01887() {
	check("Integrate[(E^x^2*x^3)/(1 + x^2)^2, x]", "E^x^2/(2*(1 + x^2))");

}

// {(1 + E^x)/Sqrt[E^x + x], x, 1, 2*Sqrt[E^x + x]}
public void test01888() {
	check("Integrate[(1 + E^x)/Sqrt[E^x + x], x]", "2*Sqrt[E^x + x]");

}

// {(1 + E^x)/(E^x + x), x, 1, Log[E^x + x]}
public void test01889() {
	check("Integrate[(1 + E^x)/(E^x + x), x]", "Log[E^x + x]");

}

// {3^(1 + x^2)*x, x, 1, 3^(1 + x^2)/(2*Log[3])}
public void test01890() {
	check("Integrate[3^(1 + x^2)*x, x]", "3^(1 + x^2)/(2*Log[3])");

}

// {2^Sqrt[x]/Sqrt[x], x, 1, 2^(1 + Sqrt[x])/Log[2]}
public void test01891() {
	check("Integrate[2^Sqrt[x]/Sqrt[x], x]", "2^(1 + Sqrt[x])/Log[2]");

}

// {2^x^(-1)/x^2, x, 1, -(2^x^(-1)/Log[2])}
public void test01892() {
	check("Integrate[2^x^(-1)/x^2, x]", "-(2^x^(-1)/Log[2])");

}

// {10^Sqrt[x]/Sqrt[x], x, 1, (2^(1 + Sqrt[x])*5^Sqrt[x])/Log[10]}
public void test01893() {
	check("Integrate[10^Sqrt[x]/Sqrt[x], x]", "(2^(1 + Sqrt[x])*5^Sqrt[x])/Log[10]");

}

// {(E^x*x^2)/Sqrt[5*E^x + x^3], x, 1, (2*x^2*Sqrt[5*E^x + x^3])/5 - (3*CannotIntegrate[x^4/Sqrt[5*E^x + x^3], x])/5 - (4*CannotIntegrate[x*Sqrt[5*E^x + x^3], x])/5}
public void test01894() {
	check("Integrate[(E^x*x^2)/Sqrt[5*E^x + x^3], x]", "(2*x^2*Sqrt[5*E^x + x^3])/5 - (3*CannotIntegrate[x^4/Sqrt[5*E^x + x^3], x])/5 - (4*CannotIntegrate[x*Sqrt[5*E^x + x^3], x])/5");

}

// {-((1 + E^x)/(E^x + x)^(1/3)), x, 1, (-3*(E^x + x)^(2/3))/2}
public void test01895() {
	check("Integrate[-((1 + E^x)/(E^x + x)^(1/3)), x]", "(-3*(E^x + x)^(2/3))/2");

}

// {x/(E^x + x)^(1/3), x, 1, (-3*(E^x + x)^(2/3))/2 + CannotIntegrate[(E^x + x)^(-1/3), x] + CannotIntegrate[(E^x + x)^(2/3), x]}
public void test01896() {
	check("Integrate[x/(E^x + x)^(1/3), x]", "(-3*(E^x + x)^(2/3))/2 + CannotIntegrate[(E^x + x)^(-1/3), x] + CannotIntegrate[(E^x + x)^(2/3), x]");

}

// {E^x^n*x^m, x, 1, -((x^(1 + m)*Gamma[(1 + m)/n, -x^n])/(n*(-x^n)^((1 + m)/n)))}
public void test01897() {
	check("Integrate[E^x^n*x^m, x]", "-((x^(1 + m)*Gamma[(1 + m)/n, -x^n])/(n*(-x^n)^((1 + m)/n)))");

}

// {f^x^n*x^m, x, 1, -((x^(1 + m)*Gamma[(1 + m)/n, -(x^n*Log[f])])/(n*(-(x^n*Log[f]))^((1 + m)/n)))}
public void test01898() {
	check("Integrate[f^x^n*x^m, x]", "-((x^(1 + m)*Gamma[(1 + m)/n, -(x^n*Log[f])])/(n*(-(x^n*Log[f]))^((1 + m)/n)))");

}

// {E^(a + b*x)^n*(a + b*x)^m, x, 1, -(((a + b*x)^(1 + m)*Gamma[(1 + m)/n, -(a + b*x)^n])/(b*n*(-(a + b*x)^n)^((1 + m)/n)))}
public void test01899() {
	check("Integrate[E^(a + b*x)^n*(a + b*x)^m, x]", "-(((a + b*x)^(1 + m)*Gamma[(1 + m)/n, -(a + b*x)^n])/(b*n*(-(a + b*x)^n)^((1 + m)/n)))");

}

// {f^(a + b*x)^n*(a + b*x)^m, x, 1, -(((a + b*x)^(1 + m)*Gamma[(1 + m)/n, -((a + b*x)^n*Log[f])])/(b*n*(-((a + b*x)^n*Log[f]))^((1 + m)/n)))}
public void test01900() {
	check("Integrate[f^(a + b*x)^n*(a + b*x)^m, x]", "-(((a + b*x)^(1 + m)*Gamma[(1 + m)/n, -((a + b*x)^n*Log[f])])/(b*n*(-((a + b*x)^n*Log[f]))^((1 + m)/n)))");

}

// {Log[c*x]/(1 - c*x), x, 1, PolyLog[2, 1 - c*x]/c}
public void test01901() {
	check("Integrate[Log[c*x]/(1 - c*x), x]", "PolyLog[2, 1 - c*x]/c");

}

// {Log[x/c]/(c - x), x, 1, PolyLog[2, 1 - x/c]}
public void test01902() {
	check("Integrate[Log[x/c]/(c - x), x]", "PolyLog[2, 1 - x/c]");

}

// {Sqrt[a + b*Log[c*x^n]]/(d + e*x)^2, x, 1, (x*Sqrt[a + b*Log[c*x^n]])/(d*(d + e*x)) - (b*n*Unintegrable[1/((d + e*x)*Sqrt[a + b*Log[c*x^n]]), x])/(2*d)}
public void test01903() {
	check("Integrate[Sqrt[a + b*Log[c*x^n]]/(d + e*x)^2, x]", "(x*Sqrt[a + b*Log[c*x^n]])/(d*(d + e*x)) - (b*n*Unintegrable[1/((d + e*x)*Sqrt[a + b*Log[c*x^n]]), x])/(2*d)");

}

// {Sqrt[a + b*Log[c*x^n]]/(d + e*x)^3, x, 1, -Sqrt[a + b*Log[c*x^n]]/(2*e*(d + e*x)^2) + (b*n*Unintegrable[1/(x*(d + e*x)^2*Sqrt[a + b*Log[c*x^n]]), x])/(4*e)}
public void test01904() {
	check("Integrate[Sqrt[a + b*Log[c*x^n]]/(d + e*x)^3, x]", "-Sqrt[a + b*Log[c*x^n]]/(2*e*(d + e*x)^2) + (b*n*Unintegrable[1/(x*(d + e*x)^2*Sqrt[a + b*Log[c*x^n]]), x])/(4*e)");

}

// {(f*x)^m*(a + b*Log[c*x^n]), x, 1, -((b*n*(f*x)^(1 + m))/(f*(1 + m)^2)) + ((f*x)^(1 + m)*(a + b*Log[c*x^n]))/(f*(1 + m))}
public void test01905() {
	check("Integrate[(f*x)^m*(a + b*Log[c*x^n]), x]", "-((b*n*(f*x)^(1 + m))/(f*(1 + m)^2)) + ((f*x)^(1 + m)*(a + b*Log[c*x^n]))/(f*(1 + m))");

}

// {(f*x)^m*(a + b*Log[c*x^n]), x, 1, -((b*n*(f*x)^(1 + m))/(f*(1 + m)^2)) + ((f*x)^(1 + m)*(a + b*Log[c*x^n]))/(f*(1 + m))}
public void test01906() {
	check("Integrate[(f*x)^m*(a + b*Log[c*x^n]), x]", "-((b*n*(f*x)^(1 + m))/(f*(1 + m)^2)) + ((f*x)^(1 + m)*(a + b*Log[c*x^n]))/(f*(1 + m))");

}

// {(f*x)^(-1 + m)*(a + b*Log[c*x^n]), x, 1, -((b*n*(f*x)^m)/(f*m^2)) + ((f*x)^m*(a + b*Log[c*x^n]))/(f*m)}
public void test01907() {
	check("Integrate[(f*x)^(-1 + m)*(a + b*Log[c*x^n]), x]", "-((b*n*(f*x)^m)/(f*m^2)) + ((f*x)^m*(a + b*Log[c*x^n]))/(f*m)");

}

// {(f*x)^m*(a + b*Log[c*x^n]), x, 1, -((b*n*(f*x)^(1 + m))/(f*(1 + m)^2)) + ((f*x)^(1 + m)*(a + b*Log[c*x^n]))/(f*(1 + m))}
public void test01908() {
	check("Integrate[(f*x)^m*(a + b*Log[c*x^n]), x]", "-((b*n*(f*x)^(1 + m))/(f*(1 + m)^2)) + ((f*x)^(1 + m)*(a + b*Log[c*x^n]))/(f*(1 + m))");

}

// {x^3*Log[c*x], x, 1, -x^4/16 + (x^4*Log[c*x])/4}
public void test01909() {
	check("Integrate[x^3*Log[c*x], x]", "-x^4/16 + (x^4*Log[c*x])/4");

}

// {x^2*Log[c*x], x, 1, -x^3/9 + (x^3*Log[c*x])/3}
public void test01910() {
	check("Integrate[x^2*Log[c*x], x]", "-x^3/9 + (x^3*Log[c*x])/3");

}

// {x*Log[c*x], x, 1, -x^2/4 + (x^2*Log[c*x])/2}
public void test01911() {
	check("Integrate[x*Log[c*x], x]", "-x^2/4 + (x^2*Log[c*x])/2");

}

// {Log[c*x], x, 1, -x + x*Log[c*x]}
public void test01912() {
	check("Integrate[Log[c*x], x]", "-x + x*Log[c*x]");

}

// {Log[c*x]/x, x, 1, Log[c*x]^2/2}
public void test01913() {
	check("Integrate[Log[c*x]/x, x]", "Log[c*x]^2/2");

}

// {Log[c*x]/x^2, x, 1, -x^(-1) - Log[c*x]/x}
public void test01914() {
	check("Integrate[Log[c*x]/x^2, x]", "-x^(-1) - Log[c*x]/x");

}

// {Log[c*x]/x^3, x, 1, -1/(4*x^2) - Log[c*x]/(2*x^2)}
public void test01915() {
	check("Integrate[Log[c*x]/x^3, x]", "-1/(4*x^2) - Log[c*x]/(2*x^2)");

}

// {Log[c*x]^(-1), x, 1, LogIntegral[c*x]/c}
public void test01916() {
	check("Integrate[Log[c*x]^(-1), x]", "LogIntegral[c*x]/c");

}

// {x^3*(a + b*Log[c*x^n]), x, 1, -(b*n*x^4)/16 + (x^4*(a + b*Log[c*x^n]))/4}
public void test01917() {
	check("Integrate[x^3*(a + b*Log[c*x^n]), x]", "-(b*n*x^4)/16 + (x^4*(a + b*Log[c*x^n]))/4");

}

// {x^2*(a + b*Log[c*x^n]), x, 1, -(b*n*x^3)/9 + (x^3*(a + b*Log[c*x^n]))/3}
public void test01918() {
	check("Integrate[x^2*(a + b*Log[c*x^n]), x]", "-(b*n*x^3)/9 + (x^3*(a + b*Log[c*x^n]))/3");

}

// {x*(a + b*Log[c*x^n]), x, 1, -(b*n*x^2)/4 + (x^2*(a + b*Log[c*x^n]))/2}
public void test01919() {
	check("Integrate[x*(a + b*Log[c*x^n]), x]", "-(b*n*x^2)/4 + (x^2*(a + b*Log[c*x^n]))/2");

}

// {(a + b*Log[c*x^n])/x, x, 1, (a + b*Log[c*x^n])^2/(2*b*n)}
public void test01920() {
	check("Integrate[(a + b*Log[c*x^n])/x, x]", "(a + b*Log[c*x^n])^2/(2*b*n)");

}

// {(a + b*Log[c*x^n])/x^2, x, 1, -((b*n)/x) - (a + b*Log[c*x^n])/x}
public void test01921() {
	check("Integrate[(a + b*Log[c*x^n])/x^2, x]", "-((b*n)/x) - (a + b*Log[c*x^n])/x");

}

// {(a + b*Log[c*x^n])/x^3, x, 1, -(b*n)/(4*x^2) - (a + b*Log[c*x^n])/(2*x^2)}
public void test01922() {
	check("Integrate[(a + b*Log[c*x^n])/x^3, x]", "-(b*n)/(4*x^2) - (a + b*Log[c*x^n])/(2*x^2)");

}

// {(d*x)^(5/2)*(a + b*Log[c*x^n]), x, 1, (-4*b*n*(d*x)^(7/2))/(49*d) + (2*(d*x)^(7/2)*(a + b*Log[c*x^n]))/(7*d)}
public void test01923() {
	check("Integrate[(d*x)^(5/2)*(a + b*Log[c*x^n]), x]", "(-4*b*n*(d*x)^(7/2))/(49*d) + (2*(d*x)^(7/2)*(a + b*Log[c*x^n]))/(7*d)");

}

// {(d*x)^(3/2)*(a + b*Log[c*x^n]), x, 1, (-4*b*n*(d*x)^(5/2))/(25*d) + (2*(d*x)^(5/2)*(a + b*Log[c*x^n]))/(5*d)}
public void test01924() {
	check("Integrate[(d*x)^(3/2)*(a + b*Log[c*x^n]), x]", "(-4*b*n*(d*x)^(5/2))/(25*d) + (2*(d*x)^(5/2)*(a + b*Log[c*x^n]))/(5*d)");

}

// {Sqrt[d*x]*(a + b*Log[c*x^n]), x, 1, (-4*b*n*(d*x)^(3/2))/(9*d) + (2*(d*x)^(3/2)*(a + b*Log[c*x^n]))/(3*d)}
public void test01925() {
	check("Integrate[Sqrt[d*x]*(a + b*Log[c*x^n]), x]", "(-4*b*n*(d*x)^(3/2))/(9*d) + (2*(d*x)^(3/2)*(a + b*Log[c*x^n]))/(3*d)");

}

// {(a + b*Log[c*x^n])/Sqrt[d*x], x, 1, (-4*b*n*Sqrt[d*x])/d + (2*Sqrt[d*x]*(a + b*Log[c*x^n]))/d}
public void test01926() {
	check("Integrate[(a + b*Log[c*x^n])/Sqrt[d*x], x]", "(-4*b*n*Sqrt[d*x])/d + (2*Sqrt[d*x]*(a + b*Log[c*x^n]))/d");

}

// {(a + b*Log[c*x^n])/(d*x)^(3/2), x, 1, (-4*b*n)/(d*Sqrt[d*x]) - (2*(a + b*Log[c*x^n]))/(d*Sqrt[d*x])}
public void test01927() {
	check("Integrate[(a + b*Log[c*x^n])/(d*x)^(3/2), x]", "(-4*b*n)/(d*Sqrt[d*x]) - (2*(a + b*Log[c*x^n]))/(d*Sqrt[d*x])");

}

// {(a + b*Log[c*x^n])/(d*x)^(5/2), x, 1, (-4*b*n)/(9*d*(d*x)^(3/2)) - (2*(a + b*Log[c*x^n]))/(3*d*(d*x)^(3/2))}
public void test01928() {
	check("Integrate[(a + b*Log[c*x^n])/(d*x)^(5/2), x]", "(-4*b*n)/(9*d*(d*x)^(3/2)) - (2*(a + b*Log[c*x^n]))/(3*d*(d*x)^(3/2))");

}

// {(d*x)^m*(a + (a*(1 + m)*Log[c*x^n])/n), x, 1, (a*(d*x)^(1 + m)*Log[c*x^n])/(d*n)}
public void test01929() {
	check("Integrate[(d*x)^m*(a + (a*(1 + m)*Log[c*x^n])/n), x]", "(a*(d*x)^(1 + m)*Log[c*x^n])/(d*n)");

}

// {(d*x)^m*(a + b*Log[c*x^n]), x, 1, -((b*n*(d*x)^(1 + m))/(d*(1 + m)^2)) + ((d*x)^(1 + m)*(a + b*Log[c*x^n]))/(d*(1 + m))}
public void test01930() {
	check("Integrate[(d*x)^m*(a + b*Log[c*x^n]), x]", "-((b*n*(d*x)^(1 + m))/(d*(1 + m)^2)) + ((d*x)^(1 + m)*(a + b*Log[c*x^n]))/(d*(1 + m))");

}

// {(d*x)^(-1 + n)*Log[c*x^n], x, 1, -((d*x)^n/(d*n)) + ((d*x)^n*Log[c*x^n])/(d*n)}
public void test01931() {
	check("Integrate[(d*x)^(-1 + n)*Log[c*x^n], x]", "-((d*x)^n/(d*n)) + ((d*x)^n*Log[c*x^n])/(d*n)");

}

// {PolyLog[k, e*x^q]/(x*(a + b*Log[c*x^n])^2), x, 1, -(PolyLog[k, e*x^q]/(b*n*(a + b*Log[c*x^n]))) + (q*Unintegrable[PolyLog[-1 + k, e*x^q]/(x*(a + b*Log[c*x^n])), x])/(b*n)}
public void test01932() {
	check("Integrate[PolyLog[k, e*x^q]/(x*(a + b*Log[c*x^n])^2), x]", "-(PolyLog[k, e*x^q]/(b*n*(a + b*Log[c*x^n]))) + (q*Unintegrable[PolyLog[-1 + k, e*x^q]/(x*(a + b*Log[c*x^n])), x])/(b*n)");

}

// {Log[1 + e*x]/x, x, 1, -PolyLog[2, -(e*x)]}
public void test01933() {
	check("Integrate[Log[1 + e*x]/x, x]", "-PolyLog[2, -(e*x)]");

}

// {Log[e*x]/x, x, 1, Log[e*x]^2/2}
public void test01934() {
	check("Integrate[Log[e*x]/x, x]", "Log[e*x]^2/2");

}

// {(a + b*Log[e*x])/x, x, 1, (a + b*Log[e*x])^2/(2*b)}
public void test01935() {
	check("Integrate[(a + b*Log[e*x])/x, x]", "(a + b*Log[e*x])^2/(2*b)");

}

// {Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x)^2, x, 1, ((d + e*x)*Sqrt[a + b*Log[c*(d + e*x)^n]])/((e*f - d*g)*(f + g*x)) - (b*e*n*Unintegrable[1/((f + g*x)*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/(2*(e*f - d*g))}
public void test01936() {
	check("Integrate[Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x)^2, x]", "((d + e*x)*Sqrt[a + b*Log[c*(d + e*x)^n]])/((e*f - d*g)*(f + g*x)) - (b*e*n*Unintegrable[1/((f + g*x)*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/(2*(e*f - d*g))");

}

// {Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x)^3, x, 1, -Sqrt[a + b*Log[c*(d + e*x)^n]]/(2*g*(f + g*x)^2) + (b*e*n*Unintegrable[1/((d + e*x)*(f + g*x)^2*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/(4*g)}
public void test01937() {
	check("Integrate[Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x)^3, x]", "-Sqrt[a + b*Log[c*(d + e*x)^n]]/(2*g*(f + g*x)^2) + (b*e*n*Unintegrable[1/((d + e*x)*(f + g*x)^2*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/(4*g)");

}

// {(a + b*Log[c*(d + e*x)^n])^(3/2)/(f + g*x)^2, x, 1, ((d + e*x)*(a + b*Log[c*(d + e*x)^n])^(3/2))/((e*f - d*g)*(f + g*x)) - (3*b*e*n*Unintegrable[Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x), x])/(2*(e*f - d*g))}
public void test01938() {
	check("Integrate[(a + b*Log[c*(d + e*x)^n])^(3/2)/(f + g*x)^2, x]", "((d + e*x)*(a + b*Log[c*(d + e*x)^n])^(3/2))/((e*f - d*g)*(f + g*x)) - (3*b*e*n*Unintegrable[Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x), x])/(2*(e*f - d*g))");

}

// {(a + b*Log[c*(d + e*x)^n])^(3/2)/(f + g*x)^3, x, 1, -(a + b*Log[c*(d + e*x)^n])^(3/2)/(2*g*(f + g*x)^2) + (3*b*e*n*Unintegrable[Sqrt[a + b*Log[c*(d + e*x)^n]]/((d + e*x)*(f + g*x)^2), x])/(4*g)}
public void test01939() {
	check("Integrate[(a + b*Log[c*(d + e*x)^n])^(3/2)/(f + g*x)^3, x]", "-(a + b*Log[c*(d + e*x)^n])^(3/2)/(2*g*(f + g*x)^2) + (3*b*e*n*Unintegrable[Sqrt[a + b*Log[c*(d + e*x)^n]]/((d + e*x)*(f + g*x)^2), x])/(4*g)");

}

// {(a + b*Log[c*(d + e*x)^n])^(5/2)/(f + g*x)^2, x, 1, ((d + e*x)*(a + b*Log[c*(d + e*x)^n])^(5/2))/((e*f - d*g)*(f + g*x)) - (5*b*e*n*Unintegrable[(a + b*Log[c*(d + e*x)^n])^(3/2)/(f + g*x), x])/(2*(e*f - d*g))}
public void test01940() {
	check("Integrate[(a + b*Log[c*(d + e*x)^n])^(5/2)/(f + g*x)^2, x]", "((d + e*x)*(a + b*Log[c*(d + e*x)^n])^(5/2))/((e*f - d*g)*(f + g*x)) - (5*b*e*n*Unintegrable[(a + b*Log[c*(d + e*x)^n])^(3/2)/(f + g*x), x])/(2*(e*f - d*g))");

}

// {(a + b*Log[c*(d + e*x)^n])^(5/2)/(f + g*x)^3, x, 1, -(a + b*Log[c*(d + e*x)^n])^(5/2)/(2*g*(f + g*x)^2) + (5*b*e*n*Unintegrable[(a + b*Log[c*(d + e*x)^n])^(3/2)/((d + e*x)*(f + g*x)^2), x])/(4*g)}
public void test01941() {
	check("Integrate[(a + b*Log[c*(d + e*x)^n])^(5/2)/(f + g*x)^3, x]", "-(a + b*Log[c*(d + e*x)^n])^(5/2)/(2*g*(f + g*x)^2) + (5*b*e*n*Unintegrable[(a + b*Log[c*(d + e*x)^n])^(3/2)/((d + e*x)*(f + g*x)^2), x])/(4*g)");

}

// {Sqrt[f + g*x]*Sqrt[a + b*Log[c*(d + e*x)^n]], x, 1, (2*(f + g*x)^(3/2)*Sqrt[a + b*Log[c*(d + e*x)^n]])/(3*g) - (b*e*n*Unintegrable[(f + g*x)^(3/2)/((d + e*x)*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/(3*g)}
public void test01942() {
	check("Integrate[Sqrt[f + g*x]*Sqrt[a + b*Log[c*(d + e*x)^n]], x]", "(2*(f + g*x)^(3/2)*Sqrt[a + b*Log[c*(d + e*x)^n]])/(3*g) - (b*e*n*Unintegrable[(f + g*x)^(3/2)/((d + e*x)*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/(3*g)");

}

// {Sqrt[a + b*Log[c*(d + e*x)^n]]/Sqrt[f + g*x], x, 1, (2*Sqrt[f + g*x]*Sqrt[a + b*Log[c*(d + e*x)^n]])/g - (b*e*n*Unintegrable[Sqrt[f + g*x]/((d + e*x)*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/g}
public void test01943() {
	check("Integrate[Sqrt[a + b*Log[c*(d + e*x)^n]]/Sqrt[f + g*x], x]", "(2*Sqrt[f + g*x]*Sqrt[a + b*Log[c*(d + e*x)^n]])/g - (b*e*n*Unintegrable[Sqrt[f + g*x]/((d + e*x)*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/g");

}

// {Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x)^(3/2), x, 1, (-2*Sqrt[a + b*Log[c*(d + e*x)^n]])/(g*Sqrt[f + g*x]) + (b*e*n*Unintegrable[1/((d + e*x)*Sqrt[f + g*x]*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/g}
public void test01944() {
	check("Integrate[Sqrt[a + b*Log[c*(d + e*x)^n]]/(f + g*x)^(3/2), x]", "(-2*Sqrt[a + b*Log[c*(d + e*x)^n]])/(g*Sqrt[f + g*x]) + (b*e*n*Unintegrable[1/((d + e*x)*Sqrt[f + g*x]*Sqrt[a + b*Log[c*(d + e*x)^n]]), x])/g");

}

// {Log[(a*(1 - c) + b*(1 + c)*x)/(a + b*x)]/(a^2 - b^2*x^2), x, 1, PolyLog[2, 1 - (a*(1 - c) + b*(1 + c)*x)/(a + b*x)]/(2*a*b)}
public void test01945() {
	check("Integrate[Log[(a*(1 - c) + b*(1 + c)*x)/(a + b*x)]/(a^2 - b^2*x^2), x]", "PolyLog[2, 1 - (a*(1 - c) + b*(1 + c)*x)/(a + b*x)]/(2*a*b)");

}

// {Log[1 - (c*(a - b*x))/(a + b*x)]/(a^2 - b^2*x^2), x, 1, PolyLog[2, (c*(a - b*x))/(a + b*x)]/(2*a*b)}
public void test01946() {
	check("Integrate[Log[1 - (c*(a - b*x))/(a + b*x)]/(a^2 - b^2*x^2), x]", "PolyLog[2, (c*(a - b*x))/(a + b*x)]/(2*a*b)");

}

// {(Log[a + b*x]*Log[c + d*x])/x, x, 1, Log[-((b*x)/a)]*Log[a + b*x]*Log[c + d*x] + ((Log[-((b*x)/a)] + Log[(b*c - a*d)/(b*(c + d*x))] - Log[-(((b*c - a*d)*x)/(a*(c + d*x)))])*Log[(a*(c + d*x))/(c*(a + b*x))]^2)/2 - ((Log[-((b*x)/a)] - Log[-((d*x)/c)])*(Log[a + b*x] + Log[(a*(c + d*x))/(c*(a + b*x))])^2)/2 + (Log[c + d*x] - Log[(a*(c + d*x))/(c*(a + b*x))])*PolyLog[2, 1 + (b*x)/a] + Log[(a*(c + d*x))/(c*(a + b*x))]*PolyLog[2, (c*(a + b*x))/(a*(c + d*x))] - Log[(a*(c + d*x))/(c*(a + b*x))]*PolyLog[2, (d*(a + b*x))/(b*(c + d*x))] + (Log[a + b*x] + Log[(a*(c + d*x))/(c*(a + b*x))])*PolyLog[2, 1 + (d*x)/c] - PolyLog[3, 1 + (b*x)/a] + PolyLog[3, (c*(a + b*x))/(a*(c + d*x))] - PolyLog[3, (d*(a + b*x))/(b*(c + d*x))] - PolyLog[3, 1 + (d*x)/c]}
public void test01947() {
	check("Integrate[(Log[a + b*x]*Log[c + d*x])/x, x]", "Log[-((b*x)/a)]*Log[a + b*x]*Log[c + d*x] + ((Log[-((b*x)/a)] + Log[(b*c - a*d)/(b*(c + d*x))] - Log[-(((b*c - a*d)*x)/(a*(c + d*x)))])*Log[(a*(c + d*x))/(c*(a + b*x))]^2)/2 - ((Log[-((b*x)/a)] - Log[-((d*x)/c)])*(Log[a + b*x] + Log[(a*(c + d*x))/(c*(a + b*x))])^2)/2 + (Log[c + d*x] - Log[(a*(c + d*x))/(c*(a + b*x))])*PolyLog[2, 1 + (b*x)/a] + Log[(a*(c + d*x))/(c*(a + b*x))]*PolyLog[2, (c*(a + b*x))/(a*(c + d*x))] - Log[(a*(c + d*x))/(c*(a + b*x))]*PolyLog[2, (d*(a + b*x))/(b*(c + d*x))] + (Log[a + b*x] + Log[(a*(c + d*x))/(c*(a + b*x))])*PolyLog[2, 1 + (d*x)/c] - PolyLog[3, 1 + (b*x)/a] + PolyLog[3, (c*(a + b*x))/(a*(c + d*x))] - PolyLog[3, (d*(a + b*x))/(b*(c + d*x))] - PolyLog[3, 1 + (d*x)/c]");

}

// {Log[1 + b/x]/x, x, 1, PolyLog[2, -(b/x)]}
public void test01948() {
	check("Integrate[Log[1 + b/x]/x, x]", "PolyLog[2, -(b/x)]");

}

// {Log[c*(a + b*x^2)^p]^3/x^2, x, 1, -(Log[c*(a + b*x^2)^p]^3/x) + 6*b*p*Unintegrable[Log[c*(a + b*x^2)^p]^2/(a + b*x^2), x]}
public void test01949() {
	check("Integrate[Log[c*(a + b*x^2)^p]^3/x^2, x]", "-(Log[c*(a + b*x^2)^p]^3/x) + 6*b*p*Unintegrable[Log[c*(a + b*x^2)^p]^2/(a + b*x^2), x]");

}

// {(f*x)^m*Log[c*(d + e*x^2)^p]^3, x, 1, ((f*x)^(1 + m)*Log[c*(d + e*x^2)^p]^3)/(f*(1 + m)) - (6*e*p*Unintegrable[((f*x)^(2 + m)*Log[c*(d + e*x^2)^p]^2)/(d + e*x^2), x])/(f^2*(1 + m))}
public void test01950() {
	check("Integrate[(f*x)^m*Log[c*(d + e*x^2)^p]^3, x]", "((f*x)^(1 + m)*Log[c*(d + e*x^2)^p]^3)/(f*(1 + m)) - (6*e*p*Unintegrable[((f*x)^(2 + m)*Log[c*(d + e*x^2)^p]^2)/(d + e*x^2), x])/(f^2*(1 + m))");

}

// {(f*x)^m*Log[c*(d + e*x^2)^p]^2, x, 1, ((f*x)^(1 + m)*Log[c*(d + e*x^2)^p]^2)/(f*(1 + m)) - (4*e*p*Unintegrable[((f*x)^(2 + m)*Log[c*(d + e*x^2)^p])/(d + e*x^2), x])/(f^2*(1 + m))}
public void test01951() {
	check("Integrate[(f*x)^m*Log[c*(d + e*x^2)^p]^2, x]", "((f*x)^(1 + m)*Log[c*(d + e*x^2)^p]^2)/(f*(1 + m)) - (4*e*p*Unintegrable[((f*x)^(2 + m)*Log[c*(d + e*x^2)^p])/(d + e*x^2), x])/(f^2*(1 + m))");

}

// {Log[1 + e*x^n]/x, x, 1, -(PolyLog[2, -(e*x^n)]/n)}
public void test01952() {
	check("Integrate[Log[1 + e*x^n]/x, x]", "-(PolyLog[2, -(e*x^n)]/n)");

}

// {Log[(a + b*x^n)/x^n]/(c + d*x), x, 1, Unintegrable[Log[b + a/x^n]/(c + d*x), x]}
public void test01953() {
	check("Integrate[Log[(a + b*x^n)/x^n]/(c + d*x), x]", "Unintegrable[Log[b + a/x^n]/(c + d*x), x]");

}

// {(a + b*Log[c*(d + e*Sqrt[x])])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])])^p/x, x]}
public void test01954() {
	check("Integrate[(a + b*Log[c*(d + e*Sqrt[x])])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])])^p/x, x]");

}

// {(a + b*Log[c*(d + e*Sqrt[x])])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])])^p/x^2, x]}
public void test01955() {
	check("Integrate[(a + b*Log[c*(d + e*Sqrt[x])])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])])^p/x^2, x]");

}

// {(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x, x]}
public void test01956() {
	check("Integrate[(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x, x]");

}

// {(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x^2, x]}
public void test01957() {
	check("Integrate[(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e*Sqrt[x])^2])^p/x^2, x]");

}

// {x*(a + b*Log[c*(d + e/Sqrt[x])])^p, x, 1, Unintegrable[x*(a + b*Log[c*(d + e/Sqrt[x])])^p, x]}
public void test01958() {
	check("Integrate[x*(a + b*Log[c*(d + e/Sqrt[x])])^p, x]", "Unintegrable[x*(a + b*Log[c*(d + e/Sqrt[x])])^p, x]");

}

// {(a + b*Log[c*(d + e/Sqrt[x])])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])])^p, x]}
public void test01959() {
	check("Integrate[(a + b*Log[c*(d + e/Sqrt[x])])^p, x]", "Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])])^p, x]");

}

// {(a + b*Log[c*(d + e/Sqrt[x])])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])])^p/x, x]}
public void test01960() {
	check("Integrate[(a + b*Log[c*(d + e/Sqrt[x])])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])])^p/x, x]");

}

// {x*(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x, 1, Unintegrable[x*(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x]}
public void test01961() {
	check("Integrate[x*(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x]", "Unintegrable[x*(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x]");

}

// {(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x]}
public void test01962() {
	check("Integrate[(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x]", "Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])^2])^p, x]");

}

// {(a + b*Log[c*(d + e/Sqrt[x])^2])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])^2])^p/x, x]}
public void test01963() {
	check("Integrate[(a + b*Log[c*(d + e/Sqrt[x])^2])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e/Sqrt[x])^2])^p/x, x]");

}

// {(a + b*Log[c*(d + e*x^(1/3))])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(1/3))])^p/x, x]}
public void test01964() {
	check("Integrate[(a + b*Log[c*(d + e*x^(1/3))])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(1/3))])^p/x, x]");

}

// {(a + b*Log[c*(d + e*x^(1/3))])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(1/3))])^p/x^2, x]}
public void test01965() {
	check("Integrate[(a + b*Log[c*(d + e*x^(1/3))])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(1/3))])^p/x^2, x]");

}

// {(a + b*Log[c*(d + e*x^(1/3))^2])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(1/3))^2])^p/x, x]}
public void test01966() {
	check("Integrate[(a + b*Log[c*(d + e*x^(1/3))^2])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(1/3))^2])^p/x, x]");

}

// {(a + b*Log[c*(d + e*x^(1/3))^2])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(1/3))^2])^p/x^2, x]}
public void test01967() {
	check("Integrate[(a + b*Log[c*(d + e*x^(1/3))^2])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(1/3))^2])^p/x^2, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p/x, x]}
public void test01968() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p/x, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))])^p/x^3, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p/x^3, x]}
public void test01969() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))])^p/x^3, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p/x^3, x]");

}

// {x^2*(a + b*Log[c*(d + e*x^(2/3))])^p, x, 1, Unintegrable[x^2*(a + b*Log[c*(d + e*x^(2/3))])^p, x]}
public void test01970() {
	check("Integrate[x^2*(a + b*Log[c*(d + e*x^(2/3))])^p, x]", "Unintegrable[x^2*(a + b*Log[c*(d + e*x^(2/3))])^p, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p, x]}
public void test01971() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))])^p, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p/x^2, x]}
public void test01972() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))])^p/x^2, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))^2])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x, x]}
public void test01973() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^3, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^3, x]}
public void test01974() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^3, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^3, x]");

}

// {x^2*(a + b*Log[c*(d + e*x^(2/3))^2])^p, x, 1, Unintegrable[x^2*(a + b*Log[c*(d + e*x^(2/3))^2])^p, x]}
public void test01975() {
	check("Integrate[x^2*(a + b*Log[c*(d + e*x^(2/3))^2])^p, x]", "Unintegrable[x^2*(a + b*Log[c*(d + e*x^(2/3))^2])^p, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))^2])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p, x]}
public void test01976() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))^2])^p, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p, x]");

}

// {(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^2, x]}
public void test01977() {
	check("Integrate[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e*x^(2/3))^2])^p/x^2, x]");

}

// {x*(a + b*Log[c*(d + e/x^(1/3))])^p, x, 1, Unintegrable[x*(a + b*Log[c*(d + e/x^(1/3))])^p, x]}
public void test01978() {
	check("Integrate[x*(a + b*Log[c*(d + e/x^(1/3))])^p, x]", "Unintegrable[x*(a + b*Log[c*(d + e/x^(1/3))])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(1/3))])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(1/3))])^p, x]}
public void test01979() {
	check("Integrate[(a + b*Log[c*(d + e/x^(1/3))])^p, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(1/3))])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(1/3))])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(1/3))])^p/x, x]}
public void test01980() {
	check("Integrate[(a + b*Log[c*(d + e/x^(1/3))])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(1/3))])^p/x, x]");

}

// {x*(a + b*Log[c*(d + e/x^(1/3))^2])^p, x, 1, Unintegrable[x*(a + b*Log[c*(d + e/x^(1/3))^2])^p, x]}
public void test01981() {
	check("Integrate[x*(a + b*Log[c*(d + e/x^(1/3))^2])^p, x]", "Unintegrable[x*(a + b*Log[c*(d + e/x^(1/3))^2])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(1/3))^2])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(1/3))^2])^p, x]}
public void test01982() {
	check("Integrate[(a + b*Log[c*(d + e/x^(1/3))^2])^p, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(1/3))^2])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(1/3))^2])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(1/3))^2])^p/x, x]}
public void test01983() {
	check("Integrate[(a + b*Log[c*(d + e/x^(1/3))^2])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(1/3))^2])^p/x, x]");

}

// {x^3*(a + b*Log[c*(d + e/x^(2/3))])^p, x, 1, Unintegrable[x^3*(a + b*Log[c*(d + e/x^(2/3))])^p, x]}
public void test01984() {
	check("Integrate[x^3*(a + b*Log[c*(d + e/x^(2/3))])^p, x]", "Unintegrable[x^3*(a + b*Log[c*(d + e/x^(2/3))])^p, x]");

}

// {x^2*(a + b*Log[c*(d + e/x^(2/3))])^p, x, 1, Unintegrable[x^2*(a + b*Log[c*(d + e/x^(2/3))])^p, x]}
public void test01985() {
	check("Integrate[x^2*(a + b*Log[c*(d + e/x^(2/3))])^p, x]", "Unintegrable[x^2*(a + b*Log[c*(d + e/x^(2/3))])^p, x]");

}

// {x*(a + b*Log[c*(d + e/x^(2/3))])^p, x, 1, Unintegrable[x*(a + b*Log[c*(d + e/x^(2/3))])^p, x]}
public void test01986() {
	check("Integrate[x*(a + b*Log[c*(d + e/x^(2/3))])^p, x]", "Unintegrable[x*(a + b*Log[c*(d + e/x^(2/3))])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(2/3))])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(2/3))])^p, x]}
public void test01987() {
	check("Integrate[(a + b*Log[c*(d + e/x^(2/3))])^p, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(2/3))])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(2/3))])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(2/3))])^p/x, x]}
public void test01988() {
	check("Integrate[(a + b*Log[c*(d + e/x^(2/3))])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(2/3))])^p/x, x]");

}

// {(a + b*Log[c*(d + e/x^(2/3))])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(2/3))])^p/x^2, x]}
public void test01989() {
	check("Integrate[(a + b*Log[c*(d + e/x^(2/3))])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(2/3))])^p/x^2, x]");

}

// {x^3*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x, 1, Unintegrable[x^3*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]}
public void test01990() {
	check("Integrate[x^3*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]", "Unintegrable[x^3*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]");

}

// {x^2*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x, 1, Unintegrable[x^2*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]}
public void test01991() {
	check("Integrate[x^2*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]", "Unintegrable[x^2*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]");

}

// {x*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x, 1, Unintegrable[x*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]}
public void test01992() {
	check("Integrate[x*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]", "Unintegrable[x*(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(2/3))^2])^p, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]}
public void test01993() {
	check("Integrate[(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(2/3))^2])^p, x]");

}

// {(a + b*Log[c*(d + e/x^(2/3))^2])^p/x, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(2/3))^2])^p/x, x]}
public void test01994() {
	check("Integrate[(a + b*Log[c*(d + e/x^(2/3))^2])^p/x, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(2/3))^2])^p/x, x]");

}

// {(a + b*Log[c*(d + e/x^(2/3))^2])^p/x^2, x, 1, Unintegrable[(a + b*Log[c*(d + e/x^(2/3))^2])^p/x^2, x]}
public void test01995() {
	check("Integrate[(a + b*Log[c*(d + e/x^(2/3))^2])^p/x^2, x]", "Unintegrable[(a + b*Log[c*(d + e/x^(2/3))^2])^p/x^2, x]");

}

// {(a + b*Log[c*(d + e*x^m)^n])/(x*Log[f*x^p]^2), x, 1, -((a + b*Log[c*(d + e*x^m)^n])/(p*Log[f*x^p])) + (b*e*m*n*Unintegrable[x^(-1 + m)/((d + e*x^m)*Log[f*x^p]), x])/p}
public void test01996() {
	check("Integrate[(a + b*Log[c*(d + e*x^m)^n])/(x*Log[f*x^p]^2), x]", "-((a + b*Log[c*(d + e*x^m)^n])/(p*Log[f*x^p])) + (b*e*m*n*Unintegrable[x^(-1 + m)/((d + e*x^m)*Log[f*x^p]), x])/p");

}

// {(a + b*Log[c*(d + e*x^m)^n])/(x*Log[f*x^p]^3), x, 1, -(a + b*Log[c*(d + e*x^m)^n])/(2*p*Log[f*x^p]^2) + (b*e*m*n*Unintegrable[x^(-1 + m)/((d + e*x^m)*Log[f*x^p]^2), x])/(2*p)}
public void test01997() {
	check("Integrate[(a + b*Log[c*(d + e*x^m)^n])/(x*Log[f*x^p]^3), x]", "-(a + b*Log[c*(d + e*x^m)^n])/(2*p*Log[f*x^p]^2) + (b*e*m*n*Unintegrable[x^(-1 + m)/((d + e*x^m)*Log[f*x^p]^2), x])/(2*p)");

}

// {Log[1 + (a + b*x)^(-1)]/(a + b*x), x, 1, PolyLog[2, -(a + b*x)^(-1)]/b}
public void test01998() {
	check("Integrate[Log[1 + (a + b*x)^(-1)]/(a + b*x), x]", "PolyLog[2, -(a + b*x)^(-1)]/b");

}

// {Log[1 - (a + b*x)^(-1)]/(a + b*x), x, 1, PolyLog[2, (a + b*x)^(-1)]/b}
public void test01999() {
	check("Integrate[Log[1 - (a + b*x)^(-1)]/(a + b*x), x]", "PolyLog[2, (a + b*x)^(-1)]/b");

}

// {Log[e*((f*(a + b*x))/(c + d*x))^r]/((a + b*x)*(c + d*x)), x, 1, Log[e*((f*(a + b*x))/(c + d*x))^r]^2/(2*(b*c - a*d)*r)}
public void test02000() {
	check("Integrate[Log[e*((f*(a + b*x))/(c + d*x))^r]/((a + b*x)*(c + d*x)), x]", "Log[e*((f*(a + b*x))/(c + d*x))^r]^2/(2*(b*c - a*d)*r)");

}

// {Log[e*((a + b*x)/(c + d*x))^n]^p/((a + b*x)*(c + d*x)), x, 1, Log[e*((a + b*x)/(c + d*x))^n]^(1 + p)/((b*c - a*d)*n*(1 + p))}
public void test02001() {
	check("Integrate[Log[e*((a + b*x)/(c + d*x))^n]^p/((a + b*x)*(c + d*x)), x]", "Log[e*((a + b*x)/(c + d*x))^n]^(1 + p)/((b*c - a*d)*n*(1 + p))");

}

// {Log[e*((a + b*x)/(c + d*x))^n]^p/(a*c + (b*c + a*d)*x + b*d*x^2), x, 1, Log[e*((a + b*x)/(c + d*x))^n]^(1 + p)/((b*c - a*d)*n*(1 + p))}
public void test02002() {
	check("Integrate[Log[e*((a + b*x)/(c + d*x))^n]^p/(a*c + (b*c + a*d)*x + b*d*x^2), x]", "Log[e*((a + b*x)/(c + d*x))^n]^(1 + p)/((b*c - a*d)*n*(1 + p))");

}

// {Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^3/((a + b*x)*(c + d*x)), x, 1, Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^4/(4*(b*c - a*d)*n*n1)}
public void test02003() {
	check("Integrate[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^3/((a + b*x)*(c + d*x)), x]", "Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^4/(4*(b*c - a*d)*n*n1)");

}

// {Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2/((a + b*x)*(c + d*x)), x, 1, Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^3/(3*(b*c - a*d)*n*n1)}
public void test02004() {
	check("Integrate[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2/((a + b*x)*(c + d*x)), x]", "Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^3/(3*(b*c - a*d)*n*n1)");

}

// {Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]/((a + b*x)*(c + d*x)), x, 1, Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2/(2*(b*c - a*d)*n*n1)}
public void test02005() {
	check("Integrate[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]/((a + b*x)*(c + d*x)), x]", "Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2/(2*(b*c - a*d)*n*n1)");

}

// {1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x, 1, Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*n*n1)}
public void test02006() {
	check("Integrate[1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x]", "Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*n*n1)");

}

// {1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2), x, 1, -(1/((b*c - a*d)*n*n1*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]))}
public void test02007() {
	check("Integrate[1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2), x]", "-(1/((b*c - a*d)*n*n1*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]))");

}

// {1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^3), x, 1, -1/(2*(b*c - a*d)*n*n1*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2)}
public void test02008() {
	check("Integrate[1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^3), x]", "-1/(2*(b*c - a*d)*n*n1*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^2)");

}

// {Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^p/((a + b*x)*(c + d*x)), x, 1, Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^(1 + p)/((b*c - a*d)*n*n1*(1 + p))}
public void test02009() {
	check("Integrate[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^p/((a + b*x)*(c + d*x)), x]", "Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^(1 + p)/((b*c - a*d)*n*n1*(1 + p))");

}

// {Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^p/((a*f + b*f*x)*(c*g + d*g*x)), x, 1, Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^(1 + p)/((b*c - a*d)*f*g*n*n1*(1 + p))}
public void test02010() {
	check("Integrate[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^p/((a*f + b*f*x)*(c*g + d*g*x)), x]", "Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^(1 + p)/((b*c - a*d)*f*g*n*n1*(1 + p))");

}

// {Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^p/(a*c*f + (b*c + a*d)*f*x + b*d*f*x^2), x, 1, Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^(1 + p)/((b*c - a*d)*f*n*n1*(1 + p))}
public void test02011() {
	check("Integrate[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^p/(a*c*f + (b*c + a*d)*f*x + b*d*f*x^2), x]", "Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]^(1 + p)/((b*c - a*d)*f*n*n1*(1 + p))");

}

// {1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x, 1, Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*n*n1)}
public void test02012() {
	check("Integrate[1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x]", "Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*n*n1)");

}

// {1/((a*f + b*f*x)*(c*g + d*g*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x, 1, Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*f*g*n*n1)}
public void test02013() {
	check("Integrate[1/((a*f + b*f*x)*(c*g + d*g*x)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x]", "Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*f*g*n*n1)");

}

// {1/((a*c*f + (b*c + a*d)*f*x + b*d*f*x^2)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x, 1, Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*f*n*n1)}
public void test02014() {
	check("Integrate[1/((a*c*f + (b*c + a*d)*f*x + b*d*f*x^2)*Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]), x]", "Log[Log[e*((a + b*x)^n1/(c + d*x)^n1)^n]]/((b*c - a*d)*f*n*n1)");

}

// {Log[h*(f + g*x)^m]/((a + b*x)*(c + d*x)*Log[e*((a + b*x)/(c + d*x))^n]^2), x, 1, -(Log[h*(f + g*x)^m]/((b*c - a*d)*n*Log[e*((a + b*x)/(c + d*x))^n])) + (g*m*Unintegrable[1/((f + g*x)*Log[e*((a + b*x)/(c + d*x))^n]), x])/((b*c - a*d)*n)}
public void test02015() {
	check("Integrate[Log[h*(f + g*x)^m]/((a + b*x)*(c + d*x)*Log[e*((a + b*x)/(c + d*x))^n]^2), x]", "-(Log[h*(f + g*x)^m]/((b*c - a*d)*n*Log[e*((a + b*x)/(c + d*x))^n])) + (g*m*Unintegrable[1/((f + g*x)*Log[e*((a + b*x)/(c + d*x))^n]), x])/((b*c - a*d)*n)");

}

// {((a + b*x)^m*(c + d*x)^(-2 - m))/Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r], x, 1, ((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*ExpIntegralEi[((1 + m)*Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r])/(p*r)])/((b*c - a*d)*p*r*(e*((f*(a + b*x)^p)/(c + d*x)^p)^r)^((1 + m)/(p*r)))}
public void test02016() {
	check("Integrate[((a + b*x)^m*(c + d*x)^(-2 - m))/Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r], x]", "((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*ExpIntegralEi[((1 + m)*Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r])/(p*r)])/((b*c - a*d)*p*r*(e*((f*(a + b*x)^p)/(c + d*x)^p)^r)^((1 + m)/(p*r)))");

}

// {1/((a*h + b*h*x)^2*Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r]), x, 1, ((c + d*x)*(e*((f*(a + b*x)^p)/(c + d*x)^p)^r)^(1/(p*r))*ExpIntegralEi[-(Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r]/(p*r))])/((b*c - a*d)*h^2*p*r*(a + b*x))}
public void test02017() {
	check("Integrate[1/((a*h + b*h*x)^2*Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r]), x]", "((c + d*x)*(e*((f*(a + b*x)^p)/(c + d*x)^p)^r)^(1/(p*r))*ExpIntegralEi[-(Log[e*((f*(a + b*x)^p)/(c + d*x)^p)^r]/(p*r))])/((b*c - a*d)*h^2*p*r*(a + b*x))");

}

// {(a + b*x)^3/((c + d*x)^5*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((a + b*x)^4*ExpIntegralEi[(4*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(4/n)*(c + d*x)^4)}
public void test02018() {
	check("Integrate[(a + b*x)^3/((c + d*x)^5*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((a + b*x)^4*ExpIntegralEi[(4*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(4/n)*(c + d*x)^4)");

}

// {(a + b*x)^2/((c + d*x)^4*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((a + b*x)^3*ExpIntegralEi[(3*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(3/n)*(c + d*x)^3)}
public void test02019() {
	check("Integrate[(a + b*x)^2/((c + d*x)^4*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((a + b*x)^3*ExpIntegralEi[(3*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(3/n)*(c + d*x)^3)");

}

// {(a + b*x)/((c + d*x)^3*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((a + b*x)^2*ExpIntegralEi[(2*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(2/n)*(c + d*x)^2)}
public void test02020() {
	check("Integrate[(a + b*x)/((c + d*x)^3*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((a + b*x)^2*ExpIntegralEi[(2*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^(2/n)*(c + d*x)^2)");

}

// {1/((c + d*x)^2*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((a + b*x)*ExpIntegralEi[Log[e*((a + b*x)/(c + d*x))^n]/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^n^(-1)*(c + d*x))}
public void test02021() {
	check("Integrate[1/((c + d*x)^2*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((a + b*x)*ExpIntegralEi[Log[e*((a + b*x)/(c + d*x))^n]/n])/((b*c - a*d)*n*(e*((a + b*x)/(c + d*x))^n)^n^(-1)*(c + d*x))");

}

// {1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, Log[Log[e*((a + b*x)/(c + d*x))^n]]/((b*c - a*d)*n)}
public void test02022() {
	check("Integrate[1/((a + b*x)*(c + d*x)*Log[e*((a + b*x)/(c + d*x))^n]), x]", "Log[Log[e*((a + b*x)/(c + d*x))^n]]/((b*c - a*d)*n)");

}

// {1/((a + b*x)^2*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((e*((a + b*x)/(c + d*x))^n)^n^(-1)*(c + d*x)*ExpIntegralEi[-(Log[e*((a + b*x)/(c + d*x))^n]/n)])/((b*c - a*d)*n*(a + b*x))}
public void test02023() {
	check("Integrate[1/((a + b*x)^2*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((e*((a + b*x)/(c + d*x))^n)^n^(-1)*(c + d*x)*ExpIntegralEi[-(Log[e*((a + b*x)/(c + d*x))^n]/n)])/((b*c - a*d)*n*(a + b*x))");

}

// {(c + d*x)/((a + b*x)^3*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((e*((a + b*x)/(c + d*x))^n)^(2/n)*(c + d*x)^2*ExpIntegralEi[(-2*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(a + b*x)^2)}
public void test02024() {
	check("Integrate[(c + d*x)/((a + b*x)^3*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((e*((a + b*x)/(c + d*x))^n)^(2/n)*(c + d*x)^2*ExpIntegralEi[(-2*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(a + b*x)^2)");

}

// {(c + d*x)^2/((a + b*x)^4*Log[e*((a + b*x)/(c + d*x))^n]), x, 1, ((e*((a + b*x)/(c + d*x))^n)^(3/n)*(c + d*x)^3*ExpIntegralEi[(-3*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(a + b*x)^3)}
public void test02025() {
	check("Integrate[(c + d*x)^2/((a + b*x)^4*Log[e*((a + b*x)/(c + d*x))^n]), x]", "((e*((a + b*x)/(c + d*x))^n)^(3/n)*(c + d*x)^3*ExpIntegralEi[(-3*Log[e*((a + b*x)/(c + d*x))^n])/n])/((b*c - a*d)*n*(a + b*x)^3)");

}

// {Log[(c*x)/(a + b*x)]^2/(x*(a + b*x)), x, 1, Log[(c*x)/(a + b*x)]^3/(3*a)}
public void test02026() {
	check("Integrate[Log[(c*x)/(a + b*x)]^2/(x*(a + b*x)), x]", "Log[(c*x)/(a + b*x)]^3/(3*a)");

}

// {PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))]/((a + b*x)*(c + d*x)), x, 1, -(PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))]/(b*c - a*d))}
public void test02027() {
	check("Integrate[PolyLog[2, 1 + (b*c - a*d)/(d*(a + b*x))]/((a + b*x)*(c + d*x)), x]", "-(PolyLog[3, 1 + (b*c - a*d)/(d*(a + b*x))]/(b*c - a*d))");

}

// {Log[(2*x*(d*Sqrt[-(e/d)] + e*x))/(d + e*x^2)]/(d + e*x^2), x, 1, -(Sqrt[-(e/d)]*PolyLog[2, 1 - (2*x*(d*Sqrt[-(e/d)] + e*x))/(d + e*x^2)])/(2*e)}
public void test02028() {
	check("Integrate[Log[(2*x*(d*Sqrt[-(e/d)] + e*x))/(d + e*x^2)]/(d + e*x^2), x]", "-(Sqrt[-(e/d)]*PolyLog[2, 1 - (2*x*(d*Sqrt[-(e/d)] + e*x))/(d + e*x^2)])/(2*e)");

}

// {Log[(-2*x*(d*Sqrt[-(e/d)] - e*x))/(d + e*x^2)]/(d + e*x^2), x, 1, (Sqrt[-(e/d)]*PolyLog[2, 1 + (2*x*(d*Sqrt[-(e/d)] - e*x))/(d + e*x^2)])/(2*e)}
public void test02029() {
	check("Integrate[Log[(-2*x*(d*Sqrt[-(e/d)] - e*x))/(d + e*x^2)]/(d + e*x^2), x]", "(Sqrt[-(e/d)]*PolyLog[2, 1 + (2*x*(d*Sqrt[-(e/d)] - e*x))/(d + e*x^2)])/(2*e)");

}

// {Log[(2*x*((d*Sqrt[e])/Sqrt[-d] + e*x))/(d + e*x^2)]/(d + e*x^2), x, 1, -PolyLog[2, 1 + (2*Sqrt[e]*x*(Sqrt[-d] - Sqrt[e]*x))/(d + e*x^2)]/(2*Sqrt[-d]*Sqrt[e])}
public void test02030() {
	check("Integrate[Log[(2*x*((d*Sqrt[e])/Sqrt[-d] + e*x))/(d + e*x^2)]/(d + e*x^2), x]", "-PolyLog[2, 1 + (2*Sqrt[e]*x*(Sqrt[-d] - Sqrt[e]*x))/(d + e*x^2)]/(2*Sqrt[-d]*Sqrt[e])");

}

// {Log[(-2*x*((d*Sqrt[e])/Sqrt[-d] - e*x))/(d + e*x^2)]/(d + e*x^2), x, 1, PolyLog[2, 1 - (2*Sqrt[e]*x*(Sqrt[-d] + Sqrt[e]*x))/(d + e*x^2)]/(2*Sqrt[-d]*Sqrt[e])}
public void test02031() {
	check("Integrate[Log[(-2*x*((d*Sqrt[e])/Sqrt[-d] - e*x))/(d + e*x^2)]/(d + e*x^2), x]", "PolyLog[2, 1 - (2*Sqrt[e]*x*(Sqrt[-d] + Sqrt[e]*x))/(d + e*x^2)]/(2*Sqrt[-d]*Sqrt[e])");

}

// {Log[(2*x*(Sqrt[d]*Sqrt[-e] + e*x))/(d + e*x^2)]/(d + e*x^2), x, 1, PolyLog[2, 1 - (2*x*(Sqrt[d]*Sqrt[-e] + e*x))/(d + e*x^2)]/(2*Sqrt[d]*Sqrt[-e])}
public void test02032() {
	check("Integrate[Log[(2*x*(Sqrt[d]*Sqrt[-e] + e*x))/(d + e*x^2)]/(d + e*x^2), x]", "PolyLog[2, 1 - (2*x*(Sqrt[d]*Sqrt[-e] + e*x))/(d + e*x^2)]/(2*Sqrt[d]*Sqrt[-e])");

}

// {Log[(-2*x*(Sqrt[d]*Sqrt[-e] - e*x))/(d + e*x^2)]/(d + e*x^2), x, 1, -PolyLog[2, 1 + (2*x*(Sqrt[d]*Sqrt[-e] - e*x))/(d + e*x^2)]/(2*Sqrt[d]*Sqrt[-e])}
public void test02033() {
	check("Integrate[Log[(-2*x*(Sqrt[d]*Sqrt[-e] - e*x))/(d + e*x^2)]/(d + e*x^2), x]", "-PolyLog[2, 1 + (2*x*(Sqrt[d]*Sqrt[-e] - e*x))/(d + e*x^2)]/(2*Sqrt[d]*Sqrt[-e])");

}

// {(a + b*Log[c*Log[d*x^n]^p])/x, x, 1, -(b*p*Log[x]) + (Log[d*x^n]*(a + b*Log[c*Log[d*x^n]^p]))/n}
public void test02034() {
	check("Integrate[(a + b*Log[c*Log[d*x^n]^p])/x, x]", "-(b*p*Log[x]) + (Log[d*x^n]*(a + b*Log[c*Log[d*x^n]^p]))/n");

}

// {Log[c*Log[d*x]^p]/x, x, 1, -(p*Log[x]) + Log[d*x]*Log[c*Log[d*x]^p]}
public void test02035() {
	check("Integrate[Log[c*Log[d*x]^p]/x, x]", "-(p*Log[x]) + Log[d*x]*Log[c*Log[d*x]^p]");

}

// {Log[c*Log[d*x^n]^p]/x, x, 1, -(p*Log[x]) + (Log[d*x^n]*Log[c*Log[d*x^n]^p])/n}
public void test02036() {
	check("Integrate[Log[c*Log[d*x^n]^p]/x, x]", "-(p*Log[x]) + (Log[d*x^n]*Log[c*Log[d*x^n]^p])/n");

}

// {Log[-1 + 4*x + 4*Sqrt[(-1 + x)*x]]/x, x, 1, CannotIntegrate[Log[-1 + 4*x + 4*Sqrt[-x + x^2]]/x, x]}
public void test02037() {
	check("Integrate[Log[-1 + 4*x + 4*Sqrt[(-1 + x)*x]]/x, x]", "CannotIntegrate[Log[-1 + 4*x + 4*Sqrt[-x + x^2]]/x, x]");

}

// {Log[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, -Log[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(2*a)}
public void test02038() {
	check("Integrate[Log[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "-Log[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(2*a)");

}

// {Log[x]/Sqrt[x], x, 1, -4*Sqrt[x] + 2*Sqrt[x]*Log[x]}
public void test02039() {
	check("Integrate[Log[x]/Sqrt[x], x]", "-4*Sqrt[x] + 2*Sqrt[x]*Log[x]");

}

// {x^(1/3)*Log[x], x, 1, (-9*x^(4/3))/16 + (3*x^(4/3)*Log[x])/4}
public void test02040() {
	check("Integrate[x^(1/3)*Log[x], x]", "(-9*x^(4/3))/16 + (3*x^(4/3)*Log[x])/4");

}

// {(1 - Log[x])/x^2, x, 1, Log[x]/x}
public void test02041() {
	check("Integrate[(1 - Log[x])/x^2, x]", "Log[x]/x");

}

// {Log[x]/(-1 + x), x, 1, -PolyLog[2, 1 - x]}
public void test02042() {
	check("Integrate[Log[x]/(-1 + x), x]", "-PolyLog[2, 1 - x]");

}

// {Log[1 + (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, PolyLog[2, ((-I)*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/a}
public void test02043() {
	check("Integrate[Log[1 + (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "PolyLog[2, ((-I)*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/a");

}

// {Log[1 - (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, PolyLog[2, (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/a}
public void test02044() {
	check("Integrate[Log[1 - (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "PolyLog[2, (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]]/a");

}

// {Sin[a + b*x], x, 1, -(Cos[a + b*x]/b)}
public void test02045() {
	check("Integrate[Sin[a + b*x], x]", "-(Cos[a + b*x]/b)");

}

// {Sqrt[Sin[b*x]], x, 1, (-2*EllipticE[Pi/4 - (b*x)/2, 2])/b}
public void test02046() {
	check("Integrate[Sqrt[Sin[b*x]], x]", "(-2*EllipticE[Pi/4 - (b*x)/2, 2])/b");

}

// {1/Sqrt[Sin[b*x]], x, 1, (-2*EllipticF[Pi/4 - (b*x)/2, 2])/b}
public void test02047() {
	check("Integrate[1/Sqrt[Sin[b*x]], x]", "(-2*EllipticF[Pi/4 - (b*x)/2, 2])/b");

}

// {Sqrt[Sin[a + b*x]], x, 1, (2*EllipticE[(a - Pi/2 + b*x)/2, 2])/b}
public void test02048() {
	check("Integrate[Sqrt[Sin[a + b*x]], x]", "(2*EllipticE[(a - Pi/2 + b*x)/2, 2])/b");

}

// {1/Sqrt[Sin[a + b*x]], x, 1, (2*EllipticF[(a - Pi/2 + b*x)/2, 2])/b}
public void test02049() {
	check("Integrate[1/Sqrt[Sin[a + b*x]], x]", "(2*EllipticF[(a - Pi/2 + b*x)/2, 2])/b");

}

// {(c*Sin[a + b*x])^(4/3), x, 1, (3*Cos[a + b*x]*Hypergeometric2F1[1/2, 7/6, 13/6, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(7/3))/(7*b*c*Sqrt[Cos[a + b*x]^2])}
public void test02050() {
	check("Integrate[(c*Sin[a + b*x])^(4/3), x]", "(3*Cos[a + b*x]*Hypergeometric2F1[1/2, 7/6, 13/6, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(7/3))/(7*b*c*Sqrt[Cos[a + b*x]^2])");

}

// {(c*Sin[a + b*x])^(2/3), x, 1, (3*Cos[a + b*x]*Hypergeometric2F1[1/2, 5/6, 11/6, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(5/3))/(5*b*c*Sqrt[Cos[a + b*x]^2])}
public void test02051() {
	check("Integrate[(c*Sin[a + b*x])^(2/3), x]", "(3*Cos[a + b*x]*Hypergeometric2F1[1/2, 5/6, 11/6, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(5/3))/(5*b*c*Sqrt[Cos[a + b*x]^2])");

}

// {(c*Sin[a + b*x])^(-4/3), x, 1, (-3*Cos[a + b*x]*Hypergeometric2F1[-1/6, 1/2, 5/6, Sin[a + b*x]^2])/(b*c*Sqrt[Cos[a + b*x]^2]*(c*Sin[a + b*x])^(1/3))}
public void test02052() {
	check("Integrate[(c*Sin[a + b*x])^(-4/3), x]", "(-3*Cos[a + b*x]*Hypergeometric2F1[-1/6, 1/2, 5/6, Sin[a + b*x]^2])/(b*c*Sqrt[Cos[a + b*x]^2]*(c*Sin[a + b*x])^(1/3))");

}

// {Sin[a + b*x]^n, x, 1, (Cos[a + b*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sin[a + b*x]^(1 + n))/(b*(1 + n)*Sqrt[Cos[a + b*x]^2])}
public void test02053() {
	check("Integrate[Sin[a + b*x]^n, x]", "(Cos[a + b*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sin[a + b*x]^(1 + n))/(b*(1 + n)*Sqrt[Cos[a + b*x]^2])");

}

// {(c*Sin[a + b*x])^n, x, 1, (Cos[a + b*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + n))/(b*c*(1 + n)*Sqrt[Cos[a + b*x]^2])}
public void test02054() {
	check("Integrate[(c*Sin[a + b*x])^n, x]", "(Cos[a + b*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + n))/(b*c*(1 + n)*Sqrt[Cos[a + b*x]^2])");

}

// {Tan[a + b*x], x, 1, -(Log[Cos[a + b*x]]/b)}
public void test02055() {
	check("Integrate[Tan[a + b*x], x]", "-(Log[Cos[a + b*x]]/b)");

}

// {Cot[a + b*x], x, 1, Log[Sin[a + b*x]]/b}
public void test02056() {
	check("Integrate[Cot[a + b*x], x]", "Log[Sin[a + b*x]]/b");

}

// {Sqrt[c*Sin[a + b*x]]/(d*Cos[a + b*x])^(5/2), x, 1, (2*(c*Sin[a + b*x])^(3/2))/(3*b*c*d*(d*Cos[a + b*x])^(3/2))}
public void test02057() {
	check("Integrate[Sqrt[c*Sin[a + b*x]]/(d*Cos[a + b*x])^(5/2), x]", "(2*(c*Sin[a + b*x])^(3/2))/(3*b*c*d*(d*Cos[a + b*x])^(3/2))");

}

// {(c*Sin[a + b*x])^(3/2)/(d*Cos[a + b*x])^(7/2), x, 1, (2*(c*Sin[a + b*x])^(5/2))/(5*b*c*d*(d*Cos[a + b*x])^(5/2))}
public void test02058() {
	check("Integrate[(c*Sin[a + b*x])^(3/2)/(d*Cos[a + b*x])^(7/2), x]", "(2*(c*Sin[a + b*x])^(5/2))/(5*b*c*d*(d*Cos[a + b*x])^(5/2))");

}

// {(c*Sin[a + b*x])^(5/2)/(d*Cos[a + b*x])^(9/2), x, 1, (2*(c*Sin[a + b*x])^(7/2))/(7*b*c*d*(d*Cos[a + b*x])^(7/2))}
public void test02059() {
	check("Integrate[(c*Sin[a + b*x])^(5/2)/(d*Cos[a + b*x])^(9/2), x]", "(2*(c*Sin[a + b*x])^(7/2))/(7*b*c*d*(d*Cos[a + b*x])^(7/2))");

}

// {Sin[x]^(3/2)/Cos[x]^(7/2), x, 1, (2*Sin[x]^(5/2))/(5*Cos[x]^(5/2))}
public void test02060() {
	check("Integrate[Sin[x]^(3/2)/Cos[x]^(7/2), x]", "(2*Sin[x]^(5/2))/(5*Cos[x]^(5/2))");

}

// {1/((d*Cos[a + b*x])^(3/2)*Sqrt[c*Sin[a + b*x]]), x, 1, (2*Sqrt[c*Sin[a + b*x]])/(b*c*d*Sqrt[d*Cos[a + b*x]])}
public void test02061() {
	check("Integrate[1/((d*Cos[a + b*x])^(3/2)*Sqrt[c*Sin[a + b*x]]), x]", "(2*Sqrt[c*Sin[a + b*x]])/(b*c*d*Sqrt[d*Cos[a + b*x]])");

}

// {Cos[e + f*x]^4*(b*Sin[e + f*x])^(1/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[-3/2, 2/3, 5/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(4/3))/(4*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02062() {
	check("Integrate[Cos[e + f*x]^4*(b*Sin[e + f*x])^(1/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[-3/2, 2/3, 5/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(4/3))/(4*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {Cos[e + f*x]^2*(b*Sin[e + f*x])^(1/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[-1/2, 2/3, 5/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(4/3))/(4*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02063() {
	check("Integrate[Cos[e + f*x]^2*(b*Sin[e + f*x])^(1/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[-1/2, 2/3, 5/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(4/3))/(4*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {(b*Sin[e + f*x])^(1/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[1/2, 2/3, 5/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(4/3))/(4*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02064() {
	check("Integrate[(b*Sin[e + f*x])^(1/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[1/2, 2/3, 5/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(4/3))/(4*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {Sec[e + f*x]^2*(b*Sin[e + f*x])^(1/3), x, 1, (3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[2/3, 3/2, 5/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(4/3))/(4*b*f)}
public void test02065() {
	check("Integrate[Sec[e + f*x]^2*(b*Sin[e + f*x])^(1/3), x]", "(3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[2/3, 3/2, 5/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(4/3))/(4*b*f)");

}

// {Sec[e + f*x]^4*(b*Sin[e + f*x])^(1/3), x, 1, (3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[2/3, 5/2, 5/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(4/3))/(4*b*f)}
public void test02066() {
	check("Integrate[Sec[e + f*x]^4*(b*Sin[e + f*x])^(1/3), x]", "(3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[2/3, 5/2, 5/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(4/3))/(4*b*f)");

}

// {Cos[e + f*x]^4*(b*Sin[e + f*x])^(5/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[-3/2, 4/3, 7/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(8/3))/(8*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02067() {
	check("Integrate[Cos[e + f*x]^4*(b*Sin[e + f*x])^(5/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[-3/2, 4/3, 7/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(8/3))/(8*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {Cos[e + f*x]^2*(b*Sin[e + f*x])^(5/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[-1/2, 4/3, 7/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(8/3))/(8*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02068() {
	check("Integrate[Cos[e + f*x]^2*(b*Sin[e + f*x])^(5/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[-1/2, 4/3, 7/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(8/3))/(8*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {(b*Sin[e + f*x])^(5/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[1/2, 4/3, 7/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(8/3))/(8*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02069() {
	check("Integrate[(b*Sin[e + f*x])^(5/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[1/2, 4/3, 7/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(8/3))/(8*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {Sec[e + f*x]^2*(b*Sin[e + f*x])^(5/3), x, 1, (3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[4/3, 3/2, 7/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(8/3))/(8*b*f)}
public void test02070() {
	check("Integrate[Sec[e + f*x]^2*(b*Sin[e + f*x])^(5/3), x]", "(3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[4/3, 3/2, 7/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(8/3))/(8*b*f)");

}

// {Sec[e + f*x]^4*(b*Sin[e + f*x])^(5/3), x, 1, (3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[4/3, 5/2, 7/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(8/3))/(8*b*f)}
public void test02071() {
	check("Integrate[Sec[e + f*x]^4*(b*Sin[e + f*x])^(5/3), x]", "(3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[4/3, 5/2, 7/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(8/3))/(8*b*f)");

}

// {Cos[e + f*x]^4/(b*Sin[e + f*x])^(1/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[-3/2, 1/3, 4/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))/(2*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02072() {
	check("Integrate[Cos[e + f*x]^4/(b*Sin[e + f*x])^(1/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[-3/2, 1/3, 4/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))/(2*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {Cos[e + f*x]^2/(b*Sin[e + f*x])^(1/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[-1/2, 1/3, 4/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))/(2*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02073() {
	check("Integrate[Cos[e + f*x]^2/(b*Sin[e + f*x])^(1/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[-1/2, 1/3, 4/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))/(2*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {(b*Sin[e + f*x])^(-1/3), x, 1, (3*Cos[e + f*x]*Hypergeometric2F1[1/3, 1/2, 4/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))/(2*b*f*Sqrt[Cos[e + f*x]^2])}
public void test02074() {
	check("Integrate[(b*Sin[e + f*x])^(-1/3), x]", "(3*Cos[e + f*x]*Hypergeometric2F1[1/3, 1/2, 4/3, Sin[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))/(2*b*f*Sqrt[Cos[e + f*x]^2])");

}

// {Sec[e + f*x]^2/(b*Sin[e + f*x])^(1/3), x, 1, (3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[1/3, 3/2, 4/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(2/3))/(2*b*f)}
public void test02075() {
	check("Integrate[Sec[e + f*x]^2/(b*Sin[e + f*x])^(1/3), x]", "(3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[1/3, 3/2, 4/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(2/3))/(2*b*f)");

}

// {Sec[e + f*x]^4/(b*Sin[e + f*x])^(1/3), x, 1, (3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[1/3, 5/2, 4/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(2/3))/(2*b*f)}
public void test02076() {
	check("Integrate[Sec[e + f*x]^4/(b*Sin[e + f*x])^(1/3), x]", "(3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[1/3, 5/2, 4/3, Sin[e + f*x]^2]*Sec[e + f*x]*(b*Sin[e + f*x])^(2/3))/(2*b*f)");

}

// {Cos[e + f*x]^4/(b*Sin[e + f*x])^(5/3), x, 1, (-3*Cos[e + f*x]*Hypergeometric2F1[-3/2, -1/3, 2/3, Sin[e + f*x]^2])/(2*b*f*Sqrt[Cos[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))}
public void test02077() {
	check("Integrate[Cos[e + f*x]^4/(b*Sin[e + f*x])^(5/3), x]", "(-3*Cos[e + f*x]*Hypergeometric2F1[-3/2, -1/3, 2/3, Sin[e + f*x]^2])/(2*b*f*Sqrt[Cos[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))");

}

// {Cos[e + f*x]^2/(b*Sin[e + f*x])^(5/3), x, 1, (-3*Cos[e + f*x]*Hypergeometric2F1[-1/2, -1/3, 2/3, Sin[e + f*x]^2])/(2*b*f*Sqrt[Cos[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))}
public void test02078() {
	check("Integrate[Cos[e + f*x]^2/(b*Sin[e + f*x])^(5/3), x]", "(-3*Cos[e + f*x]*Hypergeometric2F1[-1/2, -1/3, 2/3, Sin[e + f*x]^2])/(2*b*f*Sqrt[Cos[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))");

}

// {(b*Sin[e + f*x])^(-5/3), x, 1, (-3*Cos[e + f*x]*Hypergeometric2F1[-1/3, 1/2, 2/3, Sin[e + f*x]^2])/(2*b*f*Sqrt[Cos[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))}
public void test02079() {
	check("Integrate[(b*Sin[e + f*x])^(-5/3), x]", "(-3*Cos[e + f*x]*Hypergeometric2F1[-1/3, 1/2, 2/3, Sin[e + f*x]^2])/(2*b*f*Sqrt[Cos[e + f*x]^2]*(b*Sin[e + f*x])^(2/3))");

}

// {Sec[e + f*x]^2/(b*Sin[e + f*x])^(5/3), x, 1, (-3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[-1/3, 3/2, 2/3, Sin[e + f*x]^2]*Sec[e + f*x])/(2*b*f*(b*Sin[e + f*x])^(2/3))}
public void test02080() {
	check("Integrate[Sec[e + f*x]^2/(b*Sin[e + f*x])^(5/3), x]", "(-3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[-1/3, 3/2, 2/3, Sin[e + f*x]^2]*Sec[e + f*x])/(2*b*f*(b*Sin[e + f*x])^(2/3))");

}

// {Sec[e + f*x]^4/(b*Sin[e + f*x])^(5/3), x, 1, (-3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[-1/3, 5/2, 2/3, Sin[e + f*x]^2]*Sec[e + f*x])/(2*b*f*(b*Sin[e + f*x])^(2/3))}
public void test02081() {
	check("Integrate[Sec[e + f*x]^4/(b*Sin[e + f*x])^(5/3), x]", "(-3*Sqrt[Cos[e + f*x]^2]*Hypergeometric2F1[-1/3, 5/2, 2/3, Sin[e + f*x]^2]*Sec[e + f*x])/(2*b*f*(b*Sin[e + f*x])^(2/3))");

}

// {Cos[x]^(2/3)/Sin[x]^(8/3), x, 1, (-3*Cos[x]^(5/3))/(5*Sin[x]^(5/3))}
public void test02082() {
	check("Integrate[Cos[x]^(2/3)/Sin[x]^(8/3), x]", "(-3*Cos[x]^(5/3))/(5*Sin[x]^(5/3))");

}

// {Sin[x]^(2/3)/Cos[x]^(8/3), x, 1, (3*Sin[x]^(5/3))/(5*Cos[x]^(5/3))}
public void test02083() {
	check("Integrate[Sin[x]^(2/3)/Cos[x]^(8/3), x]", "(3*Sin[x]^(5/3))/(5*Cos[x]^(5/3))");

}

// {Cos[e + f*x]^n*Sin[e + f*x]^m, x, 1, -((Cos[e + f*x]^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(f*(1 + n)))}
public void test02084() {
	check("Integrate[Cos[e + f*x]^n*Sin[e + f*x]^m, x]", "-((Cos[e + f*x]^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(f*(1 + n)))");

}

// {(d*Cos[e + f*x])^n*Sin[e + f*x]^m, x, 1, -(((d*Cos[e + f*x])^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(d*f*(1 + n)))}
public void test02085() {
	check("Integrate[(d*Cos[e + f*x])^n*Sin[e + f*x]^m, x]", "-(((d*Cos[e + f*x])^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(d*f*(1 + n)))");

}

// {Cos[e + f*x]^n*(b*Sin[e + f*x])^m, x, 1, -((b*Cos[e + f*x]^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(b*Sin[e + f*x])^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(f*(1 + n)))}
public void test02086() {
	check("Integrate[Cos[e + f*x]^n*(b*Sin[e + f*x])^m, x]", "-((b*Cos[e + f*x]^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(b*Sin[e + f*x])^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(f*(1 + n)))");

}

// {(d*Cos[e + f*x])^n*(b*Sin[e + f*x])^m, x, 1, -((b*(d*Cos[e + f*x])^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(b*Sin[e + f*x])^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(d*f*(1 + n)))}
public void test02087() {
	check("Integrate[(d*Cos[e + f*x])^n*(b*Sin[e + f*x])^m, x]", "-((b*(d*Cos[e + f*x])^(1 + n)*Hypergeometric2F1[(1 - m)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(b*Sin[e + f*x])^(-1 + m)*(Sin[e + f*x]^2)^((1 - m)/2))/(d*f*(1 + n)))");

}

// {Cos[a + b*x]^4*(c*Sin[a + b*x])^m, x, 1, (Cos[a + b*x]*Hypergeometric2F1[-3/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[Cos[a + b*x]^2])}
public void test02088() {
	check("Integrate[Cos[a + b*x]^4*(c*Sin[a + b*x])^m, x]", "(Cos[a + b*x]*Hypergeometric2F1[-3/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[Cos[a + b*x]^2])");

}

// {Cos[a + b*x]^2*(c*Sin[a + b*x])^m, x, 1, (Cos[a + b*x]*Hypergeometric2F1[-1/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[Cos[a + b*x]^2])}
public void test02089() {
	check("Integrate[Cos[a + b*x]^2*(c*Sin[a + b*x])^m, x]", "(Cos[a + b*x]*Hypergeometric2F1[-1/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[Cos[a + b*x]^2])");

}

// {(c*Sin[a + b*x])^m, x, 1, (Cos[a + b*x]*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[Cos[a + b*x]^2])}
public void test02090() {
	check("Integrate[(c*Sin[a + b*x])^m, x]", "(Cos[a + b*x]*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[Cos[a + b*x]^2])");

}

// {Sec[a + b*x]^2*(c*Sin[a + b*x])^m, x, 1, (Sqrt[Cos[a + b*x]^2]*Hypergeometric2F1[3/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*Sec[a + b*x]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m))}
public void test02091() {
	check("Integrate[Sec[a + b*x]^2*(c*Sin[a + b*x])^m, x]", "(Sqrt[Cos[a + b*x]^2]*Hypergeometric2F1[3/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*Sec[a + b*x]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m))");

}

// {Sec[a + b*x]^4*(c*Sin[a + b*x])^m, x, 1, (Sqrt[Cos[a + b*x]^2]*Hypergeometric2F1[5/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*Sec[a + b*x]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m))}
public void test02092() {
	check("Integrate[Sec[a + b*x]^4*(c*Sin[a + b*x])^m, x]", "(Sqrt[Cos[a + b*x]^2]*Hypergeometric2F1[5/2, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*Sec[a + b*x]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m))");

}

// {(d*Cos[a + b*x])^(3/2)*(c*Sin[a + b*x])^m, x, 1, (d*Sqrt[d*Cos[a + b*x]]*Hypergeometric2F1[-1/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*(Cos[a + b*x]^2)^(1/4))}
public void test02093() {
	check("Integrate[(d*Cos[a + b*x])^(3/2)*(c*Sin[a + b*x])^m, x]", "(d*Sqrt[d*Cos[a + b*x]]*Hypergeometric2F1[-1/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*(Cos[a + b*x]^2)^(1/4))");

}

// {Sqrt[d*Cos[a + b*x]]*(c*Sin[a + b*x])^m, x, 1, (d*(Cos[a + b*x]^2)^(1/4)*Hypergeometric2F1[1/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[d*Cos[a + b*x]])}
public void test02094() {
	check("Integrate[Sqrt[d*Cos[a + b*x]]*(c*Sin[a + b*x])^m, x]", "(d*(Cos[a + b*x]^2)^(1/4)*Hypergeometric2F1[1/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*Sqrt[d*Cos[a + b*x]])");

}

// {(c*Sin[a + b*x])^m/Sqrt[d*Cos[a + b*x]], x, 1, (d*(Cos[a + b*x]^2)^(3/4)*Hypergeometric2F1[3/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*(d*Cos[a + b*x])^(3/2))}
public void test02095() {
	check("Integrate[(c*Sin[a + b*x])^m/Sqrt[d*Cos[a + b*x]], x]", "(d*(Cos[a + b*x]^2)^(3/4)*Hypergeometric2F1[3/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*(1 + m)*(d*Cos[a + b*x])^(3/2))");

}

// {(c*Sin[a + b*x])^m/(d*Cos[a + b*x])^(3/2), x, 1, ((Cos[a + b*x]^2)^(1/4)*Hypergeometric2F1[5/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*d*(1 + m)*Sqrt[d*Cos[a + b*x]])}
public void test02096() {
	check("Integrate[(c*Sin[a + b*x])^m/(d*Cos[a + b*x])^(3/2), x]", "((Cos[a + b*x]^2)^(1/4)*Hypergeometric2F1[5/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*d*(1 + m)*Sqrt[d*Cos[a + b*x]])");

}

// {(c*Sin[a + b*x])^m/(d*Cos[a + b*x])^(5/2), x, 1, ((Cos[a + b*x]^2)^(3/4)*Hypergeometric2F1[7/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*d*(1 + m)*(d*Cos[a + b*x])^(3/2))}
public void test02097() {
	check("Integrate[(c*Sin[a + b*x])^m/(d*Cos[a + b*x])^(5/2), x]", "((Cos[a + b*x]^2)^(3/4)*Hypergeometric2F1[7/4, (1 + m)/2, (3 + m)/2, Sin[a + b*x]^2]*(c*Sin[a + b*x])^(1 + m))/(b*c*d*(1 + m)*(d*Cos[a + b*x])^(3/2))");

}

// {(d*Cos[a + b*x])^n*Sin[a + b*x]^4, x, 1, -(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-3/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*d*(1 + n)*Sqrt[Sin[a + b*x]^2]))}
public void test02098() {
	check("Integrate[(d*Cos[a + b*x])^n*Sin[a + b*x]^4, x]", "-(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-3/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*d*(1 + n)*Sqrt[Sin[a + b*x]^2]))");

}

// {(d*Cos[a + b*x])^n*Sin[a + b*x]^2, x, 1, -(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*d*(1 + n)*Sqrt[Sin[a + b*x]^2]))}
public void test02099() {
	check("Integrate[(d*Cos[a + b*x])^n*Sin[a + b*x]^2, x]", "-(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*d*(1 + n)*Sqrt[Sin[a + b*x]^2]))");

}

// {(d*Cos[a + b*x])^n, x, 1, -(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*d*(1 + n)*Sqrt[Sin[a + b*x]^2]))}
public void test02100() {
	check("Integrate[(d*Cos[a + b*x])^n, x]", "-(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*d*(1 + n)*Sqrt[Sin[a + b*x]^2]))");

}

// {(d*Cos[a + b*x])^n*Csc[a + b*x]^2, x, 1, -(((d*Cos[a + b*x])^(1 + n)*Csc[a + b*x]*Hypergeometric2F1[3/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sqrt[Sin[a + b*x]^2])/(b*d*(1 + n)))}
public void test02101() {
	check("Integrate[(d*Cos[a + b*x])^n*Csc[a + b*x]^2, x]", "-(((d*Cos[a + b*x])^(1 + n)*Csc[a + b*x]*Hypergeometric2F1[3/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sqrt[Sin[a + b*x]^2])/(b*d*(1 + n)))");

}

// {(d*Cos[a + b*x])^n*Csc[a + b*x]^4, x, 1, -(((d*Cos[a + b*x])^(1 + n)*Csc[a + b*x]*Hypergeometric2F1[5/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sqrt[Sin[a + b*x]^2])/(b*d*(1 + n)))}
public void test02102() {
	check("Integrate[(d*Cos[a + b*x])^n*Csc[a + b*x]^4, x]", "-(((d*Cos[a + b*x])^(1 + n)*Csc[a + b*x]*Hypergeometric2F1[5/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sqrt[Sin[a + b*x]^2])/(b*d*(1 + n)))");

}

// {(d*Cos[a + b*x])^n*(c*Sin[a + b*x])^(5/2), x, 1, -((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-3/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(c*Sin[a + b*x])^(3/2))/(b*d*(1 + n)*(Sin[a + b*x]^2)^(3/4)))}
public void test02103() {
	check("Integrate[(d*Cos[a + b*x])^n*(c*Sin[a + b*x])^(5/2), x]", "-((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-3/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(c*Sin[a + b*x])^(3/2))/(b*d*(1 + n)*(Sin[a + b*x]^2)^(3/4)))");

}

// {(d*Cos[a + b*x])^n*(c*Sin[a + b*x])^(3/2), x, 1, -((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-1/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sqrt[c*Sin[a + b*x]])/(b*d*(1 + n)*(Sin[a + b*x]^2)^(1/4)))}
public void test02104() {
	check("Integrate[(d*Cos[a + b*x])^n*(c*Sin[a + b*x])^(3/2), x]", "-((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[-1/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sqrt[c*Sin[a + b*x]])/(b*d*(1 + n)*(Sin[a + b*x]^2)^(1/4)))");

}

// {(d*Cos[a + b*x])^n*Sqrt[c*Sin[a + b*x]], x, 1, -((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[1/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(Sin[a + b*x]^2)^(1/4))/(b*d*(1 + n)*Sqrt[c*Sin[a + b*x]]))}
public void test02105() {
	check("Integrate[(d*Cos[a + b*x])^n*Sqrt[c*Sin[a + b*x]], x]", "-((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[1/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(Sin[a + b*x]^2)^(1/4))/(b*d*(1 + n)*Sqrt[c*Sin[a + b*x]]))");

}

// {(d*Cos[a + b*x])^n/Sqrt[c*Sin[a + b*x]], x, 1, -((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[3/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(Sin[a + b*x]^2)^(3/4))/(b*d*(1 + n)*(c*Sin[a + b*x])^(3/2)))}
public void test02106() {
	check("Integrate[(d*Cos[a + b*x])^n/Sqrt[c*Sin[a + b*x]], x]", "-((c*(d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[3/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(Sin[a + b*x]^2)^(3/4))/(b*d*(1 + n)*(c*Sin[a + b*x])^(3/2)))");

}

// {(d*Cos[a + b*x])^n/(c*Sin[a + b*x])^(3/2), x, 1, -(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[5/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(Sin[a + b*x]^2)^(1/4))/(b*c*d*(1 + n)*Sqrt[c*Sin[a + b*x]]))}
public void test02107() {
	check("Integrate[(d*Cos[a + b*x])^n/(c*Sin[a + b*x])^(3/2), x]", "-(((d*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[5/4, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*(Sin[a + b*x]^2)^(1/4))/(b*c*d*(1 + n)*Sqrt[c*Sin[a + b*x]]))");

}

// {Sqrt[b*Sec[e + f*x]]/(a*Sin[e + f*x])^(3/2), x, 1, (-2*b)/(a*f*Sqrt[b*Sec[e + f*x]]*Sqrt[a*Sin[e + f*x]])}
public void test02108() {
	check("Integrate[Sqrt[b*Sec[e + f*x]]/(a*Sin[e + f*x])^(3/2), x]", "(-2*b)/(a*f*Sqrt[b*Sec[e + f*x]]*Sqrt[a*Sin[e + f*x]])");

}

// {1/(Sqrt[b*Sec[e + f*x]]*Sin[e + f*x]^(5/2)), x, 1, (-2*b)/(3*f*(b*Sec[e + f*x])^(3/2)*Sin[e + f*x]^(3/2))}
public void test02109() {
	check("Integrate[1/(Sqrt[b*Sec[e + f*x]]*Sin[e + f*x]^(5/2)), x]", "(-2*b)/(3*f*(b*Sec[e + f*x])^(3/2)*Sin[e + f*x]^(3/2))");

}

// {1/((b*Sec[e + f*x])^(3/2)*(a*Sin[e + f*x])^(7/2)), x, 1, (-2*b)/(5*a*f*(b*Sec[e + f*x])^(5/2)*(a*Sin[e + f*x])^(5/2))}
public void test02110() {
	check("Integrate[1/((b*Sec[e + f*x])^(3/2)*(a*Sin[e + f*x])^(7/2)), x]", "(-2*b)/(5*a*f*(b*Sec[e + f*x])^(5/2)*(a*Sin[e + f*x])^(5/2))");

}

// {Sqrt[a + a*Sin[c + d*x]], x, 1, (-2*a*Cos[c + d*x])/(d*Sqrt[a + a*Sin[c + d*x]])}
public void test02111() {
	check("Integrate[Sqrt[a + a*Sin[c + d*x]], x]", "(-2*a*Cos[c + d*x])/(d*Sqrt[a + a*Sin[c + d*x]])");

}

// {(2 + 2*Sin[c + d*x])^n, x, 1, -((2^(1/2 + 2*n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 - Sin[c + d*x])/2])/(d*Sqrt[1 + Sin[c + d*x]]))}
public void test02112() {
	check("Integrate[(2 + 2*Sin[c + d*x])^n, x]", "-((2^(1/2 + 2*n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 - Sin[c + d*x])/2])/(d*Sqrt[1 + Sin[c + d*x]]))");

}

// {(2 - 2*Sin[c + d*x])^n, x, 1, (2^(1/2 + 2*n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 + Sin[c + d*x])/2])/(d*Sqrt[1 - Sin[c + d*x]])}
public void test02113() {
	check("Integrate[(2 - 2*Sin[c + d*x])^n, x]", "(2^(1/2 + 2*n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 + Sin[c + d*x])/2])/(d*Sqrt[1 - Sin[c + d*x]])");

}

// {(5 + 3*Sin[c + d*x])^(-1), x, 1, x/4 + ArcTan[Cos[c + d*x]/(3 + Sin[c + d*x])]/(2*d)}
public void test02114() {
	check("Integrate[(5 + 3*Sin[c + d*x])^(-1), x]", "x/4 + ArcTan[Cos[c + d*x]/(3 + Sin[c + d*x])]/(2*d)");

}

// {(5 - 3*Sin[c + d*x])^(-1), x, 1, x/4 - ArcTan[Cos[c + d*x]/(3 - Sin[c + d*x])]/(2*d)}
public void test02115() {
	check("Integrate[(5 - 3*Sin[c + d*x])^(-1), x]", "x/4 - ArcTan[Cos[c + d*x]/(3 - Sin[c + d*x])]/(2*d)");

}

// {(-5 + 3*Sin[c + d*x])^(-1), x, 1, -x/4 + ArcTan[Cos[c + d*x]/(3 - Sin[c + d*x])]/(2*d)}
public void test02116() {
	check("Integrate[(-5 + 3*Sin[c + d*x])^(-1), x]", "-x/4 + ArcTan[Cos[c + d*x]/(3 - Sin[c + d*x])]/(2*d)");

}

// {(-5 - 3*Sin[c + d*x])^(-1), x, 1, -x/4 - ArcTan[Cos[c + d*x]/(3 + Sin[c + d*x])]/(2*d)}
public void test02117() {
	check("Integrate[(-5 - 3*Sin[c + d*x])^(-1), x]", "-x/4 - ArcTan[Cos[c + d*x]/(3 + Sin[c + d*x])]/(2*d)");

}

// {(e*x)^(-1 + 2*n)*(b*Sin[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Sin[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02118() {
	check("Integrate[(e*x)^(-1 + 2*n)*(b*Sin[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Sin[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {(e*x)^(-1 + 2*n)*(a + b*Sin[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Sin[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02119() {
	check("Integrate[(e*x)^(-1 + 2*n)*(a + b*Sin[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Sin[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {Sin[b*(c + d*x)^2], x, 1, (Sqrt[Pi/2]*FresnelS[Sqrt[b]*Sqrt[2/Pi]*(c + d*x)])/(Sqrt[b]*d)}
public void test02120() {
	check("Integrate[Sin[b*(c + d*x)^2], x]", "(Sqrt[Pi/2]*FresnelS[Sqrt[b]*Sqrt[2/Pi]*(c + d*x)])/(Sqrt[b]*d)");

}

// {Cos[c + d*x]^2/(a + a*Sin[c + d*x])^3, x, 1, -Cos[c + d*x]^3/(3*d*(a + a*Sin[c + d*x])^3)}
public void test02121() {
	check("Integrate[Cos[c + d*x]^2/(a + a*Sin[c + d*x])^3, x]", "-Cos[c + d*x]^3/(3*d*(a + a*Sin[c + d*x])^3)");

}

// {Sec[c + d*x]^2*(a + a*Sin[c + d*x])^(3/2), x, 1, (2*a*Sec[c + d*x]*Sqrt[a + a*Sin[c + d*x]])/d}
public void test02122() {
	check("Integrate[Sec[c + d*x]^2*(a + a*Sin[c + d*x])^(3/2), x]", "(2*a*Sec[c + d*x]*Sqrt[a + a*Sin[c + d*x]])/d");

}

// {Sec[c + d*x]^4*(a + a*Sin[c + d*x])^(5/2), x, 1, (2*a*Sec[c + d*x]^3*(a + a*Sin[c + d*x])^(3/2))/(3*d)}
public void test02123() {
	check("Integrate[Sec[c + d*x]^4*(a + a*Sin[c + d*x])^(5/2), x]", "(2*a*Sec[c + d*x]^3*(a + a*Sin[c + d*x])^(3/2))/(3*d)");

}

// {Sec[c + d*x]^6*(a + a*Sin[c + d*x])^(7/2), x, 1, (2*a*Sec[c + d*x]^5*(a + a*Sin[c + d*x])^(5/2))/(5*d)}
public void test02124() {
	check("Integrate[Sec[c + d*x]^6*(a + a*Sin[c + d*x])^(7/2), x]", "(2*a*Sec[c + d*x]^5*(a + a*Sin[c + d*x])^(5/2))/(5*d)");

}

// {Cos[c + d*x]^2/Sqrt[a + a*Sin[c + d*x]], x, 1, (-2*a*Cos[c + d*x]^3)/(3*d*(a + a*Sin[c + d*x])^(3/2))}
public void test02125() {
	check("Integrate[Cos[c + d*x]^2/Sqrt[a + a*Sin[c + d*x]], x]", "(-2*a*Cos[c + d*x]^3)/(3*d*(a + a*Sin[c + d*x])^(3/2))");

}

// {Cos[c + d*x]^4/(a + a*Sin[c + d*x])^(3/2), x, 1, (-2*a*Cos[c + d*x]^5)/(5*d*(a + a*Sin[c + d*x])^(5/2))}
public void test02126() {
	check("Integrate[Cos[c + d*x]^4/(a + a*Sin[c + d*x])^(3/2), x]", "(-2*a*Cos[c + d*x]^5)/(5*d*(a + a*Sin[c + d*x])^(5/2))");

}

// {Cos[c + d*x]^6/(a + a*Sin[c + d*x])^(5/2), x, 1, (-2*a*Cos[c + d*x]^7)/(7*d*(a + a*Sin[c + d*x])^(7/2))}
public void test02127() {
	check("Integrate[Cos[c + d*x]^6/(a + a*Sin[c + d*x])^(5/2), x]", "(-2*a*Cos[c + d*x]^7)/(7*d*(a + a*Sin[c + d*x])^(7/2))");

}

// {Sqrt[a + a*Sin[c + d*x]]/(e*Cos[c + d*x])^(3/2), x, 1, (2*Sqrt[a + a*Sin[c + d*x]])/(d*e*Sqrt[e*Cos[c + d*x]])}
public void test02128() {
	check("Integrate[Sqrt[a + a*Sin[c + d*x]]/(e*Cos[c + d*x])^(3/2), x]", "(2*Sqrt[a + a*Sin[c + d*x]])/(d*e*Sqrt[e*Cos[c + d*x]])");

}

// {(a + a*Sin[c + d*x])^(3/2)/(e*Cos[c + d*x])^(5/2), x, 1, (2*(a + a*Sin[c + d*x])^(3/2))/(3*d*e*(e*Cos[c + d*x])^(3/2))}
public void test02129() {
	check("Integrate[(a + a*Sin[c + d*x])^(3/2)/(e*Cos[c + d*x])^(5/2), x]", "(2*(a + a*Sin[c + d*x])^(3/2))/(3*d*e*(e*Cos[c + d*x])^(3/2))");

}

// {(a + a*Sin[c + d*x])^(5/2)/(e*Cos[c + d*x])^(7/2), x, 1, (2*(a + a*Sin[c + d*x])^(5/2))/(5*d*e*(e*Cos[c + d*x])^(5/2))}
public void test02130() {
	check("Integrate[(a + a*Sin[c + d*x])^(5/2)/(e*Cos[c + d*x])^(7/2), x]", "(2*(a + a*Sin[c + d*x])^(5/2))/(5*d*e*(e*Cos[c + d*x])^(5/2))");

}

// {1/(Sqrt[e*Cos[c + d*x]]*Sqrt[a + a*Sin[c + d*x]]), x, 1, (-2*Sqrt[e*Cos[c + d*x]])/(d*e*Sqrt[a + a*Sin[c + d*x]])}
public void test02131() {
	check("Integrate[1/(Sqrt[e*Cos[c + d*x]]*Sqrt[a + a*Sin[c + d*x]]), x]", "(-2*Sqrt[e*Cos[c + d*x]])/(d*e*Sqrt[a + a*Sin[c + d*x]])");

}

// {Sqrt[e*Cos[c + d*x]]/(a + a*Sin[c + d*x])^(3/2), x, 1, (-2*(e*Cos[c + d*x])^(3/2))/(3*d*e*(a + a*Sin[c + d*x])^(3/2))}
public void test02132() {
	check("Integrate[Sqrt[e*Cos[c + d*x]]/(a + a*Sin[c + d*x])^(3/2), x]", "(-2*(e*Cos[c + d*x])^(3/2))/(3*d*e*(a + a*Sin[c + d*x])^(3/2))");

}

// {(e*Cos[c + d*x])^(3/2)/(a + a*Sin[c + d*x])^(5/2), x, 1, (-2*(e*Cos[c + d*x])^(5/2))/(5*d*e*(a + a*Sin[c + d*x])^(5/2))}
public void test02133() {
	check("Integrate[(e*Cos[c + d*x])^(3/2)/(a + a*Sin[c + d*x])^(5/2), x]", "(-2*(e*Cos[c + d*x])^(5/2))/(5*d*e*(a + a*Sin[c + d*x])^(5/2))");

}

// {(e*Cos[c + d*x])^(-1 - m)*(a + a*Sin[c + d*x])^m, x, 1, (a + a*Sin[c + d*x])^m/(d*e*m*(e*Cos[c + d*x])^m)}
public void test02134() {
	check("Integrate[(e*Cos[c + d*x])^(-1 - m)*(a + a*Sin[c + d*x])^m, x]", "(a + a*Sin[c + d*x])^m/(d*e*m*(e*Cos[c + d*x])^m)");

}

// {(e*Cos[c + d*x])^(1 - 2*m)*(a + a*Sin[c + d*x])^m, x, 1, -((a*(e*Cos[c + d*x])^(2 - 2*m)*(a + a*Sin[c + d*x])^(-1 + m))/(d*e*(1 - m)))}
public void test02135() {
	check("Integrate[(e*Cos[c + d*x])^(1 - 2*m)*(a + a*Sin[c + d*x])^m, x]", "-((a*(e*Cos[c + d*x])^(2 - 2*m)*(a + a*Sin[c + d*x])^(-1 + m))/(d*e*(1 - m)))");

}

// {(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x]), x, 1, -((e*AppellF1[1 - p, (1 - p)/2, (1 - p)/2, 2 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(1 - p)))}
public void test02136() {
	check("Integrate[(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x]), x]", "-((e*AppellF1[1 - p, (1 - p)/2, (1 - p)/2, 2 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(1 - p)))");

}

// {(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x])^2, x, 1, -((e*AppellF1[2 - p, (1 - p)/2, (1 - p)/2, 3 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(2 - p)*(a + b*Sin[c + d*x])))}
public void test02137() {
	check("Integrate[(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x])^2, x]", "-((e*AppellF1[2 - p, (1 - p)/2, (1 - p)/2, 3 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(2 - p)*(a + b*Sin[c + d*x])))");

}

// {(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x])^3, x, 1, -((e*AppellF1[3 - p, (1 - p)/2, (1 - p)/2, 4 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(3 - p)*(a + b*Sin[c + d*x])^2))}
public void test02138() {
	check("Integrate[(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x])^3, x]", "-((e*AppellF1[3 - p, (1 - p)/2, (1 - p)/2, 4 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(3 - p)*(a + b*Sin[c + d*x])^2))");

}

// {(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x])^8, x, 1, -((e*AppellF1[8 - p, (1 - p)/2, (1 - p)/2, 9 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(8 - p)*(a + b*Sin[c + d*x])^7))}
public void test02139() {
	check("Integrate[(e*Cos[c + d*x])^p/(a + b*Sin[c + d*x])^8, x]", "-((e*AppellF1[8 - p, (1 - p)/2, (1 - p)/2, 9 - p, (a + b)/(a + b*Sin[c + d*x]), (a - b)/(a + b*Sin[c + d*x])]*(e*Cos[c + d*x])^(-1 + p)*(-((b*(1 - Sin[c + d*x]))/(a + b*Sin[c + d*x])))^((1 - p)/2)*((b*(1 + Sin[c + d*x]))/(a + b*Sin[c + d*x]))^((1 - p)/2))/(b*d*(8 - p)*(a + b*Sin[c + d*x])^7))");

}

// {(e*Cos[c + d*x])^(-1 - m)*(a + b*Sin[c + d*x])^m, x, 1, (e*(e*Cos[c + d*x])^(-2 - m)*Hypergeometric2F1[1 + m, (2 + m)/2, 2 + m, (2*(a + b*Sin[c + d*x]))/((a + b)*(1 + Sin[c + d*x]))]*(1 - Sin[c + d*x])*(-(((a - b)*(1 - Sin[c + d*x]))/((a + b)*(1 + Sin[c + d*x]))))^(m/2)*(a + b*Sin[c + d*x])^(1 + m))/((a + b)*d*(1 + m))}
public void test02140() {
	check("Integrate[(e*Cos[c + d*x])^(-1 - m)*(a + b*Sin[c + d*x])^m, x]", "(e*(e*Cos[c + d*x])^(-2 - m)*Hypergeometric2F1[1 + m, (2 + m)/2, 2 + m, (2*(a + b*Sin[c + d*x]))/((a + b)*(1 + Sin[c + d*x]))]*(1 - Sin[c + d*x])*(-(((a - b)*(1 - Sin[c + d*x]))/((a + b)*(1 + Sin[c + d*x]))))^(m/2)*(a + b*Sin[c + d*x])^(1 + m))/((a + b)*d*(1 + m))");

}

// {(a + a*Sin[c + d*x])^2, x, 1, (3*a^2*x)/2 - (2*a^2*Cos[c + d*x])/d - (a^2*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02141() {
	check("Integrate[(a + a*Sin[c + d*x])^2, x]", "(3*a^2*x)/2 - (2*a^2*Cos[c + d*x])/d - (a^2*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(a + a*Sin[c + d*x])^(-1), x, 1, -(Cos[c + d*x]/(d*(a + a*Sin[c + d*x])))}
public void test02142() {
	check("Integrate[(a + a*Sin[c + d*x])^(-1), x]", "-(Cos[c + d*x]/(d*(a + a*Sin[c + d*x])))");

}

// {(a + a*Sin[x])^(-1), x, 1, -(Cos[x]/(a + a*Sin[x]))}
public void test02143() {
	check("Integrate[(a + a*Sin[x])^(-1), x]", "-(Cos[x]/(a + a*Sin[x]))");

}

// {Sqrt[a + a*Sin[c + d*x]], x, 1, (-2*a*Cos[c + d*x])/(d*Sqrt[a + a*Sin[c + d*x]])}
public void test02144() {
	check("Integrate[Sqrt[a + a*Sin[c + d*x]], x]", "(-2*a*Cos[c + d*x])/(d*Sqrt[a + a*Sin[c + d*x]])");

}

// {(1 + Sin[c + d*x])^n, x, 1, -((2^(1/2 + n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 - Sin[c + d*x])/2])/(d*Sqrt[1 + Sin[c + d*x]]))}
public void test02145() {
	check("Integrate[(1 + Sin[c + d*x])^n, x]", "-((2^(1/2 + n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 - Sin[c + d*x])/2])/(d*Sqrt[1 + Sin[c + d*x]]))");

}

// {(1 - Sin[c + d*x])^n, x, 1, (2^(1/2 + n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 + Sin[c + d*x])/2])/(d*Sqrt[1 - Sin[c + d*x]])}
public void test02146() {
	check("Integrate[(1 - Sin[c + d*x])^n, x]", "(2^(1/2 + n)*Cos[c + d*x]*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 + Sin[c + d*x])/2])/(d*Sqrt[1 - Sin[c + d*x]])");

}

// {Sin[e + f*x]*(a + b*Sin[e + f*x]), x, 1, (b*x)/2 - (a*Cos[e + f*x])/f - (b*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02147() {
	check("Integrate[Sin[e + f*x]*(a + b*Sin[e + f*x]), x]", "(b*x)/2 - (a*Cos[e + f*x])/f - (b*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {(a + b*Sin[e + f*x])^2, x, 1, ((2*a^2 + b^2)*x)/2 - (2*a*b*Cos[e + f*x])/f - (b^2*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02148() {
	check("Integrate[(a + b*Sin[e + f*x])^2, x]", "((2*a^2 + b^2)*x)/2 - (2*a*b*Cos[e + f*x])/f - (b^2*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {1/(Sqrt[Sin[c + d*x]]*Sqrt[a + b*Sin[c + d*x]]), x, 1, (-2*Sqrt[a + b]*Sqrt[(a*(1 - Csc[c + d*x]))/(a + b)]*Sqrt[(a*(1 + Csc[c + d*x]))/(a - b)]*EllipticF[ArcSin[Sqrt[a + b*Sin[c + d*x]]/(Sqrt[a + b]*Sqrt[Sin[c + d*x]])], -((a + b)/(a - b))]*Tan[c + d*x])/(a*d)}
public void test02149() {
	check("Integrate[1/(Sqrt[Sin[c + d*x]]*Sqrt[a + b*Sin[c + d*x]]), x]", "(-2*Sqrt[a + b]*Sqrt[(a*(1 - Csc[c + d*x]))/(a + b)]*Sqrt[(a*(1 + Csc[c + d*x]))/(a - b)]*EllipticF[ArcSin[Sqrt[a + b*Sin[c + d*x]]/(Sqrt[a + b]*Sqrt[Sin[c + d*x]])], -((a + b)/(a - b))]*Tan[c + d*x])/(a*d)");

}

// {(a + a*Sin[e + f*x])*(c - c*Sin[e + f*x]), x, 1, (a*c*x)/2 + (a*c*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02150() {
	check("Integrate[(a + a*Sin[e + f*x])*(c - c*Sin[e + f*x]), x]", "(a*c*x)/2 + (a*c*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(7/2), x, 1, -(a*Cos[e + f*x]*(c - c*Sin[e + f*x])^(7/2))/(4*f*Sqrt[a + a*Sin[e + f*x]])}
public void test02151() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(7/2), x]", "-(a*Cos[e + f*x]*(c - c*Sin[e + f*x])^(7/2))/(4*f*Sqrt[a + a*Sin[e + f*x]])");

}

// {Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(5/2), x, 1, -(a*Cos[e + f*x]*(c - c*Sin[e + f*x])^(5/2))/(3*f*Sqrt[a + a*Sin[e + f*x]])}
public void test02152() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(5/2), x]", "-(a*Cos[e + f*x]*(c - c*Sin[e + f*x])^(5/2))/(3*f*Sqrt[a + a*Sin[e + f*x]])");

}

// {Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(3/2), x, 1, -(a*Cos[e + f*x]*(c - c*Sin[e + f*x])^(3/2))/(2*f*Sqrt[a + a*Sin[e + f*x]])}
public void test02153() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(3/2), x]", "-(a*Cos[e + f*x]*(c - c*Sin[e + f*x])^(3/2))/(2*f*Sqrt[a + a*Sin[e + f*x]])");

}

// {Sqrt[a + a*Sin[e + f*x]]*Sqrt[c - c*Sin[e + f*x]], x, 1, -((a*Cos[e + f*x]*Sqrt[c - c*Sin[e + f*x]])/(f*Sqrt[a + a*Sin[e + f*x]]))}
public void test02154() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]*Sqrt[c - c*Sin[e + f*x]], x]", "-((a*Cos[e + f*x]*Sqrt[c - c*Sin[e + f*x]])/(f*Sqrt[a + a*Sin[e + f*x]]))");

}

// {Sqrt[a + a*Sin[e + f*x]]/(c - c*Sin[e + f*x])^(3/2), x, 1, (a*Cos[e + f*x])/(f*Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(3/2))}
public void test02155() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]/(c - c*Sin[e + f*x])^(3/2), x]", "(a*Cos[e + f*x])/(f*Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(3/2))");

}

// {Sqrt[a + a*Sin[e + f*x]]/(c - c*Sin[e + f*x])^(5/2), x, 1, (a*Cos[e + f*x])/(2*f*Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(5/2))}
public void test02156() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]/(c - c*Sin[e + f*x])^(5/2), x]", "(a*Cos[e + f*x])/(2*f*Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(5/2))");

}

// {Sqrt[a + a*Sin[e + f*x]]/(c - c*Sin[e + f*x])^(7/2), x, 1, (a*Cos[e + f*x])/(3*f*Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(7/2))}
public void test02157() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]/(c - c*Sin[e + f*x])^(7/2), x]", "(a*Cos[e + f*x])/(3*f*Sqrt[a + a*Sin[e + f*x]]*(c - c*Sin[e + f*x])^(7/2))");

}

// {(a + a*Sin[e + f*x])^(3/2)*Sqrt[c - c*Sin[e + f*x]], x, 1, (c*Cos[e + f*x]*(a + a*Sin[e + f*x])^(3/2))/(2*f*Sqrt[c - c*Sin[e + f*x]])}
public void test02158() {
	check("Integrate[(a + a*Sin[e + f*x])^(3/2)*Sqrt[c - c*Sin[e + f*x]], x]", "(c*Cos[e + f*x]*(a + a*Sin[e + f*x])^(3/2))/(2*f*Sqrt[c - c*Sin[e + f*x]])");

}

// {(a + a*Sin[e + f*x])^(3/2)/(c - c*Sin[e + f*x])^(5/2), x, 1, (Cos[e + f*x]*(a + a*Sin[e + f*x])^(3/2))/(4*f*(c - c*Sin[e + f*x])^(5/2))}
public void test02159() {
	check("Integrate[(a + a*Sin[e + f*x])^(3/2)/(c - c*Sin[e + f*x])^(5/2), x]", "(Cos[e + f*x]*(a + a*Sin[e + f*x])^(3/2))/(4*f*(c - c*Sin[e + f*x])^(5/2))");

}

// {(a + a*Sin[e + f*x])^(5/2)*Sqrt[c - c*Sin[e + f*x]], x, 1, (c*Cos[e + f*x]*(a + a*Sin[e + f*x])^(5/2))/(3*f*Sqrt[c - c*Sin[e + f*x]])}
public void test02160() {
	check("Integrate[(a + a*Sin[e + f*x])^(5/2)*Sqrt[c - c*Sin[e + f*x]], x]", "(c*Cos[e + f*x]*(a + a*Sin[e + f*x])^(5/2))/(3*f*Sqrt[c - c*Sin[e + f*x]])");

}

// {(a + a*Sin[e + f*x])^(5/2)/(c - c*Sin[e + f*x])^(7/2), x, 1, (Cos[e + f*x]*(a + a*Sin[e + f*x])^(5/2))/(6*f*(c - c*Sin[e + f*x])^(7/2))}
public void test02161() {
	check("Integrate[(a + a*Sin[e + f*x])^(5/2)/(c - c*Sin[e + f*x])^(7/2), x]", "(Cos[e + f*x]*(a + a*Sin[e + f*x])^(5/2))/(6*f*(c - c*Sin[e + f*x])^(7/2))");

}

// {(a + a*Sin[e + f*x])^(7/2)*Sqrt[c - c*Sin[e + f*x]], x, 1, (c*Cos[e + f*x]*(a + a*Sin[e + f*x])^(7/2))/(4*f*Sqrt[c - c*Sin[e + f*x]])}
public void test02162() {
	check("Integrate[(a + a*Sin[e + f*x])^(7/2)*Sqrt[c - c*Sin[e + f*x]], x]", "(c*Cos[e + f*x]*(a + a*Sin[e + f*x])^(7/2))/(4*f*Sqrt[c - c*Sin[e + f*x]])");

}

// {(a + a*Sin[e + f*x])^(7/2)/(c - c*Sin[e + f*x])^(9/2), x, 1, (Cos[e + f*x]*(a + a*Sin[e + f*x])^(7/2))/(8*f*(c - c*Sin[e + f*x])^(9/2))}
public void test02163() {
	check("Integrate[(a + a*Sin[e + f*x])^(7/2)/(c - c*Sin[e + f*x])^(9/2), x]", "(Cos[e + f*x]*(a + a*Sin[e + f*x])^(7/2))/(8*f*(c - c*Sin[e + f*x])^(9/2))");

}

// {Sqrt[c - c*Sin[e + f*x]]/(a + a*Sin[e + f*x])^(3/2), x, 1, -((c*Cos[e + f*x])/(f*(a + a*Sin[e + f*x])^(3/2)*Sqrt[c - c*Sin[e + f*x]]))}
public void test02164() {
	check("Integrate[Sqrt[c - c*Sin[e + f*x]]/(a + a*Sin[e + f*x])^(3/2), x]", "-((c*Cos[e + f*x])/(f*(a + a*Sin[e + f*x])^(3/2)*Sqrt[c - c*Sin[e + f*x]]))");

}

// {(c - c*Sin[e + f*x])^(3/2)/(a + a*Sin[e + f*x])^(5/2), x, 1, -(Cos[e + f*x]*(c - c*Sin[e + f*x])^(3/2))/(4*f*(a + a*Sin[e + f*x])^(5/2))}
public void test02165() {
	check("Integrate[(c - c*Sin[e + f*x])^(3/2)/(a + a*Sin[e + f*x])^(5/2), x]", "-(Cos[e + f*x]*(c - c*Sin[e + f*x])^(3/2))/(4*f*(a + a*Sin[e + f*x])^(5/2))");

}

// {Sqrt[c - c*Sin[e + f*x]]/(a + a*Sin[e + f*x])^(5/2), x, 1, -(c*Cos[e + f*x])/(2*f*(a + a*Sin[e + f*x])^(5/2)*Sqrt[c - c*Sin[e + f*x]])}
public void test02166() {
	check("Integrate[Sqrt[c - c*Sin[e + f*x]]/(a + a*Sin[e + f*x])^(5/2), x]", "-(c*Cos[e + f*x])/(2*f*(a + a*Sin[e + f*x])^(5/2)*Sqrt[c - c*Sin[e + f*x]])");

}

// {(a + a*Sin[e + f*x])^m*Sqrt[c - c*Sin[e + f*x]], x, 1, (2*c*Cos[e + f*x]*(a + a*Sin[e + f*x])^m)/(f*(1 + 2*m)*Sqrt[c - c*Sin[e + f*x]])}
public void test02167() {
	check("Integrate[(a + a*Sin[e + f*x])^m*Sqrt[c - c*Sin[e + f*x]], x]", "(2*c*Cos[e + f*x]*(a + a*Sin[e + f*x])^m)/(f*(1 + 2*m)*Sqrt[c - c*Sin[e + f*x]])");

}

// {(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^(-1 - m), x, 1, (Cos[e + f*x]*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^(-1 - m))/(f*(1 + 2*m))}
public void test02168() {
	check("Integrate[(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^(-1 - m), x]", "(Cos[e + f*x]*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^(-1 - m))/(f*(1 + 2*m))");

}

// {(a + a*Sin[e + f*x])*(c + d*Sin[e + f*x]), x, 1, (a*(2*c + d)*x)/2 - (a*(c + d)*Cos[e + f*x])/f - (a*d*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02169() {
	check("Integrate[(a + a*Sin[e + f*x])*(c + d*Sin[e + f*x]), x]", "(a*(2*c + d)*x)/2 - (a*(c + d)*Cos[e + f*x])/f - (a*d*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {(a + a*Sin[e + f*x])^2, x, 1, (3*a^2*x)/2 - (2*a^2*Cos[e + f*x])/f - (a^2*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02170() {
	check("Integrate[(a + a*Sin[e + f*x])^2, x]", "(3*a^2*x)/2 - (2*a^2*Cos[e + f*x])/f - (a^2*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {(a + a*Sin[e + f*x])^(-1), x, 1, -(Cos[e + f*x]/(f*(a + a*Sin[e + f*x])))}
public void test02171() {
	check("Integrate[(a + a*Sin[e + f*x])^(-1), x]", "-(Cos[e + f*x]/(f*(a + a*Sin[e + f*x])))");

}

// {Sqrt[a + a*Sin[e + f*x]], x, 1, (-2*a*Cos[e + f*x])/(f*Sqrt[a + a*Sin[e + f*x]])}
public void test02172() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]], x]", "(-2*a*Cos[e + f*x])/(f*Sqrt[a + a*Sin[e + f*x]])");

}

// {Sqrt[a + a*Sin[e + f*x]]/(c + d*Sin[e + f*x])^(3/2), x, 1, (-2*a*Cos[e + f*x])/((c + d)*f*Sqrt[a + a*Sin[e + f*x]]*Sqrt[c + d*Sin[e + f*x]])}
public void test02173() {
	check("Integrate[Sqrt[a + a*Sin[e + f*x]]/(c + d*Sin[e + f*x])^(3/2), x]", "(-2*a*Cos[e + f*x])/((c + d)*f*Sqrt[a + a*Sin[e + f*x]]*Sqrt[c + d*Sin[e + f*x]])");

}

// {(3 - 3*Sin[e + f*x])^(-1 - m)*(1 + Sin[e + f*x])^m, x, 1, (Cos[e + f*x]*(3 - 3*Sin[e + f*x])^(-1 - m)*(1 + Sin[e + f*x])^m)/(f*(1 + 2*m))}
public void test02174() {
	check("Integrate[(3 - 3*Sin[e + f*x])^(-1 - m)*(1 + Sin[e + f*x])^m, x]", "(Cos[e + f*x]*(3 - 3*Sin[e + f*x])^(-1 - m)*(1 + Sin[e + f*x])^m)/(f*(1 + 2*m))");

}

// {(3 - 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m, x, 1, (Cos[e + f*x]*(3 - 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m)/(f*(1 + 2*m))}
public void test02175() {
	check("Integrate[(3 - 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m, x]", "(Cos[e + f*x]*(3 - 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m)/(f*(1 + 2*m))");

}

// {(-3 + 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m, x, 1, (Cos[e + f*x]*(-3 + 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m)/(f*(1 + 2*m))}
public void test02176() {
	check("Integrate[(-3 + 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m, x]", "(Cos[e + f*x]*(-3 + 3*Sin[e + f*x])^(-1 - m)*(a + a*Sin[e + f*x])^m)/(f*(1 + 2*m))");

}

// {(a + b*Sin[e + f*x])*(c + d*Sin[e + f*x]), x, 1, ((2*a*c + b*d)*x)/2 - ((b*c + a*d)*Cos[e + f*x])/f - (b*d*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02177() {
	check("Integrate[(a + b*Sin[e + f*x])*(c + d*Sin[e + f*x]), x]", "((2*a*c + b*d)*x)/2 - ((b*c + a*d)*Cos[e + f*x])/f - (b*d*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {(a + b*Sin[e + f*x])^2, x, 1, ((2*a^2 + b^2)*x)/2 - (2*a*b*Cos[e + f*x])/f - (b^2*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02178() {
	check("Integrate[(a + b*Sin[e + f*x])^2, x]", "((2*a^2 + b^2)*x)/2 - (2*a*b*Cos[e + f*x])/f - (b^2*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {Sqrt[a + b*Sin[e + f*x]]/Sqrt[c + d*Sin[e + f*x]], x, 1, (2*Sqrt[c + d]*EllipticPi[(b*(c + d))/((a + b)*d), ArcSin[(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])/(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])], ((a - b)*(c + d))/((a + b)*(c - d))]*Sec[e + f*x]*Sqrt[-(((b*c - a*d)*(1 - Sin[e + f*x]))/((c + d)*(a + b*Sin[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sin[e + f*x]))/((c - d)*(a + b*Sin[e + f*x]))]*(a + b*Sin[e + f*x]))/(Sqrt[a + b]*d*f)}
public void test02179() {
	check("Integrate[Sqrt[a + b*Sin[e + f*x]]/Sqrt[c + d*Sin[e + f*x]], x]", "(2*Sqrt[c + d]*EllipticPi[(b*(c + d))/((a + b)*d), ArcSin[(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])/(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])], ((a - b)*(c + d))/((a + b)*(c - d))]*Sec[e + f*x]*Sqrt[-(((b*c - a*d)*(1 - Sin[e + f*x]))/((c + d)*(a + b*Sin[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sin[e + f*x]))/((c - d)*(a + b*Sin[e + f*x]))]*(a + b*Sin[e + f*x]))/(Sqrt[a + b]*d*f)");

}

// {Sqrt[c + d*Sin[e + f*x]]/Sqrt[a + b*Sin[e + f*x]], x, 1, (2*Sqrt[a + b]*EllipticPi[((a + b)*d)/(b*(c + d)), ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sec[e + f*x]*Sqrt[((b*c - a*d)*(1 - Sin[e + f*x]))/((a + b)*(c + d*Sin[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sin[e + f*x]))/((a - b)*(c + d*Sin[e + f*x])))]*(c + d*Sin[e + f*x]))/(b*Sqrt[c + d]*f)}
public void test02180() {
	check("Integrate[Sqrt[c + d*Sin[e + f*x]]/Sqrt[a + b*Sin[e + f*x]], x]", "(2*Sqrt[a + b]*EllipticPi[((a + b)*d)/(b*(c + d)), ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sec[e + f*x]*Sqrt[((b*c - a*d)*(1 - Sin[e + f*x]))/((a + b)*(c + d*Sin[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sin[e + f*x]))/((a - b)*(c + d*Sin[e + f*x])))]*(c + d*Sin[e + f*x]))/(b*Sqrt[c + d]*f)");

}

// {1/(Sqrt[a + b*Sin[e + f*x]]*Sqrt[c + d*Sin[e + f*x]]), x, 1, (2*Sqrt[a + b]*EllipticF[ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sec[e + f*x]*Sqrt[((b*c - a*d)*(1 - Sin[e + f*x]))/((a + b)*(c + d*Sin[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sin[e + f*x]))/((a - b)*(c + d*Sin[e + f*x])))]*(c + d*Sin[e + f*x]))/(Sqrt[c + d]*(b*c - a*d)*f)}
public void test02181() {
	check("Integrate[1/(Sqrt[a + b*Sin[e + f*x]]*Sqrt[c + d*Sin[e + f*x]]), x]", "(2*Sqrt[a + b]*EllipticF[ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sec[e + f*x]*Sqrt[((b*c - a*d)*(1 - Sin[e + f*x]))/((a + b)*(c + d*Sin[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sin[e + f*x]))/((a - b)*(c + d*Sin[e + f*x])))]*(c + d*Sin[e + f*x]))/(Sqrt[c + d]*(b*c - a*d)*f)");

}

// {(c*(d*Sin[e + f*x])^p)^n*(a + b*Sin[e + f*x])^m, x, 1, ((c*(d*Sin[e + f*x])^p)^n*Unintegrable[(d*Sin[e + f*x])^(n*p)*(a + b*Sin[e + f*x])^m, x])/(d*Sin[e + f*x])^(n*p)}
public void test02182() {
	check("Integrate[(c*(d*Sin[e + f*x])^p)^n*(a + b*Sin[e + f*x])^m, x]", "((c*(d*Sin[e + f*x])^p)^n*Unintegrable[(d*Sin[e + f*x])^(n*p)*(a + b*Sin[e + f*x])^m, x])/(d*Sin[e + f*x])^(n*p)");

}

// {(g*Cos[e + f*x])^(1 - 2*m)*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n, x, 1, -((a*(g*Cos[e + f*x])^(2 - 2*m)*(a + a*Sin[e + f*x])^(-1 + m)*(c - c*Sin[e + f*x])^n)/(f*g*(1 - m + n)))}
public void test02183() {
	check("Integrate[(g*Cos[e + f*x])^(1 - 2*m)*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n, x]", "-((a*(g*Cos[e + f*x])^(2 - 2*m)*(a + a*Sin[e + f*x])^(-1 + m)*(c - c*Sin[e + f*x])^n)/(f*g*(1 - m + n)))");

}

// {(g*Cos[e + f*x])^(-1 - m - n)*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n, x, 1, ((g*Cos[e + f*x])^(-m - n)*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n)/(f*g*(m - n))}
public void test02184() {
	check("Integrate[(g*Cos[e + f*x])^(-1 - m - n)*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n, x]", "((g*Cos[e + f*x])^(-m - n)*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n)/(f*g*(m - n))");

}

// {(g*Cos[e + f*x])^p*(a + a*Sin[e + f*x])^m*(A*m - A*(1 + m + p)*Sin[e + f*x]), x, 1, (A*(g*Cos[e + f*x])^(1 + p)*(a + a*Sin[e + f*x])^m)/(f*g)}
public void test02185() {
	check("Integrate[(g*Cos[e + f*x])^p*(a + a*Sin[e + f*x])^m*(A*m - A*(1 + m + p)*Sin[e + f*x]), x]", "(A*(g*Cos[e + f*x])^(1 + p)*(a + a*Sin[e + f*x])^m)/(f*g)");

}

// {(g*Cos[e + f*x])^p*(a - a*Sin[e + f*x])^m*(A*m + A*(1 + m + p)*Sin[e + f*x]), x, 1, -((A*(g*Cos[e + f*x])^(1 + p)*(a - a*Sin[e + f*x])^m)/(f*g))}
public void test02186() {
	check("Integrate[(g*Cos[e + f*x])^p*(a - a*Sin[e + f*x])^m*(A*m + A*(1 + m + p)*Sin[e + f*x]), x]", "-((A*(g*Cos[e + f*x])^(1 + p)*(a - a*Sin[e + f*x])^m)/(f*g))");

}

// {Sqrt[a + b*Sin[e + f*x]]/(Sqrt[g*Sin[e + f*x]]*(c + c*Sin[e + f*x])), x, 1, -((EllipticE[ArcSin[Cos[e + f*x]/(1 + Sin[e + f*x])], -((a - b)/(a + b))]*Sqrt[Sin[e + f*x]/(1 + Sin[e + f*x])]*Sqrt[a + b*Sin[e + f*x]])/(c*f*Sqrt[g*Sin[e + f*x]]*Sqrt[(a + b*Sin[e + f*x])/((a + b)*(1 + Sin[e + f*x]))]))}
public void test02187() {
	check("Integrate[Sqrt[a + b*Sin[e + f*x]]/(Sqrt[g*Sin[e + f*x]]*(c + c*Sin[e + f*x])), x]", "-((EllipticE[ArcSin[Cos[e + f*x]/(1 + Sin[e + f*x])], -((a - b)/(a + b))]*Sqrt[Sin[e + f*x]/(1 + Sin[e + f*x])]*Sqrt[a + b*Sin[e + f*x]])/(c*f*Sqrt[g*Sin[e + f*x]]*Sqrt[(a + b*Sin[e + f*x])/((a + b)*(1 + Sin[e + f*x]))]))");

}

// {Sqrt[g*Sin[e + f*x]]/(Sqrt[a + b*Sin[e + f*x]]*(c + d*Sin[e + f*x])), x, 1, (2*Sqrt[-Cot[e + f*x]^2]*Sqrt[(b + a*Csc[e + f*x])/(a + b)]*EllipticPi[(2*c)/(c + d), ArcSin[Sqrt[1 - Csc[e + f*x]]/Sqrt[2]], (2*a)/(a + b)]*Sqrt[g*Sin[e + f*x]]*Tan[e + f*x])/((c + d)*f*Sqrt[a + b*Sin[e + f*x]])}
public void test02188() {
	check("Integrate[Sqrt[g*Sin[e + f*x]]/(Sqrt[a + b*Sin[e + f*x]]*(c + d*Sin[e + f*x])), x]", "(2*Sqrt[-Cot[e + f*x]^2]*Sqrt[(b + a*Csc[e + f*x])/(a + b)]*EllipticPi[(2*c)/(c + d), ArcSin[Sqrt[1 - Csc[e + f*x]]/Sqrt[2]], (2*a)/(a + b)]*Sqrt[g*Sin[e + f*x]]*Tan[e + f*x])/((c + d)*f*Sqrt[a + b*Sin[e + f*x]])");

}

// {Sqrt[g*Sin[e + f*x]]/((a + b*Sin[e + f*x])*Sqrt[c + d*Sin[e + f*x]]), x, 1, (2*Sqrt[-Cot[e + f*x]^2]*Sqrt[(d + c*Csc[e + f*x])/(c + d)]*EllipticPi[(2*a)/(a + b), ArcSin[Sqrt[1 - Csc[e + f*x]]/Sqrt[2]], (2*c)/(c + d)]*Sqrt[g*Sin[e + f*x]]*Tan[e + f*x])/((a + b)*f*Sqrt[c + d*Sin[e + f*x]])}
public void test02189() {
	check("Integrate[Sqrt[g*Sin[e + f*x]]/((a + b*Sin[e + f*x])*Sqrt[c + d*Sin[e + f*x]]), x]", "(2*Sqrt[-Cot[e + f*x]^2]*Sqrt[(d + c*Csc[e + f*x])/(c + d)]*EllipticPi[(2*a)/(a + b), ArcSin[Sqrt[1 - Csc[e + f*x]]/Sqrt[2]], (2*c)/(c + d)]*Sqrt[g*Sin[e + f*x]]*Tan[e + f*x])/((a + b)*f*Sqrt[c + d*Sin[e + f*x]])");

}

// {(Csc[e + f*x]*Sqrt[a + b*Sin[e + f*x]])/Sqrt[c + d*Sin[e + f*x]], x, 1, (-2*Sqrt[c + d]*EllipticPi[(a*(c + d))/((a + b)*c), ArcSin[(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])/(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])], ((a - b)*(c + d))/((a + b)*(c - d))]*Sec[e + f*x]*Sqrt[-(((b*c - a*d)*(1 - Sin[e + f*x]))/((c + d)*(a + b*Sin[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sin[e + f*x]))/((c - d)*(a + b*Sin[e + f*x]))]*(a + b*Sin[e + f*x]))/(Sqrt[a + b]*c*f)}
public void test02190() {
	check("Integrate[(Csc[e + f*x]*Sqrt[a + b*Sin[e + f*x]])/Sqrt[c + d*Sin[e + f*x]], x]", "(-2*Sqrt[c + d]*EllipticPi[(a*(c + d))/((a + b)*c), ArcSin[(Sqrt[a + b]*Sqrt[c + d*Sin[e + f*x]])/(Sqrt[c + d]*Sqrt[a + b*Sin[e + f*x]])], ((a - b)*(c + d))/((a + b)*(c - d))]*Sec[e + f*x]*Sqrt[-(((b*c - a*d)*(1 - Sin[e + f*x]))/((c + d)*(a + b*Sin[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sin[e + f*x]))/((c - d)*(a + b*Sin[e + f*x]))]*(a + b*Sin[e + f*x]))/(Sqrt[a + b]*c*f)");

}

// {Sin[c + d*x]^n*(a + a*Sin[c + d*x])^(-2 - n)*(-1 - n - (-2 - n)*Sin[c + d*x]), x, 1, -((Cos[c + d*x]*Sin[c + d*x]^(1 + n)*(a + a*Sin[c + d*x])^(-2 - n))/d)}
public void test02191() {
	check("Integrate[Sin[c + d*x]^n*(a + a*Sin[c + d*x])^(-2 - n)*(-1 - n - (-2 - n)*Sin[c + d*x]), x]", "-((Cos[c + d*x]*Sin[c + d*x]^(1 + n)*(a + a*Sin[c + d*x])^(-2 - n))/d)");

}

// {Sin[c + d*x]^(-2 - m)*(a + a*Sin[c + d*x])^m*(1 + m - m*Sin[c + d*x]), x, 1, -((Cos[c + d*x]*Sin[c + d*x]^(-1 - m)*(a + a*Sin[c + d*x])^m)/d)}
public void test02192() {
	check("Integrate[Sin[c + d*x]^(-2 - m)*(a + a*Sin[c + d*x])^m*(1 + m - m*Sin[c + d*x]), x]", "-((Cos[c + d*x]*Sin[c + d*x]^(-1 - m)*(a + a*Sin[c + d*x])^m)/d)");

}

// {(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n*(B*(m - n) - B*(1 + m + n)*Sin[e + f*x]), x, 1, (B*Cos[e + f*x]*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n)/f}
public void test02193() {
	check("Integrate[(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n*(B*(m - n) - B*(1 + m + n)*Sin[e + f*x]), x]", "(B*Cos[e + f*x]*(a + a*Sin[e + f*x])^m*(c - c*Sin[e + f*x])^n)/f");

}

// {(a - a*Sin[e + f*x])^m*(c + c*Sin[e + f*x])^n*(B*(m - n) + B*(1 + m + n)*Sin[e + f*x]), x, 1, -((B*Cos[e + f*x]*(a - a*Sin[e + f*x])^m*(c + c*Sin[e + f*x])^n)/f)}
public void test02194() {
	check("Integrate[(a - a*Sin[e + f*x])^m*(c + c*Sin[e + f*x])^n*(B*(m - n) + B*(1 + m + n)*Sin[e + f*x]), x]", "-((B*Cos[e + f*x]*(a - a*Sin[e + f*x])^m*(c + c*Sin[e + f*x])^n)/f)");

}

// {(a + a*Sin[e + f*x])*(A + B*Sin[e + f*x]), x, 1, (a*(2*A + B)*x)/2 - (a*(A + B)*Cos[e + f*x])/f - (a*B*Cos[e + f*x]*Sin[e + f*x])/(2*f)}
public void test02195() {
	check("Integrate[(a + a*Sin[e + f*x])*(A + B*Sin[e + f*x]), x]", "(a*(2*A + B)*x)/2 - (a*(A + B)*Cos[e + f*x])/f - (a*B*Cos[e + f*x]*Sin[e + f*x])/(2*f)");

}

// {(a + a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-2 - m)*(d - (c - d)*m + (c + (c - d)*m)*Sin[e + f*x]), x, 1, -((Cos[e + f*x]*(a + a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-1 - m))/f)}
public void test02196() {
	check("Integrate[(a + a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-2 - m)*(d - (c - d)*m + (c + (c - d)*m)*Sin[e + f*x]), x]", "-((Cos[e + f*x]*(a + a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-1 - m))/f)");

}

// {(a - a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-2 - m)*(d + (c + d)*m + (c + (c + d)*m)*Sin[e + f*x]), x, 1, -((Cos[e + f*x]*(a - a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-1 - m))/f)}
public void test02197() {
	check("Integrate[(a - a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-2 - m)*(d + (c + d)*m + (c + (c + d)*m)*Sin[e + f*x]), x]", "-((Cos[e + f*x]*(a - a*Sin[e + f*x])^m*(c + d*Sin[e + f*x])^(-1 - m))/f)");

}

// {Sin[e + f*x]^m*(1 + m - (2 + m)*Sin[e + f*x]^2), x, 1, (Cos[e + f*x]*Sin[e + f*x]^(1 + m))/f}
public void test02198() {
	check("Integrate[Sin[e + f*x]^m*(1 + m - (2 + m)*Sin[e + f*x]^2), x]", "(Cos[e + f*x]*Sin[e + f*x]^(1 + m))/f");

}

// {Sin[e + f*x]^5*(6 - 7*Sin[e + f*x]^2), x, 1, (Cos[e + f*x]*Sin[e + f*x]^6)/f}
public void test02199() {
	check("Integrate[Sin[e + f*x]^5*(6 - 7*Sin[e + f*x]^2), x]", "(Cos[e + f*x]*Sin[e + f*x]^6)/f");

}

// {Sin[e + f*x]^4*(5 - 6*Sin[e + f*x]^2), x, 1, (Cos[e + f*x]*Sin[e + f*x]^5)/f}
public void test02200() {
	check("Integrate[Sin[e + f*x]^4*(5 - 6*Sin[e + f*x]^2), x]", "(Cos[e + f*x]*Sin[e + f*x]^5)/f");

}

// {Sin[e + f*x]^3*(4 - 5*Sin[e + f*x]^2), x, 1, (Cos[e + f*x]*Sin[e + f*x]^4)/f}
public void test02201() {
	check("Integrate[Sin[e + f*x]^3*(4 - 5*Sin[e + f*x]^2), x]", "(Cos[e + f*x]*Sin[e + f*x]^4)/f");

}

// {Sin[e + f*x]^2*(3 - 4*Sin[e + f*x]^2), x, 1, (Cos[e + f*x]*Sin[e + f*x]^3)/f}
public void test02202() {
	check("Integrate[Sin[e + f*x]^2*(3 - 4*Sin[e + f*x]^2), x]", "(Cos[e + f*x]*Sin[e + f*x]^3)/f");

}

// {Sin[e + f*x]*(2 - 3*Sin[e + f*x]^2), x, 1, (Cos[e + f*x]*Sin[e + f*x]^2)/f}
public void test02203() {
	check("Integrate[Sin[e + f*x]*(2 - 3*Sin[e + f*x]^2), x]", "(Cos[e + f*x]*Sin[e + f*x]^2)/f");

}

// {-Sin[e + f*x], x, 1, Cos[e + f*x]/f}
public void test02204() {
	check("Integrate[-Sin[e + f*x], x]", "Cos[e + f*x]/f");

}

// {Csc[e + f*x]^3*(-2 + Sin[e + f*x]^2), x, 1, (Cot[e + f*x]*Csc[e + f*x])/f}
public void test02205() {
	check("Integrate[Csc[e + f*x]^3*(-2 + Sin[e + f*x]^2), x]", "(Cot[e + f*x]*Csc[e + f*x])/f");

}

// {Csc[e + f*x]^4*(-3 + 2*Sin[e + f*x]^2), x, 1, (Cot[e + f*x]*Csc[e + f*x]^2)/f}
public void test02206() {
	check("Integrate[Csc[e + f*x]^4*(-3 + 2*Sin[e + f*x]^2), x]", "(Cot[e + f*x]*Csc[e + f*x]^2)/f");

}

// {Csc[e + f*x]^5*(-4 + 3*Sin[e + f*x]^2), x, 1, (Cot[e + f*x]*Csc[e + f*x]^3)/f}
public void test02207() {
	check("Integrate[Csc[e + f*x]^5*(-4 + 3*Sin[e + f*x]^2), x]", "(Cot[e + f*x]*Csc[e + f*x]^3)/f");

}

// {(a + b*Sin[x]^2)^2, x, 1, ((8*a^2 + 8*a*b + 3*b^2)*x)/8 - (b*(8*a + 3*b)*Cos[x]*Sin[x])/8 - (b^2*Cos[x]*Sin[x]^3)/4}
public void test02208() {
	check("Integrate[(a + b*Sin[x]^2)^2, x]", "((8*a^2 + 8*a*b + 3*b^2)*x)/8 - (b*(8*a + 3*b)*Cos[x]*Sin[x])/8 - (b^2*Cos[x]*Sin[x]^3)/4");

}

// {(a + b*Sin[e + f*x]^2)^2, x, 1, ((8*a^2 + 8*a*b + 3*b^2)*x)/8 - (b*(8*a + 3*b)*Cos[e + f*x]*Sin[e + f*x])/(8*f) - (b^2*Cos[e + f*x]*Sin[e + f*x]^3)/(4*f)}
public void test02209() {
	check("Integrate[(a + b*Sin[e + f*x]^2)^2, x]", "((8*a^2 + 8*a*b + 3*b^2)*x)/8 - (b*(8*a + 3*b)*Cos[e + f*x]*Sin[e + f*x])/(8*f) - (b^2*Cos[e + f*x]*Sin[e + f*x]^3)/(4*f)");

}

// {Cos[a + b*x], x, 1, Sin[a + b*x]/b}
public void test02210() {
	check("Integrate[Cos[a + b*x], x]", "Sin[a + b*x]/b");

}

// {Sqrt[Cos[a + b*x]], x, 1, (2*EllipticE[(a + b*x)/2, 2])/b}
public void test02211() {
	check("Integrate[Sqrt[Cos[a + b*x]], x]", "(2*EllipticE[(a + b*x)/2, 2])/b");

}

// {1/Sqrt[Cos[a + b*x]], x, 1, (2*EllipticF[(a + b*x)/2, 2])/b}
public void test02212() {
	check("Integrate[1/Sqrt[Cos[a + b*x]], x]", "(2*EllipticF[(a + b*x)/2, 2])/b");

}

// {Cos[a + b*x]^(4/3), x, 1, (-3*Cos[a + b*x]^(7/3)*Hypergeometric2F1[1/2, 7/6, 13/6, Cos[a + b*x]^2]*Sin[a + b*x])/(7*b*Sqrt[Sin[a + b*x]^2])}
public void test02213() {
	check("Integrate[Cos[a + b*x]^(4/3), x]", "(-3*Cos[a + b*x]^(7/3)*Hypergeometric2F1[1/2, 7/6, 13/6, Cos[a + b*x]^2]*Sin[a + b*x])/(7*b*Sqrt[Sin[a + b*x]^2])");

}

// {Cos[a + b*x]^(2/3), x, 1, (-3*Cos[a + b*x]^(5/3)*Hypergeometric2F1[1/2, 5/6, 11/6, Cos[a + b*x]^2]*Sin[a + b*x])/(5*b*Sqrt[Sin[a + b*x]^2])}
public void test02214() {
	check("Integrate[Cos[a + b*x]^(2/3), x]", "(-3*Cos[a + b*x]^(5/3)*Hypergeometric2F1[1/2, 5/6, 11/6, Cos[a + b*x]^2]*Sin[a + b*x])/(5*b*Sqrt[Sin[a + b*x]^2])");

}

// {Cos[a + b*x]^(1/3), x, 1, (-3*Cos[a + b*x]^(4/3)*Hypergeometric2F1[1/2, 2/3, 5/3, Cos[a + b*x]^2]*Sin[a + b*x])/(4*b*Sqrt[Sin[a + b*x]^2])}
public void test02215() {
	check("Integrate[Cos[a + b*x]^(1/3), x]", "(-3*Cos[a + b*x]^(4/3)*Hypergeometric2F1[1/2, 2/3, 5/3, Cos[a + b*x]^2]*Sin[a + b*x])/(4*b*Sqrt[Sin[a + b*x]^2])");

}

// {Cos[a + b*x]^(-1/3), x, 1, (-3*Cos[a + b*x]^(2/3)*Hypergeometric2F1[1/3, 1/2, 4/3, Cos[a + b*x]^2]*Sin[a + b*x])/(2*b*Sqrt[Sin[a + b*x]^2])}
public void test02216() {
	check("Integrate[Cos[a + b*x]^(-1/3), x]", "(-3*Cos[a + b*x]^(2/3)*Hypergeometric2F1[1/3, 1/2, 4/3, Cos[a + b*x]^2]*Sin[a + b*x])/(2*b*Sqrt[Sin[a + b*x]^2])");

}

// {Cos[a + b*x]^(-2/3), x, 1, (-3*Cos[a + b*x]^(1/3)*Hypergeometric2F1[1/6, 1/2, 7/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*Sqrt[Sin[a + b*x]^2])}
public void test02217() {
	check("Integrate[Cos[a + b*x]^(-2/3), x]", "(-3*Cos[a + b*x]^(1/3)*Hypergeometric2F1[1/6, 1/2, 7/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*Sqrt[Sin[a + b*x]^2])");

}

// {Cos[a + b*x]^(-4/3), x, 1, (3*Hypergeometric2F1[-1/6, 1/2, 5/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*Cos[a + b*x]^(1/3)*Sqrt[Sin[a + b*x]^2])}
public void test02218() {
	check("Integrate[Cos[a + b*x]^(-4/3), x]", "(3*Hypergeometric2F1[-1/6, 1/2, 5/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*Cos[a + b*x]^(1/3)*Sqrt[Sin[a + b*x]^2])");

}

// {(c*Cos[a + b*x])^(4/3), x, 1, (-3*(c*Cos[a + b*x])^(7/3)*Hypergeometric2F1[1/2, 7/6, 13/6, Cos[a + b*x]^2]*Sin[a + b*x])/(7*b*c*Sqrt[Sin[a + b*x]^2])}
public void test02219() {
	check("Integrate[(c*Cos[a + b*x])^(4/3), x]", "(-3*(c*Cos[a + b*x])^(7/3)*Hypergeometric2F1[1/2, 7/6, 13/6, Cos[a + b*x]^2]*Sin[a + b*x])/(7*b*c*Sqrt[Sin[a + b*x]^2])");

}

// {(c*Cos[a + b*x])^(2/3), x, 1, (-3*(c*Cos[a + b*x])^(5/3)*Hypergeometric2F1[1/2, 5/6, 11/6, Cos[a + b*x]^2]*Sin[a + b*x])/(5*b*c*Sqrt[Sin[a + b*x]^2])}
public void test02220() {
	check("Integrate[(c*Cos[a + b*x])^(2/3), x]", "(-3*(c*Cos[a + b*x])^(5/3)*Hypergeometric2F1[1/2, 5/6, 11/6, Cos[a + b*x]^2]*Sin[a + b*x])/(5*b*c*Sqrt[Sin[a + b*x]^2])");

}

// {(c*Cos[a + b*x])^(1/3), x, 1, (-3*(c*Cos[a + b*x])^(4/3)*Hypergeometric2F1[1/2, 2/3, 5/3, Cos[a + b*x]^2]*Sin[a + b*x])/(4*b*c*Sqrt[Sin[a + b*x]^2])}
public void test02221() {
	check("Integrate[(c*Cos[a + b*x])^(1/3), x]", "(-3*(c*Cos[a + b*x])^(4/3)*Hypergeometric2F1[1/2, 2/3, 5/3, Cos[a + b*x]^2]*Sin[a + b*x])/(4*b*c*Sqrt[Sin[a + b*x]^2])");

}

// {(c*Cos[a + b*x])^(-1/3), x, 1, (-3*(c*Cos[a + b*x])^(2/3)*Hypergeometric2F1[1/3, 1/2, 4/3, Cos[a + b*x]^2]*Sin[a + b*x])/(2*b*c*Sqrt[Sin[a + b*x]^2])}
public void test02222() {
	check("Integrate[(c*Cos[a + b*x])^(-1/3), x]", "(-3*(c*Cos[a + b*x])^(2/3)*Hypergeometric2F1[1/3, 1/2, 4/3, Cos[a + b*x]^2]*Sin[a + b*x])/(2*b*c*Sqrt[Sin[a + b*x]^2])");

}

// {(c*Cos[a + b*x])^(-2/3), x, 1, (-3*(c*Cos[a + b*x])^(1/3)*Hypergeometric2F1[1/6, 1/2, 7/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*c*Sqrt[Sin[a + b*x]^2])}
public void test02223() {
	check("Integrate[(c*Cos[a + b*x])^(-2/3), x]", "(-3*(c*Cos[a + b*x])^(1/3)*Hypergeometric2F1[1/6, 1/2, 7/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*c*Sqrt[Sin[a + b*x]^2])");

}

// {(c*Cos[a + b*x])^(-4/3), x, 1, (3*Hypergeometric2F1[-1/6, 1/2, 5/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*c*(c*Cos[a + b*x])^(1/3)*Sqrt[Sin[a + b*x]^2])}
public void test02224() {
	check("Integrate[(c*Cos[a + b*x])^(-4/3), x]", "(3*Hypergeometric2F1[-1/6, 1/2, 5/6, Cos[a + b*x]^2]*Sin[a + b*x])/(b*c*(c*Cos[a + b*x])^(1/3)*Sqrt[Sin[a + b*x]^2])");

}

// {Cos[a + b*x]^n, x, 1, -((Cos[a + b*x]^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*(1 + n)*Sqrt[Sin[a + b*x]^2]))}
public void test02225() {
	check("Integrate[Cos[a + b*x]^n, x]", "-((Cos[a + b*x]^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*(1 + n)*Sqrt[Sin[a + b*x]^2]))");

}

// {(c*Cos[a + b*x])^n, x, 1, -(((c*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*c*(1 + n)*Sqrt[Sin[a + b*x]^2]))}
public void test02226() {
	check("Integrate[(c*Cos[a + b*x])^n, x]", "-(((c*Cos[a + b*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[a + b*x]^2]*Sin[a + b*x])/(b*c*(1 + n)*Sqrt[Sin[a + b*x]^2]))");

}

// {(b*Cos[c + d*x])^(1/3), x, 1, (-3*(b*Cos[c + d*x])^(4/3)*Hypergeometric2F1[1/2, 2/3, 5/3, Cos[c + d*x]^2]*Sin[c + d*x])/(4*b*d*Sqrt[Sin[c + d*x]^2])}
public void test02227() {
	check("Integrate[(b*Cos[c + d*x])^(1/3), x]", "(-3*(b*Cos[c + d*x])^(4/3)*Hypergeometric2F1[1/2, 2/3, 5/3, Cos[c + d*x]^2]*Sin[c + d*x])/(4*b*d*Sqrt[Sin[c + d*x]^2])");

}

// {(b*Cos[c + d*x])^(2/3), x, 1, (-3*(b*Cos[c + d*x])^(5/3)*Hypergeometric2F1[1/2, 5/6, 11/6, Cos[c + d*x]^2]*Sin[c + d*x])/(5*b*d*Sqrt[Sin[c + d*x]^2])}
public void test02228() {
	check("Integrate[(b*Cos[c + d*x])^(2/3), x]", "(-3*(b*Cos[c + d*x])^(5/3)*Hypergeometric2F1[1/2, 5/6, 11/6, Cos[c + d*x]^2]*Sin[c + d*x])/(5*b*d*Sqrt[Sin[c + d*x]^2])");

}

// {(b*Cos[c + d*x])^(4/3), x, 1, (-3*(b*Cos[c + d*x])^(7/3)*Hypergeometric2F1[1/2, 7/6, 13/6, Cos[c + d*x]^2]*Sin[c + d*x])/(7*b*d*Sqrt[Sin[c + d*x]^2])}
public void test02229() {
	check("Integrate[(b*Cos[c + d*x])^(4/3), x]", "(-3*(b*Cos[c + d*x])^(7/3)*Hypergeometric2F1[1/2, 7/6, 13/6, Cos[c + d*x]^2]*Sin[c + d*x])/(7*b*d*Sqrt[Sin[c + d*x]^2])");

}

// {(b*Cos[c + d*x])^(-1/3), x, 1, (-3*(b*Cos[c + d*x])^(2/3)*Hypergeometric2F1[1/3, 1/2, 4/3, Cos[c + d*x]^2]*Sin[c + d*x])/(2*b*d*Sqrt[Sin[c + d*x]^2])}
public void test02230() {
	check("Integrate[(b*Cos[c + d*x])^(-1/3), x]", "(-3*(b*Cos[c + d*x])^(2/3)*Hypergeometric2F1[1/3, 1/2, 4/3, Cos[c + d*x]^2]*Sin[c + d*x])/(2*b*d*Sqrt[Sin[c + d*x]^2])");

}

// {(b*Cos[c + d*x])^(-2/3), x, 1, (-3*(b*Cos[c + d*x])^(1/3)*Hypergeometric2F1[1/6, 1/2, 7/6, Cos[c + d*x]^2]*Sin[c + d*x])/(b*d*Sqrt[Sin[c + d*x]^2])}
public void test02231() {
	check("Integrate[(b*Cos[c + d*x])^(-2/3), x]", "(-3*(b*Cos[c + d*x])^(1/3)*Hypergeometric2F1[1/6, 1/2, 7/6, Cos[c + d*x]^2]*Sin[c + d*x])/(b*d*Sqrt[Sin[c + d*x]^2])");

}

// {(b*Cos[c + d*x])^(-4/3), x, 1, (3*Hypergeometric2F1[-1/6, 1/2, 5/6, Cos[c + d*x]^2]*Sin[c + d*x])/(b*d*(b*Cos[c + d*x])^(1/3)*Sqrt[Sin[c + d*x]^2])}
public void test02232() {
	check("Integrate[(b*Cos[c + d*x])^(-4/3), x]", "(3*Hypergeometric2F1[-1/6, 1/2, 5/6, Cos[c + d*x]^2]*Sin[c + d*x])/(b*d*(b*Cos[c + d*x])^(1/3)*Sqrt[Sin[c + d*x]^2])");

}

// {(b*Cos[c + d*x])^n, x, 1, -(((b*Cos[c + d*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[c + d*x]^2]*Sin[c + d*x])/(b*d*(1 + n)*Sqrt[Sin[c + d*x]^2]))}
public void test02233() {
	check("Integrate[(b*Cos[c + d*x])^n, x]", "-(((b*Cos[c + d*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cos[c + d*x]^2]*Sin[c + d*x])/(b*d*(1 + n)*Sqrt[Sin[c + d*x]^2]))");

}

// {Sqrt[Cos[a + b*x]], x, 1, (2*EllipticE[(a + b*x)/2, 2])/b}
public void test02234() {
	check("Integrate[Sqrt[Cos[a + b*x]], x]", "(2*EllipticE[(a + b*x)/2, 2])/b");

}

// {x*Cos[a + b*x]^(3/2), x, 1, (4*Cos[a + b*x]^(3/2))/(9*b^2) + (2*x*Sqrt[Cos[a + b*x]]*Sin[a + b*x])/(3*b) + Unintegrable[x/Sqrt[Cos[a + b*x]], x]/3}
public void test02235() {
	check("Integrate[x*Cos[a + b*x]^(3/2), x]", "(4*Cos[a + b*x]^(3/2))/(9*b^2) + (2*x*Sqrt[Cos[a + b*x]]*Sin[a + b*x])/(3*b) + Unintegrable[x/Sqrt[Cos[a + b*x]], x]/3");

}

// {Cos[x]^(3/2)/x^3, x, 1, -Cos[x]^(3/2)/(2*x^2) + (3*Sqrt[Cos[x]]*Sin[x])/(4*x) + (3*Unintegrable[1/(x*Sqrt[Cos[x]]), x])/8 - (9*Unintegrable[Cos[x]^(3/2)/x, x])/8}
public void test02236() {
	check("Integrate[Cos[x]^(3/2)/x^3, x]", "-Cos[x]^(3/2)/(2*x^2) + (3*Sqrt[Cos[x]]*Sin[x])/(4*x) + (3*Unintegrable[1/(x*Sqrt[Cos[x]]), x])/8 - (9*Unintegrable[Cos[x]^(3/2)/x, x])/8");

}

// {1/Sqrt[Cos[a + b*x]], x, 1, (2*EllipticF[(a + b*x)/2, 2])/b}
public void test02237() {
	check("Integrate[1/Sqrt[Cos[a + b*x]], x]", "(2*EllipticF[(a + b*x)/2, 2])/b");

}

// {x/Cos[a + b*x]^(3/2), x, 1, (4*Sqrt[Cos[a + b*x]])/b^2 + (2*x*Sin[a + b*x])/(b*Sqrt[Cos[a + b*x]]) - Unintegrable[x*Sqrt[Cos[a + b*x]], x]}
public void test02238() {
	check("Integrate[x/Cos[a + b*x]^(3/2), x]", "(4*Sqrt[Cos[a + b*x]])/b^2 + (2*x*Sin[a + b*x])/(b*Sqrt[Cos[a + b*x]]) - Unintegrable[x*Sqrt[Cos[a + b*x]], x]");

}

// {Sqrt[a + a*Cos[c + d*x]], x, 1, (2*a*Sin[c + d*x])/(d*Sqrt[a + a*Cos[c + d*x]])}
public void test02239() {
	check("Integrate[Sqrt[a + a*Cos[c + d*x]], x]", "(2*a*Sin[c + d*x])/(d*Sqrt[a + a*Cos[c + d*x]])");

}

// {Sqrt[a + a*Cos[x]], x, 1, (2*a*Sin[x])/Sqrt[a + a*Cos[x]]}
public void test02240() {
	check("Integrate[Sqrt[a + a*Cos[x]], x]", "(2*a*Sin[x])/Sqrt[a + a*Cos[x]]");

}

// {Sqrt[a - a*Cos[x]], x, 1, (-2*a*Sin[x])/Sqrt[a - a*Cos[x]]}
public void test02241() {
	check("Integrate[Sqrt[a - a*Cos[x]], x]", "(-2*a*Sin[x])/Sqrt[a - a*Cos[x]]");

}

// {Sqrt[a + a*Cos[c + d*x]], x, 1, (2*a*Sin[c + d*x])/(d*Sqrt[a + a*Cos[c + d*x]])}
public void test02242() {
	check("Integrate[Sqrt[a + a*Cos[c + d*x]], x]", "(2*a*Sin[c + d*x])/(d*Sqrt[a + a*Cos[c + d*x]])");

}

// {(2 + 2*Cos[c + d*x])^n, x, 1, (2^(1/2 + 2*n)*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 - Cos[c + d*x])/2]*Sin[c + d*x])/(d*Sqrt[1 + Cos[c + d*x]])}
public void test02243() {
	check("Integrate[(2 + 2*Cos[c + d*x])^n, x]", "(2^(1/2 + 2*n)*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 - Cos[c + d*x])/2]*Sin[c + d*x])/(d*Sqrt[1 + Cos[c + d*x]])");

}

// {(2 - 2*Cos[c + d*x])^n, x, 1, -((2^(1/2 + 2*n)*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 + Cos[c + d*x])/2]*Sin[c + d*x])/(d*Sqrt[1 - Cos[c + d*x]]))}
public void test02244() {
	check("Integrate[(2 - 2*Cos[c + d*x])^n, x]", "-((2^(1/2 + 2*n)*Hypergeometric2F1[1/2, 1/2 - n, 3/2, (1 + Cos[c + d*x])/2]*Sin[c + d*x])/(d*Sqrt[1 - Cos[c + d*x]]))");

}

// {(5 + 3*Cos[c + d*x])^(-1), x, 1, x/4 - ArcTan[Sin[c + d*x]/(3 + Cos[c + d*x])]/(2*d)}
public void test02245() {
	check("Integrate[(5 + 3*Cos[c + d*x])^(-1), x]", "x/4 - ArcTan[Sin[c + d*x]/(3 + Cos[c + d*x])]/(2*d)");

}

// {(5 - 3*Cos[c + d*x])^(-1), x, 1, x/4 + ArcTan[Sin[c + d*x]/(3 - Cos[c + d*x])]/(2*d)}
public void test02246() {
	check("Integrate[(5 - 3*Cos[c + d*x])^(-1), x]", "x/4 + ArcTan[Sin[c + d*x]/(3 - Cos[c + d*x])]/(2*d)");

}

// {(-5 + 3*Cos[c + d*x])^(-1), x, 1, -x/4 - ArcTan[Sin[c + d*x]/(3 - Cos[c + d*x])]/(2*d)}
public void test02247() {
	check("Integrate[(-5 + 3*Cos[c + d*x])^(-1), x]", "-x/4 - ArcTan[Sin[c + d*x]/(3 - Cos[c + d*x])]/(2*d)");

}

// {(-5 - 3*Cos[c + d*x])^(-1), x, 1, -x/4 + ArcTan[Sin[c + d*x]/(3 + Cos[c + d*x])]/(2*d)}
public void test02248() {
	check("Integrate[(-5 - 3*Cos[c + d*x])^(-1), x]", "-x/4 + ArcTan[Sin[c + d*x]/(3 + Cos[c + d*x])]/(2*d)");

}

// {(e*x)^(-1 + 2*n)*(b*Cos[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Cos[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02249() {
	check("Integrate[(e*x)^(-1 + 2*n)*(b*Cos[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Cos[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {(e*x)^(-1 + 2*n)*(a + b*Cos[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Cos[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02250() {
	check("Integrate[(e*x)^(-1 + 2*n)*(a + b*Cos[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Cos[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {Cos[(a + b*x)^2], x, 1, (Sqrt[Pi/2]*FresnelC[Sqrt[2/Pi]*(a + b*x)])/b}
public void test02251() {
	check("Integrate[Cos[(a + b*x)^2], x]", "(Sqrt[Pi/2]*FresnelC[Sqrt[2/Pi]*(a + b*x)])/b");

}

// {(a + a*Cos[x])^(-1), x, 1, Sin[x]/(a + a*Cos[x])}
public void test02252() {
	check("Integrate[(a + a*Cos[x])^(-1), x]", "Sin[x]/(a + a*Cos[x])");

}

// {Sin[x]^2/(1 + Cos[x])^3, x, 1, Sin[x]^3/(3*(1 + Cos[x])^3)}
public void test02253() {
	check("Integrate[Sin[x]^2/(1 + Cos[x])^3, x]", "Sin[x]^3/(3*(1 + Cos[x])^3)");

}

// {Sin[x]^2/(1 - Cos[x])^3, x, 1, -Sin[x]^3/(3*(1 - Cos[x])^3)}
public void test02254() {
	check("Integrate[Sin[x]^2/(1 - Cos[x])^3, x]", "-Sin[x]^3/(3*(1 - Cos[x])^3)");

}

// {(a + b*Cos[e + f*x])^m*(g*Tan[e + f*x])^p, x, 1, (g*Cot[e + f*x])^p*(g*Tan[e + f*x])^p*Unintegrable[(a + b*Cos[e + f*x])^m/(g*Cot[e + f*x])^p, x]}
public void test02255() {
	check("Integrate[(a + b*Cos[e + f*x])^m*(g*Tan[e + f*x])^p, x]", "(g*Cot[e + f*x])^p*(g*Tan[e + f*x])^p*Unintegrable[(a + b*Cos[e + f*x])^m/(g*Cot[e + f*x])^p, x]");

}

// {Cos[c + d*x]*(a + a*Cos[c + d*x]), x, 1, (a*x)/2 + (a*Sin[c + d*x])/d + (a*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02256() {
	check("Integrate[Cos[c + d*x]*(a + a*Cos[c + d*x]), x]", "(a*x)/2 + (a*Sin[c + d*x])/d + (a*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(a + a*Cos[c + d*x])^2, x, 1, (3*a^2*x)/2 + (2*a^2*Sin[c + d*x])/d + (a^2*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02257() {
	check("Integrate[(a + a*Cos[c + d*x])^2, x]", "(3*a^2*x)/2 + (2*a^2*Sin[c + d*x])/d + (a^2*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(a + a*Cos[c + d*x])^(-1), x, 1, Sin[c + d*x]/(d*(a + a*Cos[c + d*x]))}
public void test02258() {
	check("Integrate[(a + a*Cos[c + d*x])^(-1), x]", "Sin[c + d*x]/(d*(a + a*Cos[c + d*x]))");

}

// {Sqrt[a + a*Cos[c + d*x]], x, 1, (2*a*Sin[c + d*x])/(d*Sqrt[a + a*Cos[c + d*x]])}
public void test02259() {
	check("Integrate[Sqrt[a + a*Cos[c + d*x]], x]", "(2*a*Sin[c + d*x])/(d*Sqrt[a + a*Cos[c + d*x]])");

}

// {Sqrt[a + a*Cos[c + d*x]]/Cos[c + d*x]^(3/2), x, 1, (2*a*Sin[c + d*x])/(d*Sqrt[Cos[c + d*x]]*Sqrt[a + a*Cos[c + d*x]])}
public void test02260() {
	check("Integrate[Sqrt[a + a*Cos[c + d*x]]/Cos[c + d*x]^(3/2), x]", "(2*a*Sin[c + d*x])/(d*Sqrt[Cos[c + d*x]]*Sqrt[a + a*Cos[c + d*x]])");

}

// {Sqrt[a - a*Cos[c + d*x]]/Cos[c + d*x]^(3/2), x, 1, (2*a*Sin[c + d*x])/(d*Sqrt[Cos[c + d*x]]*Sqrt[a - a*Cos[c + d*x]])}
public void test02261() {
	check("Integrate[Sqrt[a - a*Cos[c + d*x]]/Cos[c + d*x]^(3/2), x]", "(2*a*Sin[c + d*x])/(d*Sqrt[Cos[c + d*x]]*Sqrt[a - a*Cos[c + d*x]])");

}

// {Sqrt[1 - Cos[c + d*x]]/Cos[c + d*x]^(3/2), x, 1, (2*Sin[c + d*x])/(d*Sqrt[1 - Cos[c + d*x]]*Sqrt[Cos[c + d*x]])}
public void test02262() {
	check("Integrate[Sqrt[1 - Cos[c + d*x]]/Cos[c + d*x]^(3/2), x]", "(2*Sin[c + d*x])/(d*Sqrt[1 - Cos[c + d*x]]*Sqrt[Cos[c + d*x]])");

}

// {Cos[c + d*x]*(a + b*Cos[c + d*x]), x, 1, (b*x)/2 + (a*Sin[c + d*x])/d + (b*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02263() {
	check("Integrate[Cos[c + d*x]*(a + b*Cos[c + d*x]), x]", "(b*x)/2 + (a*Sin[c + d*x])/d + (b*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(a + b*Cos[c + d*x])^2, x, 1, ((2*a^2 + b^2)*x)/2 + (2*a*b*Sin[c + d*x])/d + (b^2*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02264() {
	check("Integrate[(a + b*Cos[c + d*x])^2, x]", "((2*a^2 + b^2)*x)/2 + (2*a*b*Sin[c + d*x])/d + (b^2*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {Sqrt[3 + 4*Cos[c + d*x]], x, 1, (2*Sqrt[7]*EllipticE[(c + d*x)/2, 8/7])/d}
public void test02265() {
	check("Integrate[Sqrt[3 + 4*Cos[c + d*x]], x]", "(2*Sqrt[7]*EllipticE[(c + d*x)/2, 8/7])/d");

}

// {Sqrt[3 - 4*Cos[c + d*x]], x, 1, (2*Sqrt[7]*EllipticE[(c + Pi + d*x)/2, 8/7])/d}
public void test02266() {
	check("Integrate[Sqrt[3 - 4*Cos[c + d*x]], x]", "(2*Sqrt[7]*EllipticE[(c + Pi + d*x)/2, 8/7])/d");

}

// {1/Sqrt[3 + 4*Cos[c + d*x]], x, 1, (2*EllipticF[(c + d*x)/2, 8/7])/(Sqrt[7]*d)}
public void test02267() {
	check("Integrate[1/Sqrt[3 + 4*Cos[c + d*x]], x]", "(2*EllipticF[(c + d*x)/2, 8/7])/(Sqrt[7]*d)");

}

// {Sec[c + d*x]/Sqrt[3 + 4*Cos[c + d*x]], x, 1, (2*EllipticPi[2, (c + d*x)/2, 8/7])/(Sqrt[7]*d)}
public void test02268() {
	check("Integrate[Sec[c + d*x]/Sqrt[3 + 4*Cos[c + d*x]], x]", "(2*EllipticPi[2, (c + d*x)/2, 8/7])/(Sqrt[7]*d)");

}

// {1/Sqrt[3 - 4*Cos[c + d*x]], x, 1, (2*EllipticF[(c + Pi + d*x)/2, 8/7])/(Sqrt[7]*d)}
public void test02269() {
	check("Integrate[1/Sqrt[3 - 4*Cos[c + d*x]], x]", "(2*EllipticF[(c + Pi + d*x)/2, 8/7])/(Sqrt[7]*d)");

}

// {Sec[c + d*x]/Sqrt[3 - 4*Cos[c + d*x]], x, 1, (-2*EllipticPi[2, (c + Pi + d*x)/2, 8/7])/(Sqrt[7]*d)}
public void test02270() {
	check("Integrate[Sec[c + d*x]/Sqrt[3 - 4*Cos[c + d*x]], x]", "(-2*EllipticPi[2, (c + Pi + d*x)/2, 8/7])/(Sqrt[7]*d)");

}

// {1/(Sqrt[Cos[c + d*x]]*(a + b*Cos[c + d*x])), x, 1, (2*EllipticPi[(2*b)/(a + b), (c + d*x)/2, 2])/((a + b)*d)}
public void test02271() {
	check("Integrate[1/(Sqrt[Cos[c + d*x]]*(a + b*Cos[c + d*x])), x]", "(2*EllipticPi[(2*b)/(a + b), (c + d*x)/2, 2])/((a + b)*d)");

}

// {Sqrt[a + b*Cos[c + d*x]]/Sqrt[Cos[c + d*x]], x, 1, (-2*Sqrt[(a*(1 - Cos[c + d*x]))/(a + b*Cos[c + d*x])]*Sqrt[(a*(1 + Cos[c + d*x]))/(a + b*Cos[c + d*x])]*(a + b*Cos[c + d*x])*Csc[c + d*x]*EllipticPi[b/(a + b), ArcSin[(Sqrt[a + b]*Sqrt[Cos[c + d*x]])/Sqrt[a + b*Cos[c + d*x]]], -((a - b)/(a + b))])/(Sqrt[a + b]*d)}
public void test02272() {
	check("Integrate[Sqrt[a + b*Cos[c + d*x]]/Sqrt[Cos[c + d*x]], x]", "(-2*Sqrt[(a*(1 - Cos[c + d*x]))/(a + b*Cos[c + d*x])]*Sqrt[(a*(1 + Cos[c + d*x]))/(a + b*Cos[c + d*x])]*(a + b*Cos[c + d*x])*Csc[c + d*x]*EllipticPi[b/(a + b), ArcSin[(Sqrt[a + b]*Sqrt[Cos[c + d*x]])/Sqrt[a + b*Cos[c + d*x]]], -((a - b)/(a + b))])/(Sqrt[a + b]*d)");

}

// {Sqrt[Cos[c + d*x]]/Sqrt[a + b*Cos[c + d*x]], x, 1, (-2*Sqrt[a + b]*Cot[c + d*x]*EllipticPi[(a + b)/b, ArcSin[Sqrt[a + b*Cos[c + d*x]]/(Sqrt[a + b]*Sqrt[Cos[c + d*x]])], -((a + b)/(a - b))]*Sqrt[(a*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[(a*(1 + Sec[c + d*x]))/(a - b)])/(b*d)}
public void test02273() {
	check("Integrate[Sqrt[Cos[c + d*x]]/Sqrt[a + b*Cos[c + d*x]], x]", "(-2*Sqrt[a + b]*Cot[c + d*x]*EllipticPi[(a + b)/b, ArcSin[Sqrt[a + b*Cos[c + d*x]]/(Sqrt[a + b]*Sqrt[Cos[c + d*x]])], -((a + b)/(a - b))]*Sqrt[(a*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[(a*(1 + Sec[c + d*x]))/(a - b)])/(b*d)");

}

// {1/(Sqrt[Cos[c + d*x]]*Sqrt[a + b*Cos[c + d*x]]), x, 1, (2*Sqrt[a + b]*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[a + b*Cos[c + d*x]]/(Sqrt[a + b]*Sqrt[Cos[c + d*x]])], -((a + b)/(a - b))]*Sqrt[(a*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[(a*(1 + Sec[c + d*x]))/(a - b)])/(a*d)}
public void test02274() {
	check("Integrate[1/(Sqrt[Cos[c + d*x]]*Sqrt[a + b*Cos[c + d*x]]), x]", "(2*Sqrt[a + b]*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[a + b*Cos[c + d*x]]/(Sqrt[a + b]*Sqrt[Cos[c + d*x]])], -((a + b)/(a - b))]*Sqrt[(a*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[(a*(1 + Sec[c + d*x]))/(a - b)])/(a*d)");

}

// {1/(Sqrt[Cos[c + d*x]]*Sqrt[2 + 3*Cos[c + d*x]]), x, 1, (2*EllipticF[ArcSin[Sin[c + d*x]/(1 + Cos[c + d*x])], 1/5])/(Sqrt[5]*d)}
public void test02275() {
	check("Integrate[1/(Sqrt[Cos[c + d*x]]*Sqrt[2 + 3*Cos[c + d*x]]), x]", "(2*EllipticF[ArcSin[Sin[c + d*x]/(1 + Cos[c + d*x])], 1/5])/(Sqrt[5]*d)");

}

// {1/(Sqrt[Cos[c + d*x]]*Sqrt[-2 + 3*Cos[c + d*x]]), x, 1, (2*EllipticF[ArcSin[Sin[c + d*x]/(1 + Cos[c + d*x])], 5])/d}
public void test02276() {
	check("Integrate[1/(Sqrt[Cos[c + d*x]]*Sqrt[-2 + 3*Cos[c + d*x]]), x]", "(2*EllipticF[ArcSin[Sin[c + d*x]/(1 + Cos[c + d*x])], 5])/d");

}

// {1/(Sqrt[Cos[c + d*x]]*Sqrt[3 + 2*Cos[c + d*x]]), x, 1, (2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[3 + 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], -5]*Sqrt[-Tan[c + d*x]^2])/d}
public void test02277() {
	check("Integrate[1/(Sqrt[Cos[c + d*x]]*Sqrt[3 + 2*Cos[c + d*x]]), x]", "(2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[3 + 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], -5]*Sqrt[-Tan[c + d*x]^2])/d");

}

// {1/(Sqrt[3 - 2*Cos[c + d*x]]*Sqrt[Cos[c + d*x]]), x, 1, (2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[3 - 2*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], -1/5]*Sqrt[-Tan[c + d*x]^2])/(Sqrt[5]*d)}
public void test02278() {
	check("Integrate[1/(Sqrt[3 - 2*Cos[c + d*x]]*Sqrt[Cos[c + d*x]]), x]", "(2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[3 - 2*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], -1/5]*Sqrt[-Tan[c + d*x]^2])/(Sqrt[5]*d)");

}

// {1/(Sqrt[2 - 3*Cos[c + d*x]]*Sqrt[-Cos[c + d*x]]), x, 1, (-2*EllipticF[ArcSin[Sin[c + d*x]/(1 - Cos[c + d*x])], 1/5])/(Sqrt[5]*d)}
public void test02279() {
	check("Integrate[1/(Sqrt[2 - 3*Cos[c + d*x]]*Sqrt[-Cos[c + d*x]]), x]", "(-2*EllipticF[ArcSin[Sin[c + d*x]/(1 - Cos[c + d*x])], 1/5])/(Sqrt[5]*d)");

}

// {1/(Sqrt[-2 - 3*Cos[c + d*x]]*Sqrt[-Cos[c + d*x]]), x, 1, (-2*EllipticF[ArcSin[Sin[c + d*x]/(1 - Cos[c + d*x])], 5])/d}
public void test02280() {
	check("Integrate[1/(Sqrt[-2 - 3*Cos[c + d*x]]*Sqrt[-Cos[c + d*x]]), x]", "(-2*EllipticF[ArcSin[Sin[c + d*x]/(1 - Cos[c + d*x])], 5])/d");

}

// {1/(Sqrt[-Cos[c + d*x]]*Sqrt[-3 + 2*Cos[c + d*x]]), x, 1, (-2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[-3 + 2*Cos[c + d*x]]/Sqrt[-Cos[c + d*x]]], -1/5]*Sqrt[-Tan[c + d*x]^2])/(Sqrt[5]*d)}
public void test02281() {
	check("Integrate[1/(Sqrt[-Cos[c + d*x]]*Sqrt[-3 + 2*Cos[c + d*x]]), x]", "(-2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[-3 + 2*Cos[c + d*x]]/Sqrt[-Cos[c + d*x]]], -1/5]*Sqrt[-Tan[c + d*x]^2])/(Sqrt[5]*d)");

}

// {1/(Sqrt[-3 - 2*Cos[c + d*x]]*Sqrt[-Cos[c + d*x]]), x, 1, (-2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[-3 - 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[-Cos[c + d*x]])], -5]*Sqrt[-Tan[c + d*x]^2])/d}
public void test02282() {
	check("Integrate[1/(Sqrt[-3 - 2*Cos[c + d*x]]*Sqrt[-Cos[c + d*x]]), x]", "(-2*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[-3 - 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[-Cos[c + d*x]])], -5]*Sqrt[-Tan[c + d*x]^2])/d");

}

// {Sqrt[Cos[c + d*x]]/Sqrt[2 + 3*Cos[c + d*x]], x, 1, (-4*Cot[c + d*x]*EllipticPi[5/3, ArcSin[Sqrt[2 + 3*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], 5]*Sqrt[-1 - Sec[c + d*x]]*Sqrt[1 - Sec[c + d*x]])/(3*d)}
public void test02283() {
	check("Integrate[Sqrt[Cos[c + d*x]]/Sqrt[2 + 3*Cos[c + d*x]], x]", "(-4*Cot[c + d*x]*EllipticPi[5/3, ArcSin[Sqrt[2 + 3*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], 5]*Sqrt[-1 - Sec[c + d*x]]*Sqrt[1 - Sec[c + d*x]])/(3*d)");

}

// {Sqrt[Cos[c + d*x]]/Sqrt[-2 + 3*Cos[c + d*x]], x, 1, (-4*Cot[c + d*x]*EllipticPi[1/3, ArcSin[Sqrt[-2 + 3*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], 1/5]*Sqrt[-1 + Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*Sqrt[5]*d)}
public void test02284() {
	check("Integrate[Sqrt[Cos[c + d*x]]/Sqrt[-2 + 3*Cos[c + d*x]], x]", "(-4*Cot[c + d*x]*EllipticPi[1/3, ArcSin[Sqrt[-2 + 3*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], 1/5]*Sqrt[-1 + Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*Sqrt[5]*d)");

}

// {Sqrt[Cos[c + d*x]]/Sqrt[3 + 2*Cos[c + d*x]], x, 1, (-3*Cot[c + d*x]*EllipticPi[5/2, ArcSin[Sqrt[3 + 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], -5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/d}
public void test02285() {
	check("Integrate[Sqrt[Cos[c + d*x]]/Sqrt[3 + 2*Cos[c + d*x]], x]", "(-3*Cot[c + d*x]*EllipticPi[5/2, ArcSin[Sqrt[3 + 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], -5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/d");

}

// {Sqrt[Cos[c + d*x]]/Sqrt[3 - 2*Cos[c + d*x]], x, 1, (3*Cot[c + d*x]*EllipticPi[-1/2, ArcSin[Sqrt[3 - 2*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], -1/5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(Sqrt[5]*d)}
public void test02286() {
	check("Integrate[Sqrt[Cos[c + d*x]]/Sqrt[3 - 2*Cos[c + d*x]], x]", "(3*Cot[c + d*x]*EllipticPi[-1/2, ArcSin[Sqrt[3 - 2*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], -1/5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(Sqrt[5]*d)");

}

// {Sqrt[-Cos[c + d*x]]/Sqrt[2 - 3*Cos[c + d*x]], x, 1, (-4*Cot[c + d*x]*EllipticPi[1/3, ArcSin[Sqrt[2 - 3*Cos[c + d*x]]/Sqrt[-Cos[c + d*x]]], 1/5]*Sqrt[-1 + Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*Sqrt[5]*d)}
public void test02287() {
	check("Integrate[Sqrt[-Cos[c + d*x]]/Sqrt[2 - 3*Cos[c + d*x]], x]", "(-4*Cot[c + d*x]*EllipticPi[1/3, ArcSin[Sqrt[2 - 3*Cos[c + d*x]]/Sqrt[-Cos[c + d*x]]], 1/5]*Sqrt[-1 + Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*Sqrt[5]*d)");

}

// {Sqrt[-Cos[c + d*x]]/Sqrt[-2 - 3*Cos[c + d*x]], x, 1, (-4*Cot[c + d*x]*EllipticPi[5/3, ArcSin[Sqrt[-2 - 3*Cos[c + d*x]]/(Sqrt[5]*Sqrt[-Cos[c + d*x]])], 5]*Sqrt[-1 - Sec[c + d*x]]*Sqrt[1 - Sec[c + d*x]])/(3*d)}
public void test02288() {
	check("Integrate[Sqrt[-Cos[c + d*x]]/Sqrt[-2 - 3*Cos[c + d*x]], x]", "(-4*Cot[c + d*x]*EllipticPi[5/3, ArcSin[Sqrt[-2 - 3*Cos[c + d*x]]/(Sqrt[5]*Sqrt[-Cos[c + d*x]])], 5]*Sqrt[-1 - Sec[c + d*x]]*Sqrt[1 - Sec[c + d*x]])/(3*d)");

}

// {Sqrt[-Cos[c + d*x]]/Sqrt[-3 + 2*Cos[c + d*x]], x, 1, (3*Cot[c + d*x]*EllipticPi[-1/2, ArcSin[Sqrt[-3 + 2*Cos[c + d*x]]/Sqrt[-Cos[c + d*x]]], -1/5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(Sqrt[5]*d)}
public void test02289() {
	check("Integrate[Sqrt[-Cos[c + d*x]]/Sqrt[-3 + 2*Cos[c + d*x]], x]", "(3*Cot[c + d*x]*EllipticPi[-1/2, ArcSin[Sqrt[-3 + 2*Cos[c + d*x]]/Sqrt[-Cos[c + d*x]]], -1/5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(Sqrt[5]*d)");

}

// {Sqrt[-Cos[c + d*x]]/Sqrt[-3 - 2*Cos[c + d*x]], x, 1, (-3*Cot[c + d*x]*EllipticPi[5/2, ArcSin[Sqrt[-3 - 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[-Cos[c + d*x]])], -5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/d}
public void test02290() {
	check("Integrate[Sqrt[-Cos[c + d*x]]/Sqrt[-3 - 2*Cos[c + d*x]], x]", "(-3*Cot[c + d*x]*EllipticPi[5/2, ArcSin[Sqrt[-3 - 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[-Cos[c + d*x]])], -5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/d");

}

// {(a + a*Cos[c + d*x])*(-B/2 + B*Cos[c + d*x]), x, 1, (a*B*Sin[c + d*x])/(2*d) + (a*B*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02291() {
	check("Integrate[(a + a*Cos[c + d*x])*(-B/2 + B*Cos[c + d*x]), x]", "(a*B*Sin[c + d*x])/(2*d) + (a*B*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(a + a*Cos[c + d*x])^4*((-4*B)/5 + B*Cos[c + d*x]), x, 1, (B*(a + a*Cos[c + d*x])^4*Sin[c + d*x])/(5*d)}
public void test02292() {
	check("Integrate[(a + a*Cos[c + d*x])^4*((-4*B)/5 + B*Cos[c + d*x]), x]", "(B*(a + a*Cos[c + d*x])^4*Sin[c + d*x])/(5*d)");

}

// {(a + a*Cos[c + d*x])^n*(-((B*n)/(1 + n)) + B*Cos[c + d*x]), x, 1, (B*(a + a*Cos[c + d*x])^n*Sin[c + d*x])/(d*(1 + n))}
public void test02293() {
	check("Integrate[(a + a*Cos[c + d*x])^n*(-((B*n)/(1 + n)) + B*Cos[c + d*x]), x]", "(B*(a + a*Cos[c + d*x])^n*Sin[c + d*x])/(d*(1 + n))");

}

// {((-3*B)/2 + B*Cos[c + d*x])/(a + a*Cos[c + d*x])^3, x, 1, -(B*Sin[c + d*x])/(2*d*(a + a*Cos[c + d*x])^3)}
public void test02294() {
	check("Integrate[((-3*B)/2 + B*Cos[c + d*x])/(a + a*Cos[c + d*x])^3, x]", "-(B*Sin[c + d*x])/(2*d*(a + a*Cos[c + d*x])^3)");

}

// {(a + a*Cos[c + d*x])^(3/2)*((-3*B)/5 + B*Cos[c + d*x]), x, 1, (2*B*(a + a*Cos[c + d*x])^(3/2)*Sin[c + d*x])/(5*d)}
public void test02295() {
	check("Integrate[(a + a*Cos[c + d*x])^(3/2)*((-3*B)/5 + B*Cos[c + d*x]), x]", "(2*B*(a + a*Cos[c + d*x])^(3/2)*Sin[c + d*x])/(5*d)");

}

// {((-5*B)/3 + B*Cos[c + d*x])/(a + a*Cos[c + d*x])^(5/2), x, 1, (-2*B*Sin[c + d*x])/(3*d*(a + a*Cos[c + d*x])^(5/2))}
public void test02296() {
	check("Integrate[((-5*B)/3 + B*Cos[c + d*x])/(a + a*Cos[c + d*x])^(5/2), x]", "(-2*B*Sin[c + d*x])/(3*d*(a + a*Cos[c + d*x])^(5/2))");

}

// {(a + a*Cos[c + d*x])*(A + B*Cos[c + d*x]), x, 1, (a*(2*A + B)*x)/2 + (a*(A + B)*Sin[c + d*x])/d + (a*B*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02297() {
	check("Integrate[(a + a*Cos[c + d*x])*(A + B*Cos[c + d*x]), x]", "(a*(2*A + B)*x)/2 + (a*(A + B)*Sin[c + d*x])/d + (a*B*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(a + b*Cos[c + d*x])*(A + B*Cos[c + d*x]), x, 1, ((2*a*A + b*B)*x)/2 + ((A*b + a*B)*Sin[c + d*x])/d + (b*B*Cos[c + d*x]*Sin[c + d*x])/(2*d)}
public void test02298() {
	check("Integrate[(a + b*Cos[c + d*x])*(A + B*Cos[c + d*x]), x]", "((2*a*A + b*B)*x)/2 + ((A*b + a*B)*Sin[c + d*x])/d + (b*B*Cos[c + d*x]*Sin[c + d*x])/(2*d)");

}

// {(1 + Cos[c + d*x])/(Cos[c + d*x]^(3/2)*Sqrt[2 + 3*Cos[c + d*x]]), x, 1, -((Cot[c + d*x]*EllipticE[ArcSin[Sqrt[2 + 3*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], 5]*Sqrt[-1 - Sec[c + d*x]]*Sqrt[1 - Sec[c + d*x]])/d)}
public void test02299() {
	check("Integrate[(1 + Cos[c + d*x])/(Cos[c + d*x]^(3/2)*Sqrt[2 + 3*Cos[c + d*x]]), x]", "-((Cot[c + d*x]*EllipticE[ArcSin[Sqrt[2 + 3*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], 5]*Sqrt[-1 - Sec[c + d*x]]*Sqrt[1 - Sec[c + d*x]])/d)");

}

// {(1 + Cos[c + d*x])/(Cos[c + d*x]^(3/2)*Sqrt[-2 + 3*Cos[c + d*x]]), x, 1, -((Sqrt[5]*Cot[c + d*x]*EllipticE[ArcSin[Sqrt[-2 + 3*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], 1/5]*Sqrt[-1 + Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/d)}
public void test02300() {
	check("Integrate[(1 + Cos[c + d*x])/(Cos[c + d*x]^(3/2)*Sqrt[-2 + 3*Cos[c + d*x]]), x]", "-((Sqrt[5]*Cot[c + d*x]*EllipticE[ArcSin[Sqrt[-2 + 3*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], 1/5]*Sqrt[-1 + Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/d)");

}

// {(1 + Cos[c + d*x])/(Cos[c + d*x]^(3/2)*Sqrt[3 + 2*Cos[c + d*x]]), x, 1, (2*Cot[c + d*x]*EllipticE[ArcSin[Sqrt[3 + 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], -5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*d)}
public void test02301() {
	check("Integrate[(1 + Cos[c + d*x])/(Cos[c + d*x]^(3/2)*Sqrt[3 + 2*Cos[c + d*x]]), x]", "(2*Cot[c + d*x]*EllipticE[ArcSin[Sqrt[3 + 2*Cos[c + d*x]]/(Sqrt[5]*Sqrt[Cos[c + d*x]])], -5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*d)");

}

// {(1 + Cos[c + d*x])/(Sqrt[3 - 2*Cos[c + d*x]]*Cos[c + d*x]^(3/2)), x, 1, (2*Sqrt[5]*Cot[c + d*x]*EllipticE[ArcSin[Sqrt[3 - 2*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], -1/5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*d)}
public void test02302() {
	check("Integrate[(1 + Cos[c + d*x])/(Sqrt[3 - 2*Cos[c + d*x]]*Cos[c + d*x]^(3/2)), x]", "(2*Sqrt[5]*Cot[c + d*x]*EllipticE[ArcSin[Sqrt[3 - 2*Cos[c + d*x]]/Sqrt[Cos[c + d*x]]], -1/5]*Sqrt[1 - Sec[c + d*x]]*Sqrt[1 + Sec[c + d*x]])/(3*d)");

}

// {(c*Cos[e + f*x])^m*(a + b*Cos[e + f*x])^(3/2)*(A + B*Cos[e + f*x]), x, 1, (2*b*B*(c*Cos[e + f*x])^(1 + m)*Sqrt[a + b*Cos[e + f*x]]*Sin[e + f*x])/(c*f*(5 + 2*m)) + (2*Unintegrable[((c*Cos[e + f*x])^m*((a*c*(2*b*B*(1 + m) + 2*a*A*(5/2 + m)))/2 + (c*(b^2*B*(3 + 2*m) + a*(2*A*b + a*B)*(5 + 2*m))*Cos[e + f*x])/2 + (b*c*(2*a*B*(3 + m) + A*b*(5 + 2*m))*Cos[e + f*x]^2)/2))/Sqrt[a + b*Cos[e + f*x]], x])/(c*(5 + 2*m))}
public void test02303() {
	check("Integrate[(c*Cos[e + f*x])^m*(a + b*Cos[e + f*x])^(3/2)*(A + B*Cos[e + f*x]), x]", "(2*b*B*(c*Cos[e + f*x])^(1 + m)*Sqrt[a + b*Cos[e + f*x]]*Sin[e + f*x])/(c*f*(5 + 2*m)) + (2*Unintegrable[((c*Cos[e + f*x])^m*((a*c*(2*b*B*(1 + m) + 2*a*A*(5/2 + m)))/2 + (c*(b^2*B*(3 + 2*m) + a*(2*A*b + a*B)*(5 + 2*m))*Cos[e + f*x])/2 + (b*c*(2*a*B*(3 + m) + A*b*(5 + 2*m))*Cos[e + f*x]^2)/2))/Sqrt[a + b*Cos[e + f*x]], x])/(c*(5 + 2*m))");

}

// {((c*Cos[e + f*x])^m*(A + B*Cos[e + f*x]))/(a + b*Cos[e + f*x])^(3/2), x, 1, (2*b*(A*b - a*B)*(c*Cos[e + f*x])^(1 + m)*Sin[e + f*x])/(a*(a^2 - b^2)*c*f*Sqrt[a + b*Cos[e + f*x]]) + (2*Unintegrable[((c*Cos[e + f*x])^m*((c*(a*(a*A - b*B) + 2*b*(A*b - a*B)*(1/2 + m)))/2 - (a*(A*b - a*B)*c*Cos[e + f*x])/2 - (b*(A*b - a*B)*c*(3 + 2*m)*Cos[e + f*x]^2)/2))/Sqrt[a + b*Cos[e + f*x]], x])/(a*(a^2 - b^2)*c)}
public void test02304() {
	check("Integrate[((c*Cos[e + f*x])^m*(A + B*Cos[e + f*x]))/(a + b*Cos[e + f*x])^(3/2), x]", "(2*b*(A*b - a*B)*(c*Cos[e + f*x])^(1 + m)*Sin[e + f*x])/(a*(a^2 - b^2)*c*f*Sqrt[a + b*Cos[e + f*x]]) + (2*Unintegrable[((c*Cos[e + f*x])^m*((c*(a*(a*A - b*B) + 2*b*(A*b - a*B)*(1/2 + m)))/2 - (a*(A*b - a*B)*c*Cos[e + f*x])/2 - (b*(A*b - a*B)*c*(3 + 2*m)*Cos[e + f*x]^2)/2))/Sqrt[a + b*Cos[e + f*x]], x])/(a*(a^2 - b^2)*c)");

}

// {(a + b*Cos[e + f*x])^n*(A + B*Cos[e + f*x])*(c*Sec[e + f*x])^m, x, 1, (c*Cos[e + f*x])^m*(c*Sec[e + f*x])^m*Unintegrable[((a + b*Cos[e + f*x])^n*(A + B*Cos[e + f*x]))/(c*Cos[e + f*x])^m, x]}
public void test02305() {
	check("Integrate[(a + b*Cos[e + f*x])^n*(A + B*Cos[e + f*x])*(c*Sec[e + f*x])^m, x]", "(c*Cos[e + f*x])^m*(c*Sec[e + f*x])^m*Unintegrable[((a + b*Cos[e + f*x])^n*(A + B*Cos[e + f*x]))/(c*Cos[e + f*x])^m, x]");

}

// {Sqrt[a + b*Cos[e + f*x]]*(A + B*Cos[e + f*x])*(c*Sec[e + f*x])^m, x, 1, (c*Cos[e + f*x])^m*(c*Sec[e + f*x])^m*Unintegrable[(Sqrt[a + b*Cos[e + f*x]]*(A + B*Cos[e + f*x]))/(c*Cos[e + f*x])^m, x]}
public void test02306() {
	check("Integrate[Sqrt[a + b*Cos[e + f*x]]*(A + B*Cos[e + f*x])*(c*Sec[e + f*x])^m, x]", "(c*Cos[e + f*x])^m*(c*Sec[e + f*x])^m*Unintegrable[(Sqrt[a + b*Cos[e + f*x]]*(A + B*Cos[e + f*x]))/(c*Cos[e + f*x])^m, x]");

}

// {((A + B*Cos[e + f*x])*(c*Sec[e + f*x])^m)/Sqrt[a + b*Cos[e + f*x]], x, 1, (c*Cos[e + f*x])^m*(c*Sec[e + f*x])^m*Unintegrable[(A + B*Cos[e + f*x])/((c*Cos[e + f*x])^m*Sqrt[a + b*Cos[e + f*x]]), x]}
public void test02307() {
	check("Integrate[((A + B*Cos[e + f*x])*(c*Sec[e + f*x])^m)/Sqrt[a + b*Cos[e + f*x]], x]", "(c*Cos[e + f*x])^m*(c*Sec[e + f*x])^m*Unintegrable[(A + B*Cos[e + f*x])/((c*Cos[e + f*x])^m*Sqrt[a + b*Cos[e + f*x]]), x]");

}

// {Sqrt[Cos[c + d*x]]*(3 - 5*Cos[c + d*x]^2), x, 1, (-2*Cos[c + d*x]^(3/2)*Sin[c + d*x])/d}
public void test02308() {
	check("Integrate[Sqrt[Cos[c + d*x]]*(3 - 5*Cos[c + d*x]^2), x]", "(-2*Cos[c + d*x]^(3/2)*Sin[c + d*x])/d");

}

// {(1 - 3*Cos[c + d*x]^2)/Sqrt[Cos[c + d*x]], x, 1, (-2*Sqrt[Cos[c + d*x]]*Sin[c + d*x])/d}
public void test02309() {
	check("Integrate[(1 - 3*Cos[c + d*x]^2)/Sqrt[Cos[c + d*x]], x]", "(-2*Sqrt[Cos[c + d*x]]*Sin[c + d*x])/d");

}

// {(b*Cos[c + d*x])^m*(-((C*(1 + m))/(2 + m)) + C*Cos[c + d*x]^2), x, 1, (C*(b*Cos[c + d*x])^(1 + m)*Sin[c + d*x])/(b*d*(2 + m))}
public void test02310() {
	check("Integrate[(b*Cos[c + d*x])^m*(-((C*(1 + m))/(2 + m)) + C*Cos[c + d*x]^2), x]", "(C*(b*Cos[c + d*x])^(1 + m)*Sin[c + d*x])/(b*d*(2 + m))");

}

// {(b*Cos[c + d*x])^m*(A - (A*(2 + m)*Cos[c + d*x]^2)/(1 + m)), x, 1, -((A*(b*Cos[c + d*x])^(1 + m)*Sin[c + d*x])/(b*d*(1 + m)))}
public void test02311() {
	check("Integrate[(b*Cos[c + d*x])^m*(A - (A*(2 + m)*Cos[c + d*x]^2)/(1 + m)), x]", "-((A*(b*Cos[c + d*x])^(1 + m)*Sin[c + d*x])/(b*d*(1 + m)))");

}

// {Sqrt[1 + Cos[x]^2], x, 1, EllipticE[Pi/2 + x, -1]}
public void test02312() {
	check("Integrate[Sqrt[1 + Cos[x]^2], x]", "EllipticE[Pi/2 + x, -1]");

}

// {1/Sqrt[1 + Cos[x]^2], x, 1, EllipticF[Pi/2 + x, -1]}
public void test02313() {
	check("Integrate[1/Sqrt[1 + Cos[x]^2], x]", "EllipticF[Pi/2 + x, -1]");

}

// {Tan[c + d*x], x, 1, -(Log[Cos[c + d*x]]/d)}
public void test02314() {
	check("Integrate[Tan[c + d*x], x]", "-(Log[Cos[c + d*x]]/d)");

}

// {Sqrt[a*Sin[e + f*x]]*Sqrt[b*Tan[e + f*x]], x, 1, (-2*b*Sqrt[a*Sin[e + f*x]])/(f*Sqrt[b*Tan[e + f*x]])}
public void test02315() {
	check("Integrate[Sqrt[a*Sin[e + f*x]]*Sqrt[b*Tan[e + f*x]], x]", "(-2*b*Sqrt[a*Sin[e + f*x]])/(f*Sqrt[b*Tan[e + f*x]])");

}

// {(b*Tan[e + f*x])^(3/2)/Sqrt[a*Sin[e + f*x]], x, 1, (2*b*Sqrt[b*Tan[e + f*x]])/(f*Sqrt[a*Sin[e + f*x]])}
public void test02316() {
	check("Integrate[(b*Tan[e + f*x])^(3/2)/Sqrt[a*Sin[e + f*x]], x]", "(2*b*Sqrt[b*Tan[e + f*x]])/(f*Sqrt[a*Sin[e + f*x]])");

}

// {(a*Sin[e + f*x])^(3/2)/Sqrt[b*Tan[e + f*x]], x, 1, (-2*b*(a*Sin[e + f*x])^(3/2))/(3*f*(b*Tan[e + f*x])^(3/2))}
public void test02317() {
	check("Integrate[(a*Sin[e + f*x])^(3/2)/Sqrt[b*Tan[e + f*x]], x]", "(-2*b*(a*Sin[e + f*x])^(3/2))/(3*f*(b*Tan[e + f*x])^(3/2))");

}

// {(a*Sin[e + f*x])^(5/2)/(b*Tan[e + f*x])^(3/2), x, 1, (-2*b*(a*Sin[e + f*x])^(5/2))/(5*f*(b*Tan[e + f*x])^(5/2))}
public void test02318() {
	check("Integrate[(a*Sin[e + f*x])^(5/2)/(b*Tan[e + f*x])^(3/2), x]", "(-2*b*(a*Sin[e + f*x])^(5/2))/(5*f*(b*Tan[e + f*x])^(5/2))");

}

// {(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^2, x, 1, ((Cos[e + f*x]^2)^(13/6)*Hypergeometric2F1[3/2, 13/6, 5/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^3)/(3*f)}
public void test02319() {
	check("Integrate[(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^2, x]", "((Cos[e + f*x]^2)^(13/6)*Hypergeometric2F1[3/2, 13/6, 5/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^3)/(3*f)");

}

// {(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^2, x, 1, ((Cos[e + f*x]^2)^(11/6)*Hypergeometric2F1[3/2, 11/6, 5/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^3)/(3*f)}
public void test02320() {
	check("Integrate[(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^2, x]", "((Cos[e + f*x]^2)^(11/6)*Hypergeometric2F1[3/2, 11/6, 5/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^3)/(3*f)");

}

// {(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^2, x, 1, ((Cos[e + f*x]^2)^(5/3)*Hypergeometric2F1[3/2, 5/3, 5/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^3)/(3*f)}
public void test02321() {
	check("Integrate[(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^2, x]", "((Cos[e + f*x]^2)^(5/3)*Hypergeometric2F1[3/2, 5/3, 5/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^3)/(3*f)");

}

// {Tan[e + f*x]^2/(d*Sec[e + f*x])^(1/3), x, 1, ((Cos[e + f*x]^2)^(4/3)*Hypergeometric2F1[4/3, 3/2, 5/2, Sin[e + f*x]^2]*Tan[e + f*x]^3)/(3*f*(d*Sec[e + f*x])^(1/3))}
public void test02322() {
	check("Integrate[Tan[e + f*x]^2/(d*Sec[e + f*x])^(1/3), x]", "((Cos[e + f*x]^2)^(4/3)*Hypergeometric2F1[4/3, 3/2, 5/2, Sin[e + f*x]^2]*Tan[e + f*x]^3)/(3*f*(d*Sec[e + f*x])^(1/3))");

}

// {Tan[e + f*x]^2/(d*Sec[e + f*x])^(2/3), x, 1, ((Cos[e + f*x]^2)^(7/6)*Hypergeometric2F1[7/6, 3/2, 5/2, Sin[e + f*x]^2]*Tan[e + f*x]^3)/(3*f*(d*Sec[e + f*x])^(2/3))}
public void test02323() {
	check("Integrate[Tan[e + f*x]^2/(d*Sec[e + f*x])^(2/3), x]", "((Cos[e + f*x]^2)^(7/6)*Hypergeometric2F1[7/6, 3/2, 5/2, Sin[e + f*x]^2]*Tan[e + f*x]^3)/(3*f*(d*Sec[e + f*x])^(2/3))");

}

// {(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^4, x, 1, ((Cos[e + f*x]^2)^(19/6)*Hypergeometric2F1[5/2, 19/6, 7/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^5)/(5*f)}
public void test02324() {
	check("Integrate[(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^4, x]", "((Cos[e + f*x]^2)^(19/6)*Hypergeometric2F1[5/2, 19/6, 7/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(4/3)*Tan[e + f*x]^5)/(5*f)");

}

// {(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^4, x, 1, ((Cos[e + f*x]^2)^(17/6)*Hypergeometric2F1[5/2, 17/6, 7/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^5)/(5*f)}
public void test02325() {
	check("Integrate[(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^4, x]", "((Cos[e + f*x]^2)^(17/6)*Hypergeometric2F1[5/2, 17/6, 7/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(2/3)*Tan[e + f*x]^5)/(5*f)");

}

// {(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^4, x, 1, ((Cos[e + f*x]^2)^(8/3)*Hypergeometric2F1[5/2, 8/3, 7/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^5)/(5*f)}
public void test02326() {
	check("Integrate[(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^4, x]", "((Cos[e + f*x]^2)^(8/3)*Hypergeometric2F1[5/2, 8/3, 7/2, Sin[e + f*x]^2]*(d*Sec[e + f*x])^(1/3)*Tan[e + f*x]^5)/(5*f)");

}

// {Tan[e + f*x]^4/(d*Sec[e + f*x])^(1/3), x, 1, ((Cos[e + f*x]^2)^(7/3)*Hypergeometric2F1[7/3, 5/2, 7/2, Sin[e + f*x]^2]*Tan[e + f*x]^5)/(5*f*(d*Sec[e + f*x])^(1/3))}
public void test02327() {
	check("Integrate[Tan[e + f*x]^4/(d*Sec[e + f*x])^(1/3), x]", "((Cos[e + f*x]^2)^(7/3)*Hypergeometric2F1[7/3, 5/2, 7/2, Sin[e + f*x]^2]*Tan[e + f*x]^5)/(5*f*(d*Sec[e + f*x])^(1/3))");

}

// {Tan[e + f*x]^4/(d*Sec[e + f*x])^(2/3), x, 1, ((Cos[e + f*x]^2)^(13/6)*Hypergeometric2F1[13/6, 5/2, 7/2, Sin[e + f*x]^2]*Tan[e + f*x]^5)/(5*f*(d*Sec[e + f*x])^(2/3))}
public void test02328() {
	check("Integrate[Tan[e + f*x]^4/(d*Sec[e + f*x])^(2/3), x]", "((Cos[e + f*x]^2)^(13/6)*Hypergeometric2F1[13/6, 5/2, 7/2, Sin[e + f*x]^2]*Tan[e + f*x]^5)/(5*f*(d*Sec[e + f*x])^(2/3))");

}

// {Sqrt[b*Tan[e + f*x]]/(d*Sec[e + f*x])^(3/2), x, 1, (2*(b*Tan[e + f*x])^(3/2))/(3*b*f*(d*Sec[e + f*x])^(3/2))}
public void test02329() {
	check("Integrate[Sqrt[b*Tan[e + f*x]]/(d*Sec[e + f*x])^(3/2), x]", "(2*(b*Tan[e + f*x])^(3/2))/(3*b*f*(d*Sec[e + f*x])^(3/2))");

}

// {(b*Tan[e + f*x])^(3/2)/(d*Sec[e + f*x])^(5/2), x, 1, (2*(b*Tan[e + f*x])^(5/2))/(5*b*f*(d*Sec[e + f*x])^(5/2))}
public void test02330() {
	check("Integrate[(b*Tan[e + f*x])^(3/2)/(d*Sec[e + f*x])^(5/2), x]", "(2*(b*Tan[e + f*x])^(5/2))/(5*b*f*(d*Sec[e + f*x])^(5/2))");

}

// {(b*Tan[e + f*x])^(5/2)/(d*Sec[e + f*x])^(7/2), x, 1, (2*(b*Tan[e + f*x])^(7/2))/(7*b*f*(d*Sec[e + f*x])^(7/2))}
public void test02331() {
	check("Integrate[(b*Tan[e + f*x])^(5/2)/(d*Sec[e + f*x])^(7/2), x]", "(2*(b*Tan[e + f*x])^(7/2))/(7*b*f*(d*Sec[e + f*x])^(7/2))");

}

// {1/(Sqrt[d*Sec[e + f*x]]*Sqrt[b*Tan[e + f*x]]), x, 1, (2*Sqrt[b*Tan[e + f*x]])/(b*f*Sqrt[d*Sec[e + f*x]])}
public void test02332() {
	check("Integrate[1/(Sqrt[d*Sec[e + f*x]]*Sqrt[b*Tan[e + f*x]]), x]", "(2*Sqrt[b*Tan[e + f*x]])/(b*f*Sqrt[d*Sec[e + f*x]])");

}

// {Sqrt[d*Sec[e + f*x]]/(b*Tan[e + f*x])^(3/2), x, 1, (-2*Sqrt[d*Sec[e + f*x]])/(b*f*Sqrt[b*Tan[e + f*x]])}
public void test02333() {
	check("Integrate[Sqrt[d*Sec[e + f*x]]/(b*Tan[e + f*x])^(3/2), x]", "(-2*Sqrt[d*Sec[e + f*x]])/(b*f*Sqrt[b*Tan[e + f*x]])");

}

// {(d*Sec[e + f*x])^(3/2)/(b*Tan[e + f*x])^(5/2), x, 1, (-2*(d*Sec[e + f*x])^(3/2))/(3*b*f*(b*Tan[e + f*x])^(3/2))}
public void test02334() {
	check("Integrate[(d*Sec[e + f*x])^(3/2)/(b*Tan[e + f*x])^(5/2), x]", "(-2*(d*Sec[e + f*x])^(3/2))/(3*b*f*(b*Tan[e + f*x])^(3/2))");

}

// {(b*Sec[e + f*x])^(4/3)*Sqrt[d*Tan[e + f*x]], x, 1, (2*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[3/4, 17/12, 7/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(4/3)*(d*Tan[e + f*x])^(3/2))/(3*d*f)}
public void test02335() {
	check("Integrate[(b*Sec[e + f*x])^(4/3)*Sqrt[d*Tan[e + f*x]], x]", "(2*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[3/4, 17/12, 7/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(4/3)*(d*Tan[e + f*x])^(3/2))/(3*d*f)");

}

// {(b*Sec[e + f*x])^(1/3)*Sqrt[d*Tan[e + f*x]], x, 1, (2*(Cos[e + f*x]^2)^(11/12)*Hypergeometric2F1[3/4, 11/12, 7/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(1/3)*(d*Tan[e + f*x])^(3/2))/(3*d*f)}
public void test02336() {
	check("Integrate[(b*Sec[e + f*x])^(1/3)*Sqrt[d*Tan[e + f*x]], x]", "(2*(Cos[e + f*x]^2)^(11/12)*Hypergeometric2F1[3/4, 11/12, 7/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(1/3)*(d*Tan[e + f*x])^(3/2))/(3*d*f)");

}

// {Sqrt[d*Tan[e + f*x]]/(b*Sec[e + f*x])^(1/3), x, 1, (2*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[7/12, 3/4, 7/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(3/2))/(3*d*f*(b*Sec[e + f*x])^(1/3))}
public void test02337() {
	check("Integrate[Sqrt[d*Tan[e + f*x]]/(b*Sec[e + f*x])^(1/3), x]", "(2*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[7/12, 3/4, 7/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(3/2))/(3*d*f*(b*Sec[e + f*x])^(1/3))");

}

// {Sqrt[d*Tan[e + f*x]]/(b*Sec[e + f*x])^(4/3), x, 1, (2*(Cos[e + f*x]^2)^(1/12)*Hypergeometric2F1[1/12, 3/4, 7/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(3/2))/(3*d*f*(b*Sec[e + f*x])^(4/3))}
public void test02338() {
	check("Integrate[Sqrt[d*Tan[e + f*x]]/(b*Sec[e + f*x])^(4/3), x]", "(2*(Cos[e + f*x]^2)^(1/12)*Hypergeometric2F1[1/12, 3/4, 7/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(3/2))/(3*d*f*(b*Sec[e + f*x])^(4/3))");

}

// {(b*Sec[e + f*x])^(4/3)*(d*Tan[e + f*x])^(3/2), x, 1, (2*(Cos[e + f*x]^2)^(23/12)*Hypergeometric2F1[5/4, 23/12, 9/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(4/3)*(d*Tan[e + f*x])^(5/2))/(5*d*f)}
public void test02339() {
	check("Integrate[(b*Sec[e + f*x])^(4/3)*(d*Tan[e + f*x])^(3/2), x]", "(2*(Cos[e + f*x]^2)^(23/12)*Hypergeometric2F1[5/4, 23/12, 9/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(4/3)*(d*Tan[e + f*x])^(5/2))/(5*d*f)");

}

// {(b*Sec[e + f*x])^(1/3)*(d*Tan[e + f*x])^(3/2), x, 1, (2*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[5/4, 17/12, 9/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(1/3)*(d*Tan[e + f*x])^(5/2))/(5*d*f)}
public void test02340() {
	check("Integrate[(b*Sec[e + f*x])^(1/3)*(d*Tan[e + f*x])^(3/2), x]", "(2*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[5/4, 17/12, 9/4, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(1/3)*(d*Tan[e + f*x])^(5/2))/(5*d*f)");

}

// {(d*Tan[e + f*x])^(3/2)/(b*Sec[e + f*x])^(1/3), x, 1, (2*(Cos[e + f*x]^2)^(13/12)*Hypergeometric2F1[13/12, 5/4, 9/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(5/2))/(5*d*f*(b*Sec[e + f*x])^(1/3))}
public void test02341() {
	check("Integrate[(d*Tan[e + f*x])^(3/2)/(b*Sec[e + f*x])^(1/3), x]", "(2*(Cos[e + f*x]^2)^(13/12)*Hypergeometric2F1[13/12, 5/4, 9/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(5/2))/(5*d*f*(b*Sec[e + f*x])^(1/3))");

}

// {(d*Tan[e + f*x])^(3/2)/(b*Sec[e + f*x])^(4/3), x, 1, (2*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[7/12, 5/4, 9/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(5/2))/(5*d*f*(b*Sec[e + f*x])^(4/3))}
public void test02342() {
	check("Integrate[(d*Tan[e + f*x])^(3/2)/(b*Sec[e + f*x])^(4/3), x]", "(2*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[7/12, 5/4, 9/4, Sin[e + f*x]^2]*(d*Tan[e + f*x])^(5/2))/(5*d*f*(b*Sec[e + f*x])^(4/3))");

}

// {Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(4/3), x, 1, (3*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[7/6, 17/12, 13/6, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(7/3))/(7*d*f)}
public void test02343() {
	check("Integrate[Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(4/3), x]", "(3*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[7/6, 17/12, 13/6, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(7/3))/(7*d*f)");

}

// {Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(1/3), x, 1, (3*(Cos[e + f*x]^2)^(11/12)*Hypergeometric2F1[2/3, 11/12, 5/3, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(4/3))/(4*d*f)}
public void test02344() {
	check("Integrate[Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(1/3), x]", "(3*(Cos[e + f*x]^2)^(11/12)*Hypergeometric2F1[2/3, 11/12, 5/3, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(4/3))/(4*d*f)");

}

// {Sqrt[b*Sec[e + f*x]]/(d*Tan[e + f*x])^(1/3), x, 1, (3*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[1/3, 7/12, 4/3, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(2/3))/(2*d*f)}
public void test02345() {
	check("Integrate[Sqrt[b*Sec[e + f*x]]/(d*Tan[e + f*x])^(1/3), x]", "(3*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[1/3, 7/12, 4/3, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]]*(d*Tan[e + f*x])^(2/3))/(2*d*f)");

}

// {Sqrt[b*Sec[e + f*x]]/(d*Tan[e + f*x])^(4/3), x, 1, (-3*(Cos[e + f*x]^2)^(1/12)*Hypergeometric2F1[-1/6, 1/12, 5/6, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]])/(d*f*(d*Tan[e + f*x])^(1/3))}
public void test02346() {
	check("Integrate[Sqrt[b*Sec[e + f*x]]/(d*Tan[e + f*x])^(4/3), x]", "(-3*(Cos[e + f*x]^2)^(1/12)*Hypergeometric2F1[-1/6, 1/12, 5/6, Sin[e + f*x]^2]*Sqrt[b*Sec[e + f*x]])/(d*f*(d*Tan[e + f*x])^(1/3))");

}

// {(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(4/3), x, 1, (3*(Cos[e + f*x]^2)^(23/12)*Hypergeometric2F1[7/6, 23/12, 13/6, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(7/3))/(7*d*f)}
public void test02347() {
	check("Integrate[(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(4/3), x]", "(3*(Cos[e + f*x]^2)^(23/12)*Hypergeometric2F1[7/6, 23/12, 13/6, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(7/3))/(7*d*f)");

}

// {(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(1/3), x, 1, (3*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[2/3, 17/12, 5/3, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(4/3))/(4*d*f)}
public void test02348() {
	check("Integrate[(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(1/3), x]", "(3*(Cos[e + f*x]^2)^(17/12)*Hypergeometric2F1[2/3, 17/12, 5/3, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(4/3))/(4*d*f)");

}

// {(b*Sec[e + f*x])^(3/2)/(d*Tan[e + f*x])^(1/3), x, 1, (3*(Cos[e + f*x]^2)^(13/12)*Hypergeometric2F1[1/3, 13/12, 4/3, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(2/3))/(2*d*f)}
public void test02349() {
	check("Integrate[(b*Sec[e + f*x])^(3/2)/(d*Tan[e + f*x])^(1/3), x]", "(3*(Cos[e + f*x]^2)^(13/12)*Hypergeometric2F1[1/3, 13/12, 4/3, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2)*(d*Tan[e + f*x])^(2/3))/(2*d*f)");

}

// {(b*Sec[e + f*x])^(3/2)/(d*Tan[e + f*x])^(4/3), x, 1, (-3*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[-1/6, 7/12, 5/6, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2))/(d*f*(d*Tan[e + f*x])^(1/3))}
public void test02350() {
	check("Integrate[(b*Sec[e + f*x])^(3/2)/(d*Tan[e + f*x])^(4/3), x]", "(-3*(Cos[e + f*x]^2)^(7/12)*Hypergeometric2F1[-1/6, 7/12, 5/6, Sin[e + f*x]^2]*(b*Sec[e + f*x])^(3/2))/(d*f*(d*Tan[e + f*x])^(1/3))");

}

// {(b*Sec[e + f*x])^m*Tan[e + f*x]^4, x, 1, ((Cos[e + f*x]^2)^((5 + m)/2)*Hypergeometric2F1[5/2, (5 + m)/2, 7/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m*Tan[e + f*x]^5)/(5*f)}
public void test02351() {
	check("Integrate[(b*Sec[e + f*x])^m*Tan[e + f*x]^4, x]", "((Cos[e + f*x]^2)^((5 + m)/2)*Hypergeometric2F1[5/2, (5 + m)/2, 7/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m*Tan[e + f*x]^5)/(5*f)");

}

// {(b*Sec[e + f*x])^m*Tan[e + f*x]^2, x, 1, ((Cos[e + f*x]^2)^((3 + m)/2)*Hypergeometric2F1[3/2, (3 + m)/2, 5/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m*Tan[e + f*x]^3)/(3*f)}
public void test02352() {
	check("Integrate[(b*Sec[e + f*x])^m*Tan[e + f*x]^2, x]", "((Cos[e + f*x]^2)^((3 + m)/2)*Hypergeometric2F1[3/2, (3 + m)/2, 5/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m*Tan[e + f*x]^3)/(3*f)");

}

// {Cot[e + f*x]^2*(b*Sec[e + f*x])^m, x, 1, -(((Cos[e + f*x]^2)^((-1 + m)/2)*Cot[e + f*x]*Hypergeometric2F1[-1/2, (-1 + m)/2, 1/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m)/f)}
public void test02353() {
	check("Integrate[Cot[e + f*x]^2*(b*Sec[e + f*x])^m, x]", "-(((Cos[e + f*x]^2)^((-1 + m)/2)*Cot[e + f*x]*Hypergeometric2F1[-1/2, (-1 + m)/2, 1/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m)/f)");

}

// {Cot[e + f*x]^4*(b*Sec[e + f*x])^m, x, 1, -((Cos[e + f*x]^2)^((-3 + m)/2)*Cot[e + f*x]^3*Hypergeometric2F1[-3/2, (-3 + m)/2, -1/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m)/(3*f)}
public void test02354() {
	check("Integrate[Cot[e + f*x]^4*(b*Sec[e + f*x])^m, x]", "-((Cos[e + f*x]^2)^((-3 + m)/2)*Cot[e + f*x]^3*Hypergeometric2F1[-3/2, (-3 + m)/2, -1/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m)/(3*f)");

}

// {Cot[e + f*x]^6*(b*Sec[e + f*x])^m, x, 1, -((Cos[e + f*x]^2)^((-5 + m)/2)*Cot[e + f*x]^5*Hypergeometric2F1[-5/2, (-5 + m)/2, -3/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m)/(5*f)}
public void test02355() {
	check("Integrate[Cot[e + f*x]^6*(b*Sec[e + f*x])^m, x]", "-((Cos[e + f*x]^2)^((-5 + m)/2)*Cot[e + f*x]^5*Hypergeometric2F1[-5/2, (-5 + m)/2, -3/2, Sin[e + f*x]^2]*(b*Sec[e + f*x])^m)/(5*f)");

}

// {(a*Sec[e + f*x])^m*(b*Tan[e + f*x])^n, x, 1, ((Cos[e + f*x]^2)^((1 + m + n)/2)*Hypergeometric2F1[(1 + n)/2, (1 + m + n)/2, (3 + n)/2, Sin[e + f*x]^2]*(a*Sec[e + f*x])^m*(b*Tan[e + f*x])^(1 + n))/(b*f*(1 + n))}
public void test02356() {
	check("Integrate[(a*Sec[e + f*x])^m*(b*Tan[e + f*x])^n, x]", "((Cos[e + f*x]^2)^((1 + m + n)/2)*Hypergeometric2F1[(1 + n)/2, (1 + m + n)/2, (3 + n)/2, Sin[e + f*x]^2]*(a*Sec[e + f*x])^m*(b*Tan[e + f*x])^(1 + n))/(b*f*(1 + n))");

}

// {Sec[a + b*x]^5*(d*Tan[a + b*x])^n, x, 1, ((Cos[a + b*x]^2)^((6 + n)/2)*Hypergeometric2F1[(1 + n)/2, (6 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sec[a + b*x]^5*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))}
public void test02357() {
	check("Integrate[Sec[a + b*x]^5*(d*Tan[a + b*x])^n, x]", "((Cos[a + b*x]^2)^((6 + n)/2)*Hypergeometric2F1[(1 + n)/2, (6 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sec[a + b*x]^5*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))");

}

// {Sec[a + b*x]^3*(d*Tan[a + b*x])^n, x, 1, ((Cos[a + b*x]^2)^((4 + n)/2)*Hypergeometric2F1[(1 + n)/2, (4 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sec[a + b*x]^3*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))}
public void test02358() {
	check("Integrate[Sec[a + b*x]^3*(d*Tan[a + b*x])^n, x]", "((Cos[a + b*x]^2)^((4 + n)/2)*Hypergeometric2F1[(1 + n)/2, (4 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sec[a + b*x]^3*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))");

}

// {Sec[a + b*x]*(d*Tan[a + b*x])^n, x, 1, ((Cos[a + b*x]^2)^((2 + n)/2)*Hypergeometric2F1[(1 + n)/2, (2 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sec[a + b*x]*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))}
public void test02359() {
	check("Integrate[Sec[a + b*x]*(d*Tan[a + b*x])^n, x]", "((Cos[a + b*x]^2)^((2 + n)/2)*Hypergeometric2F1[(1 + n)/2, (2 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*Sec[a + b*x]*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))");

}

// {Cos[a + b*x]*(d*Tan[a + b*x])^n, x, 1, (Cos[a + b*x]*(Cos[a + b*x]^2)^(n/2)*Hypergeometric2F1[n/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))}
public void test02360() {
	check("Integrate[Cos[a + b*x]*(d*Tan[a + b*x])^n, x]", "(Cos[a + b*x]*(Cos[a + b*x]^2)^(n/2)*Hypergeometric2F1[n/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))");

}

// {Cos[a + b*x]^3*(d*Tan[a + b*x])^n, x, 1, (Cos[a + b*x]^3*(Cos[a + b*x]^2)^((-2 + n)/2)*Hypergeometric2F1[(-2 + n)/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))}
public void test02361() {
	check("Integrate[Cos[a + b*x]^3*(d*Tan[a + b*x])^n, x]", "(Cos[a + b*x]^3*(Cos[a + b*x]^2)^((-2 + n)/2)*Hypergeometric2F1[(-2 + n)/2, (1 + n)/2, (3 + n)/2, Sin[a + b*x]^2]*(d*Tan[a + b*x])^(1 + n))/(b*d*(1 + n))");

}

// {(b*Csc[e + f*x])^m*Tan[e + f*x]^4, x, 1, ((b*Csc[e + f*x])^m*Hypergeometric2F1[-3/2, (-3 + m)/2, -1/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((-3 + m)/2)*Tan[e + f*x]^3)/(3*f)}
public void test02362() {
	check("Integrate[(b*Csc[e + f*x])^m*Tan[e + f*x]^4, x]", "((b*Csc[e + f*x])^m*Hypergeometric2F1[-3/2, (-3 + m)/2, -1/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((-3 + m)/2)*Tan[e + f*x]^3)/(3*f)");

}

// {(b*Csc[e + f*x])^m*Tan[e + f*x]^2, x, 1, ((b*Csc[e + f*x])^m*Hypergeometric2F1[-1/2, (-1 + m)/2, 1/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((-1 + m)/2)*Tan[e + f*x])/f}
public void test02363() {
	check("Integrate[(b*Csc[e + f*x])^m*Tan[e + f*x]^2, x]", "((b*Csc[e + f*x])^m*Hypergeometric2F1[-1/2, (-1 + m)/2, 1/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((-1 + m)/2)*Tan[e + f*x])/f");

}

// {Cot[e + f*x]^2*(b*Csc[e + f*x])^m, x, 1, -(Cot[e + f*x]^3*(b*Csc[e + f*x])^m*Hypergeometric2F1[3/2, (3 + m)/2, 5/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((3 + m)/2))/(3*f)}
public void test02364() {
	check("Integrate[Cot[e + f*x]^2*(b*Csc[e + f*x])^m, x]", "-(Cot[e + f*x]^3*(b*Csc[e + f*x])^m*Hypergeometric2F1[3/2, (3 + m)/2, 5/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((3 + m)/2))/(3*f)");

}

// {Cot[e + f*x]^4*(b*Csc[e + f*x])^m, x, 1, -(Cot[e + f*x]^5*(b*Csc[e + f*x])^m*Hypergeometric2F1[5/2, (5 + m)/2, 7/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((5 + m)/2))/(5*f)}
public void test02365() {
	check("Integrate[Cot[e + f*x]^4*(b*Csc[e + f*x])^m, x]", "-(Cot[e + f*x]^5*(b*Csc[e + f*x])^m*Hypergeometric2F1[5/2, (5 + m)/2, 7/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((5 + m)/2))/(5*f)");

}

// {a + b*Tan[c + d*x^2], x, 1, a*x + b*Unintegrable[Tan[c + d*x^2], x]}
public void test02366() {
	check("Integrate[a + b*Tan[c + d*x^2], x]", "a*x + b*Unintegrable[Tan[c + d*x^2], x]");

}

// {Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^3, x, 1, ((-I/3)*Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^3)/d}
public void test02367() {
	check("Integrate[Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^3, x]", "((-I/3)*Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^3)/d");

}

// {Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^5, x, 1, ((-I/5)*Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^5)/d}
public void test02368() {
	check("Integrate[Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^5, x]", "((-I/5)*Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^5)/d");

}

// {Sec[c + d*x]/(a + I*a*Tan[c + d*x]), x, 1, (I*Sec[c + d*x])/(d*(a + I*a*Tan[c + d*x]))}
public void test02369() {
	check("Integrate[Sec[c + d*x]/(a + I*a*Tan[c + d*x]), x]", "(I*Sec[c + d*x])/(d*(a + I*a*Tan[c + d*x]))");

}

// {Sec[c + d*x]^3/(a + I*a*Tan[c + d*x])^3, x, 1, ((I/3)*Sec[c + d*x]^3)/(d*(a + I*a*Tan[c + d*x])^3)}
public void test02370() {
	check("Integrate[Sec[c + d*x]^3/(a + I*a*Tan[c + d*x])^3, x]", "((I/3)*Sec[c + d*x]^3)/(d*(a + I*a*Tan[c + d*x])^3)");

}

// {Sec[c + d*x]*Sqrt[a + I*a*Tan[c + d*x]], x, 1, ((2*I)*a*Sec[c + d*x])/(d*Sqrt[a + I*a*Tan[c + d*x]])}
public void test02371() {
	check("Integrate[Sec[c + d*x]*Sqrt[a + I*a*Tan[c + d*x]], x]", "((2*I)*a*Sec[c + d*x])/(d*Sqrt[a + I*a*Tan[c + d*x]])");

}

// {Cos[c + d*x]*(a + I*a*Tan[c + d*x])^(3/2), x, 1, ((-2*I)*a*Cos[c + d*x]*Sqrt[a + I*a*Tan[c + d*x]])/d}
public void test02372() {
	check("Integrate[Cos[c + d*x]*(a + I*a*Tan[c + d*x])^(3/2), x]", "((-2*I)*a*Cos[c + d*x]*Sqrt[a + I*a*Tan[c + d*x]])/d");

}

// {Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^(5/2), x, 1, (((-2*I)/3)*a*Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^(3/2))/d}
public void test02373() {
	check("Integrate[Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^(5/2), x]", "(((-2*I)/3)*a*Cos[c + d*x]^3*(a + I*a*Tan[c + d*x])^(3/2))/d");

}

// {Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^(7/2), x, 1, (((-2*I)/5)*a*Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^(5/2))/d}
public void test02374() {
	check("Integrate[Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^(7/2), x]", "(((-2*I)/5)*a*Cos[c + d*x]^5*(a + I*a*Tan[c + d*x])^(5/2))/d");

}

// {Sec[c + d*x]^3/Sqrt[a + I*a*Tan[c + d*x]], x, 1, (((2*I)/3)*a*Sec[c + d*x]^3)/(d*(a + I*a*Tan[c + d*x])^(3/2))}
public void test02375() {
	check("Integrate[Sec[c + d*x]^3/Sqrt[a + I*a*Tan[c + d*x]], x]", "(((2*I)/3)*a*Sec[c + d*x]^3)/(d*(a + I*a*Tan[c + d*x])^(3/2))");

}

// {Sec[c + d*x]^5/(a + I*a*Tan[c + d*x])^(3/2), x, 1, (((2*I)/5)*a*Sec[c + d*x]^5)/(d*(a + I*a*Tan[c + d*x])^(5/2))}
public void test02376() {
	check("Integrate[Sec[c + d*x]^5/(a + I*a*Tan[c + d*x])^(3/2), x]", "(((2*I)/5)*a*Sec[c + d*x]^5)/(d*(a + I*a*Tan[c + d*x])^(5/2))");

}

// {Sec[c + d*x]^7/(a + I*a*Tan[c + d*x])^(5/2), x, 1, (((2*I)/7)*a*Sec[c + d*x]^7)/(d*(a + I*a*Tan[c + d*x])^(7/2))}
public void test02377() {
	check("Integrate[Sec[c + d*x]^7/(a + I*a*Tan[c + d*x])^(5/2), x]", "(((2*I)/7)*a*Sec[c + d*x]^7)/(d*(a + I*a*Tan[c + d*x])^(7/2))");

}

// {Sec[c + d*x]^9/(a + I*a*Tan[c + d*x])^(7/2), x, 1, (((2*I)/9)*a*Sec[c + d*x]^9)/(d*(a + I*a*Tan[c + d*x])^(9/2))}
public void test02378() {
	check("Integrate[Sec[c + d*x]^9/(a + I*a*Tan[c + d*x])^(7/2), x]", "(((2*I)/9)*a*Sec[c + d*x]^9)/(d*(a + I*a*Tan[c + d*x])^(9/2))");

}

// {Sqrt[a + I*a*Tan[c + d*x]]/Sqrt[e*Sec[c + d*x]], x, 1, ((-2*I)*Sqrt[a + I*a*Tan[c + d*x]])/(d*Sqrt[e*Sec[c + d*x]])}
public void test02379() {
	check("Integrate[Sqrt[a + I*a*Tan[c + d*x]]/Sqrt[e*Sec[c + d*x]], x]", "((-2*I)*Sqrt[a + I*a*Tan[c + d*x]])/(d*Sqrt[e*Sec[c + d*x]])");

}

// {(a + I*a*Tan[c + d*x])^(3/2)/(e*Sec[c + d*x])^(3/2), x, 1, (((-2*I)/3)*(a + I*a*Tan[c + d*x])^(3/2))/(d*(e*Sec[c + d*x])^(3/2))}
public void test02380() {
	check("Integrate[(a + I*a*Tan[c + d*x])^(3/2)/(e*Sec[c + d*x])^(3/2), x]", "(((-2*I)/3)*(a + I*a*Tan[c + d*x])^(3/2))/(d*(e*Sec[c + d*x])^(3/2))");

}

// {(a + I*a*Tan[c + d*x])^(5/2)/(e*Sec[c + d*x])^(5/2), x, 1, (((-2*I)/5)*(a + I*a*Tan[c + d*x])^(5/2))/(d*(e*Sec[c + d*x])^(5/2))}
public void test02381() {
	check("Integrate[(a + I*a*Tan[c + d*x])^(5/2)/(e*Sec[c + d*x])^(5/2), x]", "(((-2*I)/5)*(a + I*a*Tan[c + d*x])^(5/2))/(d*(e*Sec[c + d*x])^(5/2))");

}

// {Sqrt[e*Sec[c + d*x]]/Sqrt[a + I*a*Tan[c + d*x]], x, 1, ((2*I)*Sqrt[e*Sec[c + d*x]])/(d*Sqrt[a + I*a*Tan[c + d*x]])}
public void test02382() {
	check("Integrate[Sqrt[e*Sec[c + d*x]]/Sqrt[a + I*a*Tan[c + d*x]], x]", "((2*I)*Sqrt[e*Sec[c + d*x]])/(d*Sqrt[a + I*a*Tan[c + d*x]])");

}

// {(e*Sec[c + d*x])^(3/2)/(a + I*a*Tan[c + d*x])^(3/2), x, 1, (((2*I)/3)*(e*Sec[c + d*x])^(3/2))/(d*(a + I*a*Tan[c + d*x])^(3/2))}
public void test02383() {
	check("Integrate[(e*Sec[c + d*x])^(3/2)/(a + I*a*Tan[c + d*x])^(3/2), x]", "(((2*I)/3)*(e*Sec[c + d*x])^(3/2))/(d*(a + I*a*Tan[c + d*x])^(3/2))");

}

// {(e*Sec[c + d*x])^(5/2)/(a + I*a*Tan[c + d*x])^(5/2), x, 1, (((2*I)/5)*(e*Sec[c + d*x])^(5/2))/(d*(a + I*a*Tan[c + d*x])^(5/2))}
public void test02384() {
	check("Integrate[(e*Sec[c + d*x])^(5/2)/(a + I*a*Tan[c + d*x])^(5/2), x]", "(((2*I)/5)*(e*Sec[c + d*x])^(5/2))/(d*(a + I*a*Tan[c + d*x])^(5/2))");

}

// {(d*Sec[e + f*x])^(2/3)*(a + I*a*Tan[e + f*x])^(2/3), x, 1, ((3*I)*a*(d*Sec[e + f*x])^(2/3))/(f*(a + I*a*Tan[e + f*x])^(1/3))}
public void test02385() {
	check("Integrate[(d*Sec[e + f*x])^(2/3)*(a + I*a*Tan[e + f*x])^(2/3), x]", "((3*I)*a*(d*Sec[e + f*x])^(2/3))/(f*(a + I*a*Tan[e + f*x])^(1/3))");

}

// {(a + I*a*Tan[c + d*x])^n/(e*Sec[c + d*x])^n, x, 1, ((-I)*(a + I*a*Tan[c + d*x])^n)/(d*n*(e*Sec[c + d*x])^n)}
public void test02386() {
	check("Integrate[(a + I*a*Tan[c + d*x])^n/(e*Sec[c + d*x])^n, x]", "((-I)*(a + I*a*Tan[c + d*x])^n)/(d*n*(e*Sec[c + d*x])^n)");

}

// {(e*Sec[c + d*x])^(2 - 2*n)*(a + I*a*Tan[c + d*x])^n, x, 1, (I*a*(e*Sec[c + d*x])^(2 - 2*n)*(a + I*a*Tan[c + d*x])^(-1 + n))/(d*(1 - n))}
public void test02387() {
	check("Integrate[(e*Sec[c + d*x])^(2 - 2*n)*(a + I*a*Tan[c + d*x])^n, x]", "(I*a*(e*Sec[c + d*x])^(2 - 2*n)*(a + I*a*Tan[c + d*x])^(-1 + n))/(d*(1 - n))");

}

// {(d*Sec[e + f*x])^(2*n)*(a + I*a*Tan[e + f*x])^(1 - n), x, 1, (I*a*(d*Sec[e + f*x])^(2*n))/(f*n*(a + I*a*Tan[e + f*x])^n)}
public void test02388() {
	check("Integrate[(d*Sec[e + f*x])^(2*n)*(a + I*a*Tan[e + f*x])^(1 - n), x]", "(I*a*(d*Sec[e + f*x])^(2*n))/(f*n*(a + I*a*Tan[e + f*x])^n)");

}

// {Cos[c + d*x]*(a + b*Tan[c + d*x])^2, x, 1, (b^2*ArcTanh[Sin[c + d*x]])/d - (2*a*b*Cos[c + d*x])/d + ((a^2 - b^2)*Sin[c + d*x])/d}
public void test02389() {
	check("Integrate[Cos[c + d*x]*(a + b*Tan[c + d*x])^2, x]", "(b^2*ArcTanh[Sin[c + d*x]])/d - (2*a*b*Cos[c + d*x])/d + ((a^2 - b^2)*Sin[c + d*x])/d");

}

// {(d*Cos[e + f*x])^m*(a + b*(c*Tan[e + f*x])^n)^p, x, 1, (d*Cos[e + f*x])^m*(Sec[e + f*x]/d)^m*Unintegrable[(a + b*(c*Tan[e + f*x])^n)^p/(Sec[e + f*x]/d)^m, x]}
public void test02390() {
	check("Integrate[(d*Cos[e + f*x])^m*(a + b*(c*Tan[e + f*x])^n)^p, x]", "(d*Cos[e + f*x])^m*(Sec[e + f*x]/d)^m*Unintegrable[(a + b*(c*Tan[e + f*x])^n)^p/(Sec[e + f*x]/d)^m, x]");

}

// {(d*Cot[e + f*x])^m*(a + b*(c*Tan[e + f*x])^n)^p, x, 1, (d*Cot[e + f*x])^m*(Tan[e + f*x]/d)^m*Unintegrable[(a + b*(c*Tan[e + f*x])^n)^p/(Tan[e + f*x]/d)^m, x]}
public void test02391() {
	check("Integrate[(d*Cot[e + f*x])^m*(a + b*(c*Tan[e + f*x])^n)^p, x]", "(d*Cot[e + f*x])^m*(Tan[e + f*x]/d)^m*Unintegrable[(a + b*(c*Tan[e + f*x])^n)^p/(Tan[e + f*x]/d)^m, x]");

}

// {(d*Csc[e + f*x])^m*(a + b*(c*Tan[e + f*x])^n)^p, x, 1, (d*Csc[e + f*x])^m*(Sin[e + f*x]/d)^m*Unintegrable[(a + b*(c*Tan[e + f*x])^n)^p/(Sin[e + f*x]/d)^m, x]}
public void test02392() {
	check("Integrate[(d*Csc[e + f*x])^m*(a + b*(c*Tan[e + f*x])^n)^p, x]", "(d*Csc[e + f*x])^m*(Sin[e + f*x]/d)^m*Unintegrable[(a + b*(c*Tan[e + f*x])^n)^p/(Sin[e + f*x]/d)^m, x]");

}

// {Cot[a + b*x], x, 1, Log[Sin[a + b*x]]/b}
public void test02393() {
	check("Integrate[Cot[a + b*x], x]", "Log[Sin[a + b*x]]/b");

}

// {(d*Cot[e + f*x])^n*Csc[e + f*x]^3, x, 1, -(((d*Cot[e + f*x])^(1 + n)*Csc[e + f*x]^3*Hypergeometric2F1[(1 + n)/2, (4 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((4 + n)/2))/(d*f*(1 + n)))}
public void test02394() {
	check("Integrate[(d*Cot[e + f*x])^n*Csc[e + f*x]^3, x]", "-(((d*Cot[e + f*x])^(1 + n)*Csc[e + f*x]^3*Hypergeometric2F1[(1 + n)/2, (4 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((4 + n)/2))/(d*f*(1 + n)))");

}

// {(d*Cot[e + f*x])^n*Csc[e + f*x], x, 1, -(((d*Cot[e + f*x])^(1 + n)*Csc[e + f*x]*Hypergeometric2F1[(1 + n)/2, (2 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((2 + n)/2))/(d*f*(1 + n)))}
public void test02395() {
	check("Integrate[(d*Cot[e + f*x])^n*Csc[e + f*x], x]", "-(((d*Cot[e + f*x])^(1 + n)*Csc[e + f*x]*Hypergeometric2F1[(1 + n)/2, (2 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((2 + n)/2))/(d*f*(1 + n)))");

}

// {(d*Cot[e + f*x])^n*Sin[e + f*x], x, 1, -(((d*Cot[e + f*x])^(1 + n)*Hypergeometric2F1[n/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]*(Sin[e + f*x]^2)^(n/2))/(d*f*(1 + n)))}
public void test02396() {
	check("Integrate[(d*Cot[e + f*x])^n*Sin[e + f*x], x]", "-(((d*Cot[e + f*x])^(1 + n)*Hypergeometric2F1[n/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]*(Sin[e + f*x]^2)^(n/2))/(d*f*(1 + n)))");

}

// {(d*Cot[e + f*x])^n*Sin[e + f*x]^3, x, 1, -(((d*Cot[e + f*x])^(1 + n)*Hypergeometric2F1[(-2 + n)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]^3*(Sin[e + f*x]^2)^((-2 + n)/2))/(d*f*(1 + n)))}
public void test02397() {
	check("Integrate[(d*Cot[e + f*x])^n*Sin[e + f*x]^3, x]", "-(((d*Cot[e + f*x])^(1 + n)*Hypergeometric2F1[(-2 + n)/2, (1 + n)/2, (3 + n)/2, Cos[e + f*x]^2]*Sin[e + f*x]^3*(Sin[e + f*x]^2)^((-2 + n)/2))/(d*f*(1 + n)))");

}

// {(b*Cot[e + f*x])^n*(a*Csc[e + f*x])^m, x, 1, -(((b*Cot[e + f*x])^(1 + n)*(a*Csc[e + f*x])^m*Hypergeometric2F1[(1 + n)/2, (1 + m + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((1 + m + n)/2))/(b*f*(1 + n)))}
public void test02398() {
	check("Integrate[(b*Cot[e + f*x])^n*(a*Csc[e + f*x])^m, x]", "-(((b*Cot[e + f*x])^(1 + n)*(a*Csc[e + f*x])^m*Hypergeometric2F1[(1 + n)/2, (1 + m + n)/2, (3 + n)/2, Cos[e + f*x]^2]*(Sin[e + f*x]^2)^((1 + m + n)/2))/(b*f*(1 + n)))");

}

// {Csc[x]/(I + Cot[x]), x, 1, (I*Csc[x])/(I + Cot[x])}
public void test02399() {
	check("Integrate[Csc[x]/(I + Cot[x]), x]", "(I*Csc[x])/(I + Cot[x])");

}

// {Sec[a + b*x], x, 1, ArcTanh[Sin[a + b*x]]/b}
public void test02400() {
	check("Integrate[Sec[a + b*x], x]", "ArcTanh[Sin[a + b*x]]/b");

}

// {(d*Csc[a + b*x])^(3/2)*Sqrt[c*Sec[a + b*x]], x, 1, (-2*c*d*Sqrt[d*Csc[a + b*x]])/(b*Sqrt[c*Sec[a + b*x]])}
public void test02401() {
	check("Integrate[(d*Csc[a + b*x])^(3/2)*Sqrt[c*Sec[a + b*x]], x]", "(-2*c*d*Sqrt[d*Csc[a + b*x]])/(b*Sqrt[c*Sec[a + b*x]])");

}

// {Sqrt[d*Csc[a + b*x]]*(c*Sec[a + b*x])^(3/2), x, 1, (2*c*d*Sqrt[c*Sec[a + b*x]])/(b*Sqrt[d*Csc[a + b*x]])}
public void test02402() {
	check("Integrate[Sqrt[d*Csc[a + b*x]]*(c*Sec[a + b*x])^(3/2), x]", "(2*c*d*Sqrt[c*Sec[a + b*x]])/(b*Sqrt[d*Csc[a + b*x]])");

}

// {(c*Sec[a + b*x])^(5/2)/Sqrt[d*Csc[a + b*x]], x, 1, (2*c*d*(c*Sec[a + b*x])^(3/2))/(3*b*(d*Csc[a + b*x])^(3/2))}
public void test02403() {
	check("Integrate[(c*Sec[a + b*x])^(5/2)/Sqrt[d*Csc[a + b*x]], x]", "(2*c*d*(c*Sec[a + b*x])^(3/2))/(3*b*(d*Csc[a + b*x])^(3/2))");

}

// {(d*Csc[a + b*x])^(5/2)/Sqrt[c*Sec[a + b*x]], x, 1, (-2*c*d*(d*Csc[a + b*x])^(3/2))/(3*b*(c*Sec[a + b*x])^(3/2))}
public void test02404() {
	check("Integrate[(d*Csc[a + b*x])^(5/2)/Sqrt[c*Sec[a + b*x]], x]", "(-2*c*d*(d*Csc[a + b*x])^(3/2))/(3*b*(c*Sec[a + b*x])^(3/2))");

}

// {(d*Csc[a + b*x])^(7/2)/(c*Sec[a + b*x])^(3/2), x, 1, (-2*c*d*(d*Csc[a + b*x])^(5/2))/(5*b*(c*Sec[a + b*x])^(5/2))}
public void test02405() {
	check("Integrate[(d*Csc[a + b*x])^(7/2)/(c*Sec[a + b*x])^(3/2), x]", "(-2*c*d*(d*Csc[a + b*x])^(5/2))/(5*b*(c*Sec[a + b*x])^(5/2))");

}

// {(d*Csc[a + b*x])^(9/2)/(c*Sec[a + b*x])^(5/2), x, 1, (-2*c*d*(d*Csc[a + b*x])^(7/2))/(7*b*(c*Sec[a + b*x])^(7/2))}
public void test02406() {
	check("Integrate[(d*Csc[a + b*x])^(9/2)/(c*Sec[a + b*x])^(5/2), x]", "(-2*c*d*(d*Csc[a + b*x])^(7/2))/(7*b*(c*Sec[a + b*x])^(7/2))");

}

// {(e*x)^m*(a + b*Sec[c + d*x^n])^p, x, 1, ((e*x)^m*Unintegrable[x^m*(a + b*Sec[c + d*x^n])^p, x])/x^m}
public void test02407() {
	check("Integrate[(e*x)^m*(a + b*Sec[c + d*x^n])^p, x]", "((e*x)^m*Unintegrable[x^m*(a + b*Sec[c + d*x^n])^p, x])/x^m");

}

// {Sec[c + d*x]/(a + a*Sec[c + d*x]), x, 1, Tan[c + d*x]/(d*(a + a*Sec[c + d*x]))}
public void test02408() {
	check("Integrate[Sec[c + d*x]/(a + a*Sec[c + d*x]), x]", "Tan[c + d*x]/(d*(a + a*Sec[c + d*x]))");

}

// {Sec[c + d*x]*Sqrt[a + a*Sec[c + d*x]], x, 1, (2*a*Tan[c + d*x])/(d*Sqrt[a + a*Sec[c + d*x]])}
public void test02409() {
	check("Integrate[Sec[c + d*x]*Sqrt[a + a*Sec[c + d*x]], x]", "(2*a*Tan[c + d*x])/(d*Sqrt[a + a*Sec[c + d*x]])");

}

// {Sec[c + d*x]*Sqrt[a - a*Sec[c + d*x]], x, 1, (-2*a*Tan[c + d*x])/(d*Sqrt[a - a*Sec[c + d*x]])}
public void test02410() {
	check("Integrate[Sec[c + d*x]*Sqrt[a - a*Sec[c + d*x]], x]", "(-2*a*Tan[c + d*x])/(d*Sqrt[a - a*Sec[c + d*x]])");

}

// {Sqrt[a + a*Sec[c + d*x]]/Sqrt[Sec[c + d*x]], x, 1, (2*a*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/(d*Sqrt[a + a*Sec[c + d*x]])}
public void test02411() {
	check("Integrate[Sqrt[a + a*Sec[c + d*x]]/Sqrt[Sec[c + d*x]], x]", "(2*a*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/(d*Sqrt[a + a*Sec[c + d*x]])");

}

// {Sqrt[a + b*Sec[c + d*x]], x, 1, (-2*Cot[c + d*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sec[c + d*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sec[c + d*x]))/(a + b*Sec[c + d*x]))]*Sqrt[(b*(1 + Sec[c + d*x]))/(a + b*Sec[c + d*x])]*(a + b*Sec[c + d*x]))/(Sqrt[a + b]*d)}
public void test02412() {
	check("Integrate[Sqrt[a + b*Sec[c + d*x]], x]", "(-2*Cot[c + d*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sec[c + d*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sec[c + d*x]))/(a + b*Sec[c + d*x]))]*Sqrt[(b*(1 + Sec[c + d*x]))/(a + b*Sec[c + d*x])]*(a + b*Sec[c + d*x]))/(Sqrt[a + b]*d)");

}

// {Sec[c + d*x]/Sqrt[a + b*Sec[c + d*x]], x, 1, (2*Sqrt[a + b]*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[a + b*Sec[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[c + d*x]))/(a - b))])/(b*d)}
public void test02413() {
	check("Integrate[Sec[c + d*x]/Sqrt[a + b*Sec[c + d*x]], x]", "(2*Sqrt[a + b]*Cot[c + d*x]*EllipticF[ArcSin[Sqrt[a + b*Sec[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[c + d*x]))/(a - b))])/(b*d)");

}

// {1/Sqrt[a + b*Sec[c + d*x]], x, 1, (-2*Sqrt[a + b]*Cot[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sec[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[c + d*x]))/(a - b))])/(a*d)}
public void test02414() {
	check("Integrate[1/Sqrt[a + b*Sec[c + d*x]], x]", "(-2*Sqrt[a + b]*Cot[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sec[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[c + d*x]))/(a - b))])/(a*d)");

}

// {Sqrt[a + b*Sec[e + f*x]], x, 1, (-2*Cot[e + f*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sec[e + f*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sec[e + f*x]))/(a + b*Sec[e + f*x]))]*Sqrt[(b*(1 + Sec[e + f*x]))/(a + b*Sec[e + f*x])]*(a + b*Sec[e + f*x]))/(Sqrt[a + b]*f)}
public void test02415() {
	check("Integrate[Sqrt[a + b*Sec[e + f*x]], x]", "(-2*Cot[e + f*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sec[e + f*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sec[e + f*x]))/(a + b*Sec[e + f*x]))]*Sqrt[(b*(1 + Sec[e + f*x]))/(a + b*Sec[e + f*x])]*(a + b*Sec[e + f*x]))/(Sqrt[a + b]*f)");

}

// {1/Sqrt[a + b*Sec[e + f*x]], x, 1, (-2*Sqrt[a + b]*Cot[e + f*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sec[e + f*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[e + f*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[e + f*x]))/(a - b))])/(a*f)}
public void test02416() {
	check("Integrate[1/Sqrt[a + b*Sec[e + f*x]], x]", "(-2*Sqrt[a + b]*Cot[e + f*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sec[e + f*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[e + f*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[e + f*x]))/(a - b))])/(a*f)");

}

// {(a + a*Sec[c + d*x])^n*(e*Tan[c + d*x])^m, x, 1, (2^(1 + m + n)*AppellF1[(1 + m)/2, m + n, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(1 + m + n)*(a + a*Sec[c + d*x])^n*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m))}
public void test02417() {
	check("Integrate[(a + a*Sec[c + d*x])^n*(e*Tan[c + d*x])^m, x]", "(2^(1 + m + n)*AppellF1[(1 + m)/2, m + n, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(1 + m + n)*(a + a*Sec[c + d*x])^n*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m))");

}

// {(a + a*Sec[c + d*x])^(3/2)*(e*Tan[c + d*x])^m, x, 1, (2^(5/2 + m)*AppellF1[(1 + m)/2, 3/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(5/2 + m)*(a + a*Sec[c + d*x])^(3/2)*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m))}
public void test02418() {
	check("Integrate[(a + a*Sec[c + d*x])^(3/2)*(e*Tan[c + d*x])^m, x]", "(2^(5/2 + m)*AppellF1[(1 + m)/2, 3/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(5/2 + m)*(a + a*Sec[c + d*x])^(3/2)*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m))");

}

// {Sqrt[a + a*Sec[c + d*x]]*(e*Tan[c + d*x])^m, x, 1, (2^(3/2 + m)*AppellF1[(1 + m)/2, 1/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(3/2 + m)*Sqrt[a + a*Sec[c + d*x]]*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m))}
public void test02419() {
	check("Integrate[Sqrt[a + a*Sec[c + d*x]]*(e*Tan[c + d*x])^m, x]", "(2^(3/2 + m)*AppellF1[(1 + m)/2, 1/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(3/2 + m)*Sqrt[a + a*Sec[c + d*x]]*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m))");

}

// {(e*Tan[c + d*x])^m/Sqrt[a + a*Sec[c + d*x]], x, 1, (2^(1/2 + m)*AppellF1[(1 + m)/2, -1/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(1/2 + m)*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m)*Sqrt[a + a*Sec[c + d*x]])}
public void test02420() {
	check("Integrate[(e*Tan[c + d*x])^m/Sqrt[a + a*Sec[c + d*x]], x]", "(2^(1/2 + m)*AppellF1[(1 + m)/2, -1/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(1/2 + m)*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m)*Sqrt[a + a*Sec[c + d*x]])");

}

// {(e*Tan[c + d*x])^m/(a + a*Sec[c + d*x])^(3/2), x, 1, (2^(-1/2 + m)*AppellF1[(1 + m)/2, -3/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(-1/2 + m)*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m)*(a + a*Sec[c + d*x])^(3/2))}
public void test02421() {
	check("Integrate[(e*Tan[c + d*x])^m/(a + a*Sec[c + d*x])^(3/2), x]", "(2^(-1/2 + m)*AppellF1[(1 + m)/2, -3/2 + m, 1, (3 + m)/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(-1/2 + m)*(e*Tan[c + d*x])^(1 + m))/(d*e*(1 + m)*(a + a*Sec[c + d*x])^(3/2))");

}

// {(a + a*Sec[c + d*x])^n*Tan[c + d*x]^4, x, 1, (2^(5 + n)*AppellF1[5/2, 4 + n, 1, 7/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(5 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^5)/(5*d)}
public void test02422() {
	check("Integrate[(a + a*Sec[c + d*x])^n*Tan[c + d*x]^4, x]", "(2^(5 + n)*AppellF1[5/2, 4 + n, 1, 7/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(5 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^5)/(5*d)");

}

// {(a + a*Sec[c + d*x])^n*Tan[c + d*x]^2, x, 1, (2^(3 + n)*AppellF1[3/2, 2 + n, 1, 5/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(3 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^3)/(3*d)}
public void test02423() {
	check("Integrate[(a + a*Sec[c + d*x])^n*Tan[c + d*x]^2, x]", "(2^(3 + n)*AppellF1[3/2, 2 + n, 1, 5/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(3 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^3)/(3*d)");

}

// {Cot[c + d*x]^2*(a + a*Sec[c + d*x])^n, x, 1, -((2^(-1 + n)*AppellF1[-1/2, -2 + n, 1, 1/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*Cot[c + d*x]*((1 + Sec[c + d*x])^(-1))^(-1 + n)*(a + a*Sec[c + d*x])^n)/d)}
public void test02424() {
	check("Integrate[Cot[c + d*x]^2*(a + a*Sec[c + d*x])^n, x]", "-((2^(-1 + n)*AppellF1[-1/2, -2 + n, 1, 1/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*Cot[c + d*x]*((1 + Sec[c + d*x])^(-1))^(-1 + n)*(a + a*Sec[c + d*x])^n)/d)");

}

// {Cot[c + d*x]^4*(a + a*Sec[c + d*x])^n, x, 1, -(2^(-3 + n)*AppellF1[-3/2, -4 + n, 1, -1/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*Cot[c + d*x]^3*((1 + Sec[c + d*x])^(-1))^(-3 + n)*(a + a*Sec[c + d*x])^n)/(3*d)}
public void test02425() {
	check("Integrate[Cot[c + d*x]^4*(a + a*Sec[c + d*x])^n, x]", "-(2^(-3 + n)*AppellF1[-3/2, -4 + n, 1, -1/2, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*Cot[c + d*x]^3*((1 + Sec[c + d*x])^(-1))^(-3 + n)*(a + a*Sec[c + d*x])^n)/(3*d)");

}

// {(a + a*Sec[c + d*x])^n*Tan[c + d*x]^(3/2), x, 1, (2^(7/2 + n)*AppellF1[5/4, 3/2 + n, 1, 9/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(5/2 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^(5/2))/(5*d)}
public void test02426() {
	check("Integrate[(a + a*Sec[c + d*x])^n*Tan[c + d*x]^(3/2), x]", "(2^(7/2 + n)*AppellF1[5/4, 3/2 + n, 1, 9/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(5/2 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^(5/2))/(5*d)");

}

// {(a + a*Sec[c + d*x])^n*Sqrt[Tan[c + d*x]], x, 1, (2^(5/2 + n)*AppellF1[3/4, 1/2 + n, 1, 7/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(3/2 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^(3/2))/(3*d)}
public void test02427() {
	check("Integrate[(a + a*Sec[c + d*x])^n*Sqrt[Tan[c + d*x]], x]", "(2^(5/2 + n)*AppellF1[3/4, 1/2 + n, 1, 7/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(3/2 + n)*(a + a*Sec[c + d*x])^n*Tan[c + d*x]^(3/2))/(3*d)");

}

// {(a + a*Sec[c + d*x])^n/Sqrt[Tan[c + d*x]], x, 1, (2^(3/2 + n)*AppellF1[1/4, -1/2 + n, 1, 5/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(1/2 + n)*(a + a*Sec[c + d*x])^n*Sqrt[Tan[c + d*x]])/d}
public void test02428() {
	check("Integrate[(a + a*Sec[c + d*x])^n/Sqrt[Tan[c + d*x]], x]", "(2^(3/2 + n)*AppellF1[1/4, -1/2 + n, 1, 5/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(1/2 + n)*(a + a*Sec[c + d*x])^n*Sqrt[Tan[c + d*x]])/d");

}

// {(a + a*Sec[c + d*x])^n/Tan[c + d*x]^(3/2), x, 1, -((2^(1/2 + n)*AppellF1[-1/4, -3/2 + n, 1, 3/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(-1/2 + n)*(a + a*Sec[c + d*x])^n)/(d*Sqrt[Tan[c + d*x]]))}
public void test02429() {
	check("Integrate[(a + a*Sec[c + d*x])^n/Tan[c + d*x]^(3/2), x]", "-((2^(1/2 + n)*AppellF1[-1/4, -3/2 + n, 1, 3/4, -((a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])), (a - a*Sec[c + d*x])/(a + a*Sec[c + d*x])]*((1 + Sec[c + d*x])^(-1))^(-1/2 + n)*(a + a*Sec[c + d*x])^n)/(d*Sqrt[Tan[c + d*x]]))");

}

// {Sqrt[a + b*Sec[c + d*x]], x, 1, (-2*Cot[c + d*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sec[c + d*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sec[c + d*x]))/(a + b*Sec[c + d*x]))]*Sqrt[(b*(1 + Sec[c + d*x]))/(a + b*Sec[c + d*x])]*(a + b*Sec[c + d*x]))/(Sqrt[a + b]*d)}
public void test02430() {
	check("Integrate[Sqrt[a + b*Sec[c + d*x]], x]", "(-2*Cot[c + d*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sec[c + d*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sec[c + d*x]))/(a + b*Sec[c + d*x]))]*Sqrt[(b*(1 + Sec[c + d*x]))/(a + b*Sec[c + d*x])]*(a + b*Sec[c + d*x]))/(Sqrt[a + b]*d)");

}

// {1/Sqrt[a + b*Sec[c + d*x]], x, 1, (-2*Sqrt[a + b]*Cot[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sec[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[c + d*x]))/(a - b))])/(a*d)}
public void test02431() {
	check("Integrate[1/Sqrt[a + b*Sec[c + d*x]], x]", "(-2*Sqrt[a + b]*Cot[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sec[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[c + d*x]))/(a - b))])/(a*d)");

}

// {Sqrt[a + b*Sec[e + f*x]]/Sqrt[c + d*Sec[e + f*x]], x, 1, (-2*Sqrt[c + d]*Cot[e + f*x]*EllipticPi[(a*(c + d))/((a + b)*c), ArcSin[(Sqrt[a + b]*Sqrt[c + d*Sec[e + f*x]])/(Sqrt[c + d]*Sqrt[a + b*Sec[e + f*x]])], ((a - b)*(c + d))/((a + b)*(c - d))]*Sqrt[-(((b*c - a*d)*(1 - Sec[e + f*x]))/((c + d)*(a + b*Sec[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sec[e + f*x]))/((c - d)*(a + b*Sec[e + f*x]))]*(a + b*Sec[e + f*x]))/(Sqrt[a + b]*c*f)}
public void test02432() {
	check("Integrate[Sqrt[a + b*Sec[e + f*x]]/Sqrt[c + d*Sec[e + f*x]], x]", "(-2*Sqrt[c + d]*Cot[e + f*x]*EllipticPi[(a*(c + d))/((a + b)*c), ArcSin[(Sqrt[a + b]*Sqrt[c + d*Sec[e + f*x]])/(Sqrt[c + d]*Sqrt[a + b*Sec[e + f*x]])], ((a - b)*(c + d))/((a + b)*(c - d))]*Sqrt[-(((b*c - a*d)*(1 - Sec[e + f*x]))/((c + d)*(a + b*Sec[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sec[e + f*x]))/((c - d)*(a + b*Sec[e + f*x]))]*(a + b*Sec[e + f*x]))/(Sqrt[a + b]*c*f)");

}

// {Sqrt[c + d*Sec[e + f*x]]/Sqrt[a + b*Sec[e + f*x]], x, 1, (-2*Sqrt[a + b]*Cot[e + f*x]*EllipticPi[((a + b)*c)/(a*(c + d)), ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sec[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sec[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sqrt[((b*c - a*d)*(1 - Sec[e + f*x]))/((a + b)*(c + d*Sec[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sec[e + f*x]))/((a - b)*(c + d*Sec[e + f*x])))]*(c + d*Sec[e + f*x]))/(a*Sqrt[c + d]*f)}
public void test02433() {
	check("Integrate[Sqrt[c + d*Sec[e + f*x]]/Sqrt[a + b*Sec[e + f*x]], x]", "(-2*Sqrt[a + b]*Cot[e + f*x]*EllipticPi[((a + b)*c)/(a*(c + d)), ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sec[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sec[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sqrt[((b*c - a*d)*(1 - Sec[e + f*x]))/((a + b)*(c + d*Sec[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sec[e + f*x]))/((a - b)*(c + d*Sec[e + f*x])))]*(c + d*Sec[e + f*x]))/(a*Sqrt[c + d]*f)");

}

// {(a + b*Sec[e + f*x])^(1/3)/(c + d*Sec[e + f*x])^(1/3), x, 1, ((d + c*Cos[e + f*x])^(1/3)*(a + b*Sec[e + f*x])^(1/3)*Unintegrable[(b + a*Cos[e + f*x])^(1/3)/(d + c*Cos[e + f*x])^(1/3), x])/((b + a*Cos[e + f*x])^(1/3)*(c + d*Sec[e + f*x])^(1/3))}
public void test02434() {
	check("Integrate[(a + b*Sec[e + f*x])^(1/3)/(c + d*Sec[e + f*x])^(1/3), x]", "((d + c*Cos[e + f*x])^(1/3)*(a + b*Sec[e + f*x])^(1/3)*Unintegrable[(b + a*Cos[e + f*x])^(1/3)/(d + c*Cos[e + f*x])^(1/3), x])/((b + a*Cos[e + f*x])^(1/3)*(c + d*Sec[e + f*x])^(1/3))");

}

// {(a + b*Sec[e + f*x])^(2/3)/(c + d*Sec[e + f*x])^(2/3), x, 1, ((d + c*Cos[e + f*x])^(2/3)*(a + b*Sec[e + f*x])^(2/3)*Unintegrable[(b + a*Cos[e + f*x])^(2/3)/(d + c*Cos[e + f*x])^(2/3), x])/((b + a*Cos[e + f*x])^(2/3)*(c + d*Sec[e + f*x])^(2/3))}
public void test02435() {
	check("Integrate[(a + b*Sec[e + f*x])^(2/3)/(c + d*Sec[e + f*x])^(2/3), x]", "((d + c*Cos[e + f*x])^(2/3)*(a + b*Sec[e + f*x])^(2/3)*Unintegrable[(b + a*Cos[e + f*x])^(2/3)/(d + c*Cos[e + f*x])^(2/3), x])/((b + a*Cos[e + f*x])^(2/3)*(c + d*Sec[e + f*x])^(2/3))");

}

// {(a + b*Sec[e + f*x])^(4/3)/(c + d*Sec[e + f*x])^(4/3), x, 1, ((d + c*Cos[e + f*x])^(4/3)*(a + b*Sec[e + f*x])^(4/3)*Unintegrable[(b + a*Cos[e + f*x])^(4/3)/(d + c*Cos[e + f*x])^(4/3), x])/((b + a*Cos[e + f*x])^(4/3)*(c + d*Sec[e + f*x])^(4/3))}
public void test02436() {
	check("Integrate[(a + b*Sec[e + f*x])^(4/3)/(c + d*Sec[e + f*x])^(4/3), x]", "((d + c*Cos[e + f*x])^(4/3)*(a + b*Sec[e + f*x])^(4/3)*Unintegrable[(b + a*Cos[e + f*x])^(4/3)/(d + c*Cos[e + f*x])^(4/3), x])/((b + a*Cos[e + f*x])^(4/3)*(c + d*Sec[e + f*x])^(4/3))");

}

// {(c*(d*Sec[e + f*x])^p)^n*(a + b*Sec[e + f*x])^m, x, 1, ((c*(d*Sec[e + f*x])^p)^n*Unintegrable[(d*Sec[e + f*x])^(n*p)*(a + b*Sec[e + f*x])^m, x])/(d*Sec[e + f*x])^(n*p)}
public void test02437() {
	check("Integrate[(c*(d*Sec[e + f*x])^p)^n*(a + b*Sec[e + f*x])^m, x]", "((c*(d*Sec[e + f*x])^p)^n*Unintegrable[(d*Sec[e + f*x])^(n*p)*(a + b*Sec[e + f*x])^m, x])/(d*Sec[e + f*x])^(n*p)");

}

// {(Sec[e + f*x]*(a + a*Sec[e + f*x]))/(c - c*Sec[e + f*x])^2, x, 1, -((a + a*Sec[e + f*x])*Tan[e + f*x])/(3*f*(c - c*Sec[e + f*x])^2)}
public void test02438() {
	check("Integrate[(Sec[e + f*x]*(a + a*Sec[e + f*x]))/(c - c*Sec[e + f*x])^2, x]", "-((a + a*Sec[e + f*x])*Tan[e + f*x])/(3*f*(c - c*Sec[e + f*x])^2)");

}

// {(Sec[e + f*x]*(a + a*Sec[e + f*x])^2)/(c - c*Sec[e + f*x])^3, x, 1, -((a + a*Sec[e + f*x])^2*Tan[e + f*x])/(5*f*(c - c*Sec[e + f*x])^3)}
public void test02439() {
	check("Integrate[(Sec[e + f*x]*(a + a*Sec[e + f*x])^2)/(c - c*Sec[e + f*x])^3, x]", "-((a + a*Sec[e + f*x])^2*Tan[e + f*x])/(5*f*(c - c*Sec[e + f*x])^3)");

}

// {(Sec[e + f*x]*(a + a*Sec[e + f*x])^3)/(c - c*Sec[e + f*x])^4, x, 1, -((a + a*Sec[e + f*x])^3*Tan[e + f*x])/(7*f*(c - c*Sec[e + f*x])^4)}
public void test02440() {
	check("Integrate[(Sec[e + f*x]*(a + a*Sec[e + f*x])^3)/(c - c*Sec[e + f*x])^4, x]", "-((a + a*Sec[e + f*x])^3*Tan[e + f*x])/(7*f*(c - c*Sec[e + f*x])^4)");

}

// {(Sec[e + f*x]*(c - c*Sec[e + f*x]))/(a + a*Sec[e + f*x])^2, x, 1, ((c - c*Sec[e + f*x])*Tan[e + f*x])/(3*f*(a + a*Sec[e + f*x])^2)}
public void test02441() {
	check("Integrate[(Sec[e + f*x]*(c - c*Sec[e + f*x]))/(a + a*Sec[e + f*x])^2, x]", "((c - c*Sec[e + f*x])*Tan[e + f*x])/(3*f*(a + a*Sec[e + f*x])^2)");

}

// {(Sec[e + f*x]*(c - c*Sec[e + f*x])^2)/(a + a*Sec[e + f*x])^3, x, 1, ((c - c*Sec[e + f*x])^2*Tan[e + f*x])/(5*f*(a + a*Sec[e + f*x])^3)}
public void test02442() {
	check("Integrate[(Sec[e + f*x]*(c - c*Sec[e + f*x])^2)/(a + a*Sec[e + f*x])^3, x]", "((c - c*Sec[e + f*x])^2*Tan[e + f*x])/(5*f*(a + a*Sec[e + f*x])^3)");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])*Sqrt[c - c*Sec[e + f*x]], x, 1, (-2*c*(a + a*Sec[e + f*x])*Tan[e + f*x])/(3*f*Sqrt[c - c*Sec[e + f*x]])}
public void test02443() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])*Sqrt[c - c*Sec[e + f*x]], x]", "(-2*c*(a + a*Sec[e + f*x])*Tan[e + f*x])/(3*f*Sqrt[c - c*Sec[e + f*x]])");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])^2*Sqrt[c - c*Sec[e + f*x]], x, 1, (-2*c*(a + a*Sec[e + f*x])^2*Tan[e + f*x])/(5*f*Sqrt[c - c*Sec[e + f*x]])}
public void test02444() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])^2*Sqrt[c - c*Sec[e + f*x]], x]", "(-2*c*(a + a*Sec[e + f*x])^2*Tan[e + f*x])/(5*f*Sqrt[c - c*Sec[e + f*x]])");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])^3*Sqrt[c - c*Sec[e + f*x]], x, 1, (-2*c*(a + a*Sec[e + f*x])^3*Tan[e + f*x])/(7*f*Sqrt[c - c*Sec[e + f*x]])}
public void test02445() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])^3*Sqrt[c - c*Sec[e + f*x]], x]", "(-2*c*(a + a*Sec[e + f*x])^3*Tan[e + f*x])/(7*f*Sqrt[c - c*Sec[e + f*x]])");

}

// {(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x]), x, 1, (2*c*Tan[e + f*x])/(f*(a + a*Sec[e + f*x])*Sqrt[c - c*Sec[e + f*x]])}
public void test02446() {
	check("Integrate[(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x]), x]", "(2*c*Tan[e + f*x])/(f*(a + a*Sec[e + f*x])*Sqrt[c - c*Sec[e + f*x]])");

}

// {(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^2, x, 1, (2*c*Tan[e + f*x])/(3*f*(a + a*Sec[e + f*x])^2*Sqrt[c - c*Sec[e + f*x]])}
public void test02447() {
	check("Integrate[(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^2, x]", "(2*c*Tan[e + f*x])/(3*f*(a + a*Sec[e + f*x])^2*Sqrt[c - c*Sec[e + f*x]])");

}

// {(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^3, x, 1, (2*c*Tan[e + f*x])/(5*f*(a + a*Sec[e + f*x])^3*Sqrt[c - c*Sec[e + f*x]])}
public void test02448() {
	check("Integrate[(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^3, x]", "(2*c*Tan[e + f*x])/(5*f*(a + a*Sec[e + f*x])^3*Sqrt[c - c*Sec[e + f*x]])");

}

// {Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]]*(c - c*Sec[e + f*x])^(5/2), x, 1, (a*(c - c*Sec[e + f*x])^(5/2)*Tan[e + f*x])/(3*f*Sqrt[a + a*Sec[e + f*x]])}
public void test02449() {
	check("Integrate[Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]]*(c - c*Sec[e + f*x])^(5/2), x]", "(a*(c - c*Sec[e + f*x])^(5/2)*Tan[e + f*x])/(3*f*Sqrt[a + a*Sec[e + f*x]])");

}

// {Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]]*(c - c*Sec[e + f*x])^(3/2), x, 1, (a*(c - c*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(2*f*Sqrt[a + a*Sec[e + f*x]])}
public void test02450() {
	check("Integrate[Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]]*(c - c*Sec[e + f*x])^(3/2), x]", "(a*(c - c*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(2*f*Sqrt[a + a*Sec[e + f*x]])");

}

// {Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]]*Sqrt[c - c*Sec[e + f*x]], x, 1, -((c*Sqrt[a + a*Sec[e + f*x]]*Tan[e + f*x])/(f*Sqrt[c - c*Sec[e + f*x]]))}
public void test02451() {
	check("Integrate[Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]]*Sqrt[c - c*Sec[e + f*x]], x]", "-((c*Sqrt[a + a*Sec[e + f*x]]*Tan[e + f*x])/(f*Sqrt[c - c*Sec[e + f*x]]))");

}

// {(Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]])/Sqrt[c - c*Sec[e + f*x]], x, 1, (a*Log[1 - Sec[e + f*x]]*Tan[e + f*x])/(f*Sqrt[a + a*Sec[e + f*x]]*Sqrt[c - c*Sec[e + f*x]])}
public void test02452() {
	check("Integrate[(Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]])/Sqrt[c - c*Sec[e + f*x]], x]", "(a*Log[1 - Sec[e + f*x]]*Tan[e + f*x])/(f*Sqrt[a + a*Sec[e + f*x]]*Sqrt[c - c*Sec[e + f*x]])");

}

// {(Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]])/(c - c*Sec[e + f*x])^(3/2), x, 1, -(Sqrt[a + a*Sec[e + f*x]]*Tan[e + f*x])/(2*f*(c - c*Sec[e + f*x])^(3/2))}
public void test02453() {
	check("Integrate[(Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]])/(c - c*Sec[e + f*x])^(3/2), x]", "-(Sqrt[a + a*Sec[e + f*x]]*Tan[e + f*x])/(2*f*(c - c*Sec[e + f*x])^(3/2))");

}

// {(Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]])/(c - c*Sec[e + f*x])^(5/2), x, 1, -(a*Tan[e + f*x])/(2*f*Sqrt[a + a*Sec[e + f*x]]*(c - c*Sec[e + f*x])^(5/2))}
public void test02454() {
	check("Integrate[(Sec[e + f*x]*Sqrt[a + a*Sec[e + f*x]])/(c - c*Sec[e + f*x])^(5/2), x]", "-(a*Tan[e + f*x])/(2*f*Sqrt[a + a*Sec[e + f*x]]*(c - c*Sec[e + f*x])^(5/2))");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])^(3/2)*Sqrt[c - c*Sec[e + f*x]], x, 1, -(c*(a + a*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(2*f*Sqrt[c - c*Sec[e + f*x]])}
public void test02455() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])^(3/2)*Sqrt[c - c*Sec[e + f*x]], x]", "-(c*(a + a*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(2*f*Sqrt[c - c*Sec[e + f*x]])");

}

// {(Sec[e + f*x]*(a + a*Sec[e + f*x])^(3/2))/(c - c*Sec[e + f*x])^(5/2), x, 1, -((a + a*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(4*f*(c - c*Sec[e + f*x])^(5/2))}
public void test02456() {
	check("Integrate[(Sec[e + f*x]*(a + a*Sec[e + f*x])^(3/2))/(c - c*Sec[e + f*x])^(5/2), x]", "-((a + a*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(4*f*(c - c*Sec[e + f*x])^(5/2))");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])^(5/2)*Sqrt[c - c*Sec[e + f*x]], x, 1, -(c*(a + a*Sec[e + f*x])^(5/2)*Tan[e + f*x])/(3*f*Sqrt[c - c*Sec[e + f*x]])}
public void test02457() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])^(5/2)*Sqrt[c - c*Sec[e + f*x]], x]", "-(c*(a + a*Sec[e + f*x])^(5/2)*Tan[e + f*x])/(3*f*Sqrt[c - c*Sec[e + f*x]])");

}

// {(Sec[e + f*x]*(a + a*Sec[e + f*x])^(5/2))/(c - c*Sec[e + f*x])^(7/2), x, 1, -((a + a*Sec[e + f*x])^(5/2)*Tan[e + f*x])/(6*f*(c - c*Sec[e + f*x])^(7/2))}
public void test02458() {
	check("Integrate[(Sec[e + f*x]*(a + a*Sec[e + f*x])^(5/2))/(c - c*Sec[e + f*x])^(7/2), x]", "-((a + a*Sec[e + f*x])^(5/2)*Tan[e + f*x])/(6*f*(c - c*Sec[e + f*x])^(7/2))");

}

// {(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/Sqrt[a + a*Sec[e + f*x]], x, 1, -((c*Log[1 + Sec[e + f*x]]*Tan[e + f*x])/(f*Sqrt[a + a*Sec[e + f*x]]*Sqrt[c - c*Sec[e + f*x]]))}
public void test02459() {
	check("Integrate[(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/Sqrt[a + a*Sec[e + f*x]], x]", "-((c*Log[1 + Sec[e + f*x]]*Tan[e + f*x])/(f*Sqrt[a + a*Sec[e + f*x]]*Sqrt[c - c*Sec[e + f*x]]))");

}

// {(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^(3/2), x, 1, (Sqrt[c - c*Sec[e + f*x]]*Tan[e + f*x])/(2*f*(a + a*Sec[e + f*x])^(3/2))}
public void test02460() {
	check("Integrate[(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^(3/2), x]", "(Sqrt[c - c*Sec[e + f*x]]*Tan[e + f*x])/(2*f*(a + a*Sec[e + f*x])^(3/2))");

}

// {(Sec[e + f*x]*(c - c*Sec[e + f*x])^(3/2))/(a + a*Sec[e + f*x])^(5/2), x, 1, ((c - c*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(4*f*(a + a*Sec[e + f*x])^(5/2))}
public void test02461() {
	check("Integrate[(Sec[e + f*x]*(c - c*Sec[e + f*x])^(3/2))/(a + a*Sec[e + f*x])^(5/2), x]", "((c - c*Sec[e + f*x])^(3/2)*Tan[e + f*x])/(4*f*(a + a*Sec[e + f*x])^(5/2))");

}

// {(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^(5/2), x, 1, (c*Tan[e + f*x])/(2*f*(a + a*Sec[e + f*x])^(5/2)*Sqrt[c - c*Sec[e + f*x]])}
public void test02462() {
	check("Integrate[(Sec[e + f*x]*Sqrt[c - c*Sec[e + f*x]])/(a + a*Sec[e + f*x])^(5/2), x]", "(c*Tan[e + f*x])/(2*f*(a + a*Sec[e + f*x])^(5/2)*Sqrt[c - c*Sec[e + f*x]])");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])^m*Sqrt[c - c*Sec[e + f*x]], x, 1, (-2*c*(a + a*Sec[e + f*x])^m*Tan[e + f*x])/(f*(1 + 2*m)*Sqrt[c - c*Sec[e + f*x]])}
public void test02463() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])^m*Sqrt[c - c*Sec[e + f*x]], x]", "(-2*c*(a + a*Sec[e + f*x])^m*Tan[e + f*x])/(f*(1 + 2*m)*Sqrt[c - c*Sec[e + f*x]])");

}

// {Sec[e + f*x]*(a + a*Sec[e + f*x])^m*(c - c*Sec[e + f*x])^(-1 - m), x, 1, -(((a + a*Sec[e + f*x])^m*(c - c*Sec[e + f*x])^(-1 - m)*Tan[e + f*x])/(f*(1 + 2*m)))}
public void test02464() {
	check("Integrate[Sec[e + f*x]*(a + a*Sec[e + f*x])^m*(c - c*Sec[e + f*x])^(-1 - m), x]", "-(((a + a*Sec[e + f*x])^m*(c - c*Sec[e + f*x])^(-1 - m)*Tan[e + f*x])/(f*(1 + 2*m)))");

}

// {(Sec[e + f*x]*Sqrt[a + b*Sec[e + f*x]])/Sqrt[c + d*Sec[e + f*x]], x, 1, (2*Cot[e + f*x]*EllipticPi[(b*(c + d))/((a + b)*d), ArcSin[(Sqrt[(a + b)/(c + d)]*Sqrt[c + d*Sec[e + f*x]])/Sqrt[a + b*Sec[e + f*x]]], ((a - b)*(c + d))/((a + b)*(c - d))]*Sqrt[-(((b*c - a*d)*(1 - Sec[e + f*x]))/((c + d)*(a + b*Sec[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sec[e + f*x]))/((c - d)*(a + b*Sec[e + f*x]))]*(a + b*Sec[e + f*x]))/(d*Sqrt[(a + b)/(c + d)]*f)}
public void test02465() {
	check("Integrate[(Sec[e + f*x]*Sqrt[a + b*Sec[e + f*x]])/Sqrt[c + d*Sec[e + f*x]], x]", "(2*Cot[e + f*x]*EllipticPi[(b*(c + d))/((a + b)*d), ArcSin[(Sqrt[(a + b)/(c + d)]*Sqrt[c + d*Sec[e + f*x]])/Sqrt[a + b*Sec[e + f*x]]], ((a - b)*(c + d))/((a + b)*(c - d))]*Sqrt[-(((b*c - a*d)*(1 - Sec[e + f*x]))/((c + d)*(a + b*Sec[e + f*x])))]*Sqrt[((b*c - a*d)*(1 + Sec[e + f*x]))/((c - d)*(a + b*Sec[e + f*x]))]*(a + b*Sec[e + f*x]))/(d*Sqrt[(a + b)/(c + d)]*f)");

}

// {Sec[e + f*x]/(Sqrt[a + b*Sec[e + f*x]]*Sqrt[c + d*Sec[e + f*x]]), x, 1, (2*Sqrt[a + b]*Cot[e + f*x]*EllipticF[ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sec[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sec[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sqrt[((b*c - a*d)*(1 - Sec[e + f*x]))/((a + b)*(c + d*Sec[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sec[e + f*x]))/((a - b)*(c + d*Sec[e + f*x])))]*(c + d*Sec[e + f*x]))/(Sqrt[c + d]*(b*c - a*d)*f)}
public void test02466() {
	check("Integrate[Sec[e + f*x]/(Sqrt[a + b*Sec[e + f*x]]*Sqrt[c + d*Sec[e + f*x]]), x]", "(2*Sqrt[a + b]*Cot[e + f*x]*EllipticF[ArcSin[(Sqrt[c + d]*Sqrt[a + b*Sec[e + f*x]])/(Sqrt[a + b]*Sqrt[c + d*Sec[e + f*x]])], ((a + b)*(c - d))/((a - b)*(c + d))]*Sqrt[((b*c - a*d)*(1 - Sec[e + f*x]))/((a + b)*(c + d*Sec[e + f*x]))]*Sqrt[-(((b*c - a*d)*(1 + Sec[e + f*x]))/((a - b)*(c + d*Sec[e + f*x])))]*(c + d*Sec[e + f*x]))/(Sqrt[c + d]*(b*c - a*d)*f)");

}

// {Sec[e + f*x]/(Sqrt[2 + 3*Sec[e + f*x]]*Sqrt[-4 + 5*Sec[e + f*x]]), x, 1, (2*Cot[e + f*x]*EllipticF[ArcSin[Sqrt[2 + 3*Sec[e + f*x]]/(Sqrt[5]*Sqrt[-4 + 5*Sec[e + f*x]])], 45]*(4 - 5*Sec[e + f*x])*Sqrt[(1 - Sec[e + f*x])/(4 - 5*Sec[e + f*x])]*Sqrt[(1 + Sec[e + f*x])/(4 - 5*Sec[e + f*x])])/f}
public void test02467() {
	check("Integrate[Sec[e + f*x]/(Sqrt[2 + 3*Sec[e + f*x]]*Sqrt[-4 + 5*Sec[e + f*x]]), x]", "(2*Cot[e + f*x]*EllipticF[ArcSin[Sqrt[2 + 3*Sec[e + f*x]]/(Sqrt[5]*Sqrt[-4 + 5*Sec[e + f*x]])], 45]*(4 - 5*Sec[e + f*x])*Sqrt[(1 - Sec[e + f*x])/(4 - 5*Sec[e + f*x])]*Sqrt[(1 + Sec[e + f*x])/(4 - 5*Sec[e + f*x])])/f");

}

// {Sec[e + f*x]/(Sqrt[4 - 5*Sec[e + f*x]]*Sqrt[2 + 3*Sec[e + f*x]]), x, 1, (((2*I)/3)*Cot[e + f*x]*EllipticF[I*ArcSinh[(Sqrt[5]*Sqrt[4 - 5*Sec[e + f*x]])/Sqrt[2 + 3*Sec[e + f*x]]], 1/45]*Sqrt[(1 - Sec[e + f*x])/(2 + 3*Sec[e + f*x])]*Sqrt[(1 + Sec[e + f*x])/(2 + 3*Sec[e + f*x])]*(2 + 3*Sec[e + f*x]))/(Sqrt[5]*f)}
public void test02468() {
	check("Integrate[Sec[e + f*x]/(Sqrt[4 - 5*Sec[e + f*x]]*Sqrt[2 + 3*Sec[e + f*x]]), x]", "(((2*I)/3)*Cot[e + f*x]*EllipticF[I*ArcSinh[(Sqrt[5]*Sqrt[4 - 5*Sec[e + f*x]])/Sqrt[2 + 3*Sec[e + f*x]]], 1/45]*Sqrt[(1 - Sec[e + f*x])/(2 + 3*Sec[e + f*x])]*Sqrt[(1 + Sec[e + f*x])/(2 + 3*Sec[e + f*x])]*(2 + 3*Sec[e + f*x]))/(Sqrt[5]*f)");

}

// {(Sec[e + f*x]*Sqrt[a + b*Sec[e + f*x]])/(c + c*Sec[e + f*x]), x, 1, (EllipticE[ArcSin[Tan[e + f*x]/(1 + Sec[e + f*x])], (a - b)/(a + b)]*Sqrt[(1 + Sec[e + f*x])^(-1)]*Sqrt[a + b*Sec[e + f*x]])/(c*f*Sqrt[(a + b*Sec[e + f*x])/((a + b)*(1 + Sec[e + f*x]))])}
public void test02469() {
	check("Integrate[(Sec[e + f*x]*Sqrt[a + b*Sec[e + f*x]])/(c + c*Sec[e + f*x]), x]", "(EllipticE[ArcSin[Tan[e + f*x]/(1 + Sec[e + f*x])], (a - b)/(a + b)]*Sqrt[(1 + Sec[e + f*x])^(-1)]*Sqrt[a + b*Sec[e + f*x]])/(c*f*Sqrt[(a + b*Sec[e + f*x])/((a + b)*(1 + Sec[e + f*x]))])");

}

// {Sec[e + f*x]/(Sqrt[a + b*Sec[e + f*x]]*(c + d*Sec[e + f*x])), x, 1, (2*EllipticPi[(2*d)/(c + d), ArcSin[Sqrt[1 - Sec[e + f*x]]/Sqrt[2]], (2*b)/(a + b)]*Sqrt[(a + b*Sec[e + f*x])/(a + b)]*Tan[e + f*x])/((c + d)*f*Sqrt[a + b*Sec[e + f*x]]*Sqrt[-Tan[e + f*x]^2])}
public void test02470() {
	check("Integrate[Sec[e + f*x]/(Sqrt[a + b*Sec[e + f*x]]*(c + d*Sec[e + f*x])), x]", "(2*EllipticPi[(2*d)/(c + d), ArcSin[Sqrt[1 - Sec[e + f*x]]/Sqrt[2]], (2*b)/(a + b)]*Sqrt[(a + b*Sec[e + f*x])/(a + b)]*Tan[e + f*x])/((c + d)*f*Sqrt[a + b*Sec[e + f*x]]*Sqrt[-Tan[e + f*x]^2])");

}

// {(Sec[e + f*x]*(A + A*Sec[e + f*x]))/Sqrt[a + b*Sec[e + f*x]], x, 1, (-2*A*(a - b)*Sqrt[a + b]*Cot[e + f*x]*EllipticE[ArcSin[Sqrt[a + b*Sec[e + f*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[e + f*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[e + f*x]))/(a - b))])/(b^2*f)}
public void test02471() {
	check("Integrate[(Sec[e + f*x]*(A + A*Sec[e + f*x]))/Sqrt[a + b*Sec[e + f*x]], x]", "(-2*A*(a - b)*Sqrt[a + b]*Cot[e + f*x]*EllipticE[ArcSin[Sqrt[a + b*Sec[e + f*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sec[e + f*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[e + f*x]))/(a - b))])/(b^2*f)");

}

// {(Sec[e + f*x]*(A - A*Sec[e + f*x]))/Sqrt[a + b*Sec[e + f*x]], x, 1, (2*A*Sqrt[a - b]*(a + b)*Cot[e + f*x]*EllipticE[ArcSin[Sqrt[a + b*Sec[e + f*x]]/Sqrt[a - b]], (a - b)/(a + b)]*Sqrt[(b*(1 - Sec[e + f*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[e + f*x]))/(a - b))])/(b^2*f)}
public void test02472() {
	check("Integrate[(Sec[e + f*x]*(A - A*Sec[e + f*x]))/Sqrt[a + b*Sec[e + f*x]], x]", "(2*A*Sqrt[a - b]*(a + b)*Cot[e + f*x]*EllipticE[ArcSin[Sqrt[a + b*Sec[e + f*x]]/Sqrt[a - b]], (a - b)/(a + b)]*Sqrt[(b*(1 - Sec[e + f*x]))/(a + b)]*Sqrt[-((b*(1 + Sec[e + f*x]))/(a - b))])/(b^2*f)");

}

// {Sec[c + d*x]^m*(-((C*m)/(1 + m)) + C*Sec[c + d*x]^2), x, 1, (C*Sec[c + d*x]^(1 + m)*Sin[c + d*x])/(d*(1 + m))}
public void test02473() {
	check("Integrate[Sec[c + d*x]^m*(-((C*m)/(1 + m)) + C*Sec[c + d*x]^2), x]", "(C*Sec[c + d*x]^(1 + m)*Sin[c + d*x])/(d*(1 + m))");

}

// {Sec[c + d*x]^m*(A - (A*(1 + m)*Sec[c + d*x]^2)/m), x, 1, -((A*Sec[c + d*x]^(1 + m)*Sin[c + d*x])/(d*m))}
public void test02474() {
	check("Integrate[Sec[c + d*x]^m*(A - (A*(1 + m)*Sec[c + d*x]^2)/m), x]", "-((A*Sec[c + d*x]^(1 + m)*Sin[c + d*x])/(d*m))");

}

// {(3 + 3*Sec[c + d*x]^2)/Sqrt[Sec[c + d*x]], x, 1, (6*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/d}
public void test02475() {
	check("Integrate[(3 + 3*Sec[c + d*x]^2)/Sqrt[Sec[c + d*x]], x]", "(6*Sqrt[Sec[c + d*x]]*Sin[c + d*x])/d");

}

// {Sec[e + f*x]^m*(m - (1 + m)*Sec[e + f*x]^2), x, 1, -((Sec[e + f*x]^(1 + m)*Sin[e + f*x])/f)}
public void test02476() {
	check("Integrate[Sec[e + f*x]^m*(m - (1 + m)*Sec[e + f*x]^2), x]", "-((Sec[e + f*x]^(1 + m)*Sin[e + f*x])/f)");

}

// {Sec[e + f*x]^5*(5 - 6*Sec[e + f*x]^2), x, 1, -((Sec[e + f*x]^5*Tan[e + f*x])/f)}
public void test02477() {
	check("Integrate[Sec[e + f*x]^5*(5 - 6*Sec[e + f*x]^2), x]", "-((Sec[e + f*x]^5*Tan[e + f*x])/f)");

}

// {Sec[e + f*x]^4*(4 - 5*Sec[e + f*x]^2), x, 1, -((Sec[e + f*x]^4*Tan[e + f*x])/f)}
public void test02478() {
	check("Integrate[Sec[e + f*x]^4*(4 - 5*Sec[e + f*x]^2), x]", "-((Sec[e + f*x]^4*Tan[e + f*x])/f)");

}

// {Sec[e + f*x]^3*(3 - 4*Sec[e + f*x]^2), x, 1, -((Sec[e + f*x]^3*Tan[e + f*x])/f)}
public void test02479() {
	check("Integrate[Sec[e + f*x]^3*(3 - 4*Sec[e + f*x]^2), x]", "-((Sec[e + f*x]^3*Tan[e + f*x])/f)");

}

// {Sec[e + f*x]^2*(2 - 3*Sec[e + f*x]^2), x, 1, -((Sec[e + f*x]^2*Tan[e + f*x])/f)}
public void test02480() {
	check("Integrate[Sec[e + f*x]^2*(2 - 3*Sec[e + f*x]^2), x]", "-((Sec[e + f*x]^2*Tan[e + f*x])/f)");

}

// {Sec[e + f*x]*(1 - 2*Sec[e + f*x]^2), x, 1, -((Sec[e + f*x]*Tan[e + f*x])/f)}
public void test02481() {
	check("Integrate[Sec[e + f*x]*(1 - 2*Sec[e + f*x]^2), x]", "-((Sec[e + f*x]*Tan[e + f*x])/f)");

}

// {-Cos[e + f*x], x, 1, -(Sin[e + f*x]/f)}
public void test02482() {
	check("Integrate[-Cos[e + f*x], x]", "-(Sin[e + f*x]/f)");

}

// {Cos[e + f*x]^2*(-2 + Sec[e + f*x]^2), x, 1, -((Cos[e + f*x]*Sin[e + f*x])/f)}
public void test02483() {
	check("Integrate[Cos[e + f*x]^2*(-2 + Sec[e + f*x]^2), x]", "-((Cos[e + f*x]*Sin[e + f*x])/f)");

}

// {Cos[e + f*x]^3*(-3 + 2*Sec[e + f*x]^2), x, 1, -((Cos[e + f*x]^2*Sin[e + f*x])/f)}
public void test02484() {
	check("Integrate[Cos[e + f*x]^3*(-3 + 2*Sec[e + f*x]^2), x]", "-((Cos[e + f*x]^2*Sin[e + f*x])/f)");

}

// {Cos[e + f*x]^4*(-4 + 3*Sec[e + f*x]^2), x, 1, -((Cos[e + f*x]^3*Sin[e + f*x])/f)}
public void test02485() {
	check("Integrate[Cos[e + f*x]^4*(-4 + 3*Sec[e + f*x]^2), x]", "-((Cos[e + f*x]^3*Sin[e + f*x])/f)");

}

// {Cos[e + f*x]^5*(-5 + 4*Sec[e + f*x]^2), x, 1, -((Cos[e + f*x]^4*Sin[e + f*x])/f)}
public void test02486() {
	check("Integrate[Cos[e + f*x]^5*(-5 + 4*Sec[e + f*x]^2), x]", "-((Cos[e + f*x]^4*Sin[e + f*x])/f)");

}

// {Csc[a + b*x], x, 1, -(ArcTanh[Cos[a + b*x]]/b)}
public void test02487() {
	check("Integrate[Csc[a + b*x], x]", "-(ArcTanh[Cos[a + b*x]]/b)");

}

// {(e*x)^m*(a + b*Csc[c + d*x^n])^p, x, 1, ((e*x)^m*Unintegrable[x^m*(a + b*Csc[c + d*x^n])^p, x])/x^m}
public void test02488() {
	check("Integrate[(e*x)^m*(a + b*Csc[c + d*x^n])^p, x]", "((e*x)^m*Unintegrable[x^m*(a + b*Csc[c + d*x^n])^p, x])/x^m");

}

// {Csc[x]/(a + a*Csc[x]), x, 1, -(Cot[x]/(a + a*Csc[x]))}
public void test02489() {
	check("Integrate[Csc[x]/(a + a*Csc[x]), x]", "-(Cot[x]/(a + a*Csc[x]))");

}

// {Sin[a + b*x]*Sin[2*a + 2*b*x], x, 1, Sin[a + b*x]/(2*b) - Sin[3*a + 3*b*x]/(6*b)}
public void test02490() {
	check("Integrate[Sin[a + b*x]*Sin[2*a + 2*b*x], x]", "Sin[a + b*x]/(2*b) - Sin[3*a + 3*b*x]/(6*b)");

}

// {Sin[a + b*x]/Sqrt[Sin[2*a + 2*b*x]], x, 1, -ArcSin[Cos[a + b*x] - Sin[a + b*x]]/(2*b) - Log[Cos[a + b*x] + Sin[a + b*x] + Sqrt[Sin[2*a + 2*b*x]]]/(2*b)}
public void test02491() {
	check("Integrate[Sin[a + b*x]/Sqrt[Sin[2*a + 2*b*x]], x]", "-ArcSin[Cos[a + b*x] - Sin[a + b*x]]/(2*b) - Log[Cos[a + b*x] + Sin[a + b*x] + Sqrt[Sin[2*a + 2*b*x]]]/(2*b)");

}

// {Sin[a + b*x]/Sin[2*a + 2*b*x]^(3/2), x, 1, Sin[a + b*x]/(b*Sqrt[Sin[2*a + 2*b*x]])}
public void test02492() {
	check("Integrate[Sin[a + b*x]/Sin[2*a + 2*b*x]^(3/2), x]", "Sin[a + b*x]/(b*Sqrt[Sin[2*a + 2*b*x]])");

}

// {Sin[a + b*x]^3/Sin[2*a + 2*b*x]^(5/2), x, 1, Sin[a + b*x]^3/(3*b*Sin[2*a + 2*b*x]^(3/2))}
public void test02493() {
	check("Integrate[Sin[a + b*x]^3/Sin[2*a + 2*b*x]^(5/2), x]", "Sin[a + b*x]^3/(3*b*Sin[2*a + 2*b*x]^(3/2))");

}

// {Csc[a + b*x]/Sqrt[Sin[2*a + 2*b*x]], x, 1, -((Csc[a + b*x]*Sqrt[Sin[2*a + 2*b*x]])/b)}
public void test02494() {
	check("Integrate[Csc[a + b*x]/Sqrt[Sin[2*a + 2*b*x]], x]", "-((Csc[a + b*x]*Sqrt[Sin[2*a + 2*b*x]])/b)");

}

// {Csc[a + b*x]^3*Sqrt[Sin[2*a + 2*b*x]], x, 1, -(Csc[a + b*x]^3*Sin[2*a + 2*b*x]^(3/2))/(3*b)}
public void test02495() {
	check("Integrate[Csc[a + b*x]^3*Sqrt[Sin[2*a + 2*b*x]], x]", "-(Csc[a + b*x]^3*Sin[2*a + 2*b*x]^(3/2))/(3*b)");

}

// {Cos[a + b*x]*Sin[2*a + 2*b*x], x, 1, -Cos[a + b*x]/(2*b) - Cos[3*a + 3*b*x]/(6*b)}
public void test02496() {
	check("Integrate[Cos[a + b*x]*Sin[2*a + 2*b*x], x]", "-Cos[a + b*x]/(2*b) - Cos[3*a + 3*b*x]/(6*b)");

}

// {Cos[a + b*x]/Sqrt[Sin[2*a + 2*b*x]], x, 1, -ArcSin[Cos[a + b*x] - Sin[a + b*x]]/(2*b) + Log[Cos[a + b*x] + Sin[a + b*x] + Sqrt[Sin[2*a + 2*b*x]]]/(2*b)}
public void test02497() {
	check("Integrate[Cos[a + b*x]/Sqrt[Sin[2*a + 2*b*x]], x]", "-ArcSin[Cos[a + b*x] - Sin[a + b*x]]/(2*b) + Log[Cos[a + b*x] + Sin[a + b*x] + Sqrt[Sin[2*a + 2*b*x]]]/(2*b)");

}

// {Cos[a + b*x]/Sin[2*a + 2*b*x]^(3/2), x, 1, -(Cos[a + b*x]/(b*Sqrt[Sin[2*a + 2*b*x]]))}
public void test02498() {
	check("Integrate[Cos[a + b*x]/Sin[2*a + 2*b*x]^(3/2), x]", "-(Cos[a + b*x]/(b*Sqrt[Sin[2*a + 2*b*x]]))");

}

// {Cos[a + b*x]^3/Sin[2*a + 2*b*x]^(5/2), x, 1, -Cos[a + b*x]^3/(3*b*Sin[2*a + 2*b*x]^(3/2))}
public void test02499() {
	check("Integrate[Cos[a + b*x]^3/Sin[2*a + 2*b*x]^(5/2), x]", "-Cos[a + b*x]^3/(3*b*Sin[2*a + 2*b*x]^(3/2))");

}

// {Cos[x]/Sqrt[Sin[2*x]], x, 1, -ArcSin[Cos[x] - Sin[x]]/2 + Log[Cos[x] + Sin[x] + Sqrt[Sin[2*x]]]/2}
public void test02500() {
	check("Integrate[Cos[x]/Sqrt[Sin[2*x]], x]", "-ArcSin[Cos[x] - Sin[x]]/2 + Log[Cos[x] + Sin[x] + Sqrt[Sin[2*x]]]/2");

}

// {(a*Cos[x] + b*Sin[x])^(-2), x, 1, Sin[x]/(a*(a*Cos[x] + b*Sin[x]))}
public void test02501() {
	check("Integrate[(a*Cos[x] + b*Sin[x])^(-2), x]", "Sin[x]/(a*(a*Cos[x] + b*Sin[x]))");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n/Sin[c + d*x]^n, x, 1, ((-I/2)*Hypergeometric2F1[1, n, 1 + n, (-I/2)*(I + Cot[c + d*x])]*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n)/(d*n*Sin[c + d*x]^n)}
public void test02502() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n/Sin[c + d*x]^n, x]", "((-I/2)*Hypergeometric2F1[1, n, 1 + n, (-I/2)*(I + Cot[c + d*x])]*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n)/(d*n*Sin[c + d*x]^n)");

}

// {(a*Cos[c + d*x] + b*Sin[c + d*x])^(-2), x, 1, Sin[c + d*x]/(a*d*(a*Cos[c + d*x] + b*Sin[c + d*x]))}
public void test02503() {
	check("Integrate[(a*Cos[c + d*x] + b*Sin[c + d*x])^(-2), x]", "Sin[c + d*x]/(a*d*(a*Cos[c + d*x] + b*Sin[c + d*x]))");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-1), x, 1, I/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x]))}
public void test02504() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-1), x]", "I/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x]))");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-2), x, 1, (I/2)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2)}
public void test02505() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-2), x]", "(I/2)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2)");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-3), x, 1, (I/3)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3)}
public void test02506() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-3), x]", "(I/3)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3)");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n/Cos[c + d*x]^n, x, 1, ((-I/2)*Hypergeometric2F1[1, n, 1 + n, (1 + I*Tan[c + d*x])/2]*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n)/(d*n*Cos[c + d*x]^n)}
public void test02507() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n/Cos[c + d*x]^n, x]", "((-I/2)*Hypergeometric2F1[1, n, 1 + n, (1 + I*Tan[c + d*x])/2]*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n)/(d*n*Cos[c + d*x]^n)");

}

// {(c + d*x)^m*Cot[a + b*x]^2*Csc[a + b*x], x, 1, -Unintegrable[(c + d*x)^m*Csc[a + b*x], x] + Unintegrable[(c + d*x)^m*Csc[a + b*x]^3, x]}
public void test02508() {
	check("Integrate[(c + d*x)^m*Cot[a + b*x]^2*Csc[a + b*x], x]", "-Unintegrable[(c + d*x)^m*Csc[a + b*x], x] + Unintegrable[(c + d*x)^m*Csc[a + b*x]^3, x]");

}

// {(Cot[a + b*x]^2*Csc[a + b*x])/(c + d*x), x, 1, -Unintegrable[Csc[a + b*x]/(c + d*x), x] + Unintegrable[Csc[a + b*x]^3/(c + d*x), x]}
public void test02509() {
	check("Integrate[(Cot[a + b*x]^2*Csc[a + b*x])/(c + d*x), x]", "-Unintegrable[Csc[a + b*x]/(c + d*x), x] + Unintegrable[Csc[a + b*x]^3/(c + d*x), x]");

}

// {(Cot[a + b*x]^2*Csc[a + b*x])/(c + d*x)^2, x, 1, -Unintegrable[Csc[a + b*x]/(c + d*x)^2, x] + Unintegrable[Csc[a + b*x]^3/(c + d*x)^2, x]}
public void test02510() {
	check("Integrate[(Cot[a + b*x]^2*Csc[a + b*x])/(c + d*x)^2, x]", "-Unintegrable[Csc[a + b*x]/(c + d*x)^2, x] + Unintegrable[Csc[a + b*x]^3/(c + d*x)^2, x]");

}

// {(Csc[a + b*x]*Sec[a + b*x])/(c + d*x), x, 1, 2*Unintegrable[Csc[2*a + 2*b*x]/(c + d*x), x]}
public void test02511() {
	check("Integrate[(Csc[a + b*x]*Sec[a + b*x])/(c + d*x), x]", "2*Unintegrable[Csc[2*a + 2*b*x]/(c + d*x), x]");

}

// {(Csc[a + b*x]*Sec[a + b*x])/(c + d*x)^2, x, 1, 2*Unintegrable[Csc[2*a + 2*b*x]/(c + d*x)^2, x]}
public void test02512() {
	check("Integrate[(Csc[a + b*x]*Sec[a + b*x])/(c + d*x)^2, x]", "2*Unintegrable[Csc[2*a + 2*b*x]/(c + d*x)^2, x]");

}

// {(Csc[a + b*x]^2*Sec[a + b*x]^2)/(c + d*x), x, 1, 4*Unintegrable[Csc[2*a + 2*b*x]^2/(c + d*x), x]}
public void test02513() {
	check("Integrate[(Csc[a + b*x]^2*Sec[a + b*x]^2)/(c + d*x), x]", "4*Unintegrable[Csc[2*a + 2*b*x]^2/(c + d*x), x]");

}

// {(Csc[a + b*x]^2*Sec[a + b*x]^2)/(c + d*x)^2, x, 1, 4*Unintegrable[Csc[2*a + 2*b*x]^2/(c + d*x)^2, x]}
public void test02514() {
	check("Integrate[(Csc[a + b*x]^2*Sec[a + b*x]^2)/(c + d*x)^2, x]", "4*Unintegrable[Csc[2*a + 2*b*x]^2/(c + d*x)^2, x]");

}

// {(c + d*x)^m*Sec[a + b*x]*Tan[a + b*x]^2, x, 1, -Unintegrable[(c + d*x)^m*Sec[a + b*x], x] + Unintegrable[(c + d*x)^m*Sec[a + b*x]^3, x]}
public void test02515() {
	check("Integrate[(c + d*x)^m*Sec[a + b*x]*Tan[a + b*x]^2, x]", "-Unintegrable[(c + d*x)^m*Sec[a + b*x], x] + Unintegrable[(c + d*x)^m*Sec[a + b*x]^3, x]");

}

// {(Sec[a + b*x]*Tan[a + b*x]^2)/(c + d*x), x, 1, -Unintegrable[Sec[a + b*x]/(c + d*x), x] + Unintegrable[Sec[a + b*x]^3/(c + d*x), x]}
public void test02516() {
	check("Integrate[(Sec[a + b*x]*Tan[a + b*x]^2)/(c + d*x), x]", "-Unintegrable[Sec[a + b*x]/(c + d*x), x] + Unintegrable[Sec[a + b*x]^3/(c + d*x), x]");

}

// {(Sec[a + b*x]*Tan[a + b*x]^2)/(c + d*x)^2, x, 1, -Unintegrable[Sec[a + b*x]/(c + d*x)^2, x] + Unintegrable[Sec[a + b*x]^3/(c + d*x)^2, x]}
public void test02517() {
	check("Integrate[(Sec[a + b*x]*Tan[a + b*x]^2)/(c + d*x)^2, x]", "-Unintegrable[Sec[a + b*x]/(c + d*x)^2, x] + Unintegrable[Sec[a + b*x]^3/(c + d*x)^2, x]");

}

// {(Csc[a + b*x]^3*Sec[a + b*x]^3)/(c + d*x), x, 1, 8*Unintegrable[Csc[2*a + 2*b*x]^3/(c + d*x), x]}
public void test02518() {
	check("Integrate[(Csc[a + b*x]^3*Sec[a + b*x]^3)/(c + d*x), x]", "8*Unintegrable[Csc[2*a + 2*b*x]^3/(c + d*x), x]");

}

// {(Csc[a + b*x]^3*Sec[a + b*x]^3)/(c + d*x)^2, x, 1, 8*Unintegrable[Csc[2*a + 2*b*x]^3/(c + d*x)^2, x]}
public void test02519() {
	check("Integrate[(Csc[a + b*x]^3*Sec[a + b*x]^3)/(c + d*x)^2, x]", "8*Unintegrable[Csc[2*a + 2*b*x]^3/(c + d*x)^2, x]");

}

// {x^2*Sin[a + b*Log[c*x^n]], x, 1, -((b*n*x^3*Cos[a + b*Log[c*x^n]])/(9 + b^2*n^2)) + (3*x^3*Sin[a + b*Log[c*x^n]])/(9 + b^2*n^2)}
public void test02520() {
	check("Integrate[x^2*Sin[a + b*Log[c*x^n]], x]", "-((b*n*x^3*Cos[a + b*Log[c*x^n]])/(9 + b^2*n^2)) + (3*x^3*Sin[a + b*Log[c*x^n]])/(9 + b^2*n^2)");

}

// {x*Sin[a + b*Log[c*x^n]], x, 1, -((b*n*x^2*Cos[a + b*Log[c*x^n]])/(4 + b^2*n^2)) + (2*x^2*Sin[a + b*Log[c*x^n]])/(4 + b^2*n^2)}
public void test02521() {
	check("Integrate[x*Sin[a + b*Log[c*x^n]], x]", "-((b*n*x^2*Cos[a + b*Log[c*x^n]])/(4 + b^2*n^2)) + (2*x^2*Sin[a + b*Log[c*x^n]])/(4 + b^2*n^2)");

}

// {Sin[a + b*Log[c*x^n]], x, 1, -((b*n*x*Cos[a + b*Log[c*x^n]])/(1 + b^2*n^2)) + (x*Sin[a + b*Log[c*x^n]])/(1 + b^2*n^2)}
public void test02522() {
	check("Integrate[Sin[a + b*Log[c*x^n]], x]", "-((b*n*x*Cos[a + b*Log[c*x^n]])/(1 + b^2*n^2)) + (x*Sin[a + b*Log[c*x^n]])/(1 + b^2*n^2)");

}

// {Sin[a + b*Log[c*x^n]]/x^2, x, 1, -((b*n*Cos[a + b*Log[c*x^n]])/((1 + b^2*n^2)*x)) - Sin[a + b*Log[c*x^n]]/((1 + b^2*n^2)*x)}
public void test02523() {
	check("Integrate[Sin[a + b*Log[c*x^n]]/x^2, x]", "-((b*n*Cos[a + b*Log[c*x^n]])/((1 + b^2*n^2)*x)) - Sin[a + b*Log[c*x^n]]/((1 + b^2*n^2)*x)");

}

// {Sin[a + b*Log[c*x^n]]/x^3, x, 1, -((b*n*Cos[a + b*Log[c*x^n]])/((4 + b^2*n^2)*x^2)) - (2*Sin[a + b*Log[c*x^n]])/((4 + b^2*n^2)*x^2)}
public void test02524() {
	check("Integrate[Sin[a + b*Log[c*x^n]]/x^3, x]", "-((b*n*Cos[a + b*Log[c*x^n]])/((4 + b^2*n^2)*x^2)) - (2*Sin[a + b*Log[c*x^n]])/((4 + b^2*n^2)*x^2)");

}

// {(e*x)^m*Sin[d*(a + b*Log[c*x^n])], x, 1, -((b*d*n*(e*x)^(1 + m)*Cos[d*(a + b*Log[c*x^n])])/(e*((1 + m)^2 + b^2*d^2*n^2))) + ((1 + m)*(e*x)^(1 + m)*Sin[d*(a + b*Log[c*x^n])])/(e*((1 + m)^2 + b^2*d^2*n^2))}
public void test02525() {
	check("Integrate[(e*x)^m*Sin[d*(a + b*Log[c*x^n])], x]", "-((b*d*n*(e*x)^(1 + m)*Cos[d*(a + b*Log[c*x^n])])/(e*((1 + m)^2 + b^2*d^2*n^2))) + ((1 + m)*(e*x)^(1 + m)*Sin[d*(a + b*Log[c*x^n])])/(e*((1 + m)^2 + b^2*d^2*n^2))");

}

// {x^2*Cos[a + b*Log[c*x^n]], x, 1, (3*x^3*Cos[a + b*Log[c*x^n]])/(9 + b^2*n^2) + (b*n*x^3*Sin[a + b*Log[c*x^n]])/(9 + b^2*n^2)}
public void test02526() {
	check("Integrate[x^2*Cos[a + b*Log[c*x^n]], x]", "(3*x^3*Cos[a + b*Log[c*x^n]])/(9 + b^2*n^2) + (b*n*x^3*Sin[a + b*Log[c*x^n]])/(9 + b^2*n^2)");

}

// {x*Cos[a + b*Log[c*x^n]], x, 1, (2*x^2*Cos[a + b*Log[c*x^n]])/(4 + b^2*n^2) + (b*n*x^2*Sin[a + b*Log[c*x^n]])/(4 + b^2*n^2)}
public void test02527() {
	check("Integrate[x*Cos[a + b*Log[c*x^n]], x]", "(2*x^2*Cos[a + b*Log[c*x^n]])/(4 + b^2*n^2) + (b*n*x^2*Sin[a + b*Log[c*x^n]])/(4 + b^2*n^2)");

}

// {Cos[a + b*Log[c*x^n]], x, 1, (x*Cos[a + b*Log[c*x^n]])/(1 + b^2*n^2) + (b*n*x*Sin[a + b*Log[c*x^n]])/(1 + b^2*n^2)}
public void test02528() {
	check("Integrate[Cos[a + b*Log[c*x^n]], x]", "(x*Cos[a + b*Log[c*x^n]])/(1 + b^2*n^2) + (b*n*x*Sin[a + b*Log[c*x^n]])/(1 + b^2*n^2)");

}

// {Cos[a + b*Log[c*x^n]]/x^2, x, 1, -(Cos[a + b*Log[c*x^n]]/((1 + b^2*n^2)*x)) + (b*n*Sin[a + b*Log[c*x^n]])/((1 + b^2*n^2)*x)}
public void test02529() {
	check("Integrate[Cos[a + b*Log[c*x^n]]/x^2, x]", "-(Cos[a + b*Log[c*x^n]]/((1 + b^2*n^2)*x)) + (b*n*Sin[a + b*Log[c*x^n]])/((1 + b^2*n^2)*x)");

}

// {x^m*Cos[a + b*Log[c*x^n]], x, 1, ((1 + m)*x^(1 + m)*Cos[a + b*Log[c*x^n]])/((1 + m)^2 + b^2*n^2) + (b*n*x^(1 + m)*Sin[a + b*Log[c*x^n]])/((1 + m)^2 + b^2*n^2)}
public void test02530() {
	check("Integrate[x^m*Cos[a + b*Log[c*x^n]], x]", "((1 + m)*x^(1 + m)*Cos[a + b*Log[c*x^n]])/((1 + m)^2 + b^2*n^2) + (b*n*x^(1 + m)*Sin[a + b*Log[c*x^n]])/((1 + m)^2 + b^2*n^2)");

}

// {F^(c*(a + b*x))*Sin[d + e*x], x, 1, -((e*F^(c*(a + b*x))*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)) + (b*c*F^(c*(a + b*x))*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)}
public void test02531() {
	check("Integrate[F^(c*(a + b*x))*Sin[d + e*x], x]", "-((e*F^(c*(a + b*x))*Cos[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)) + (b*c*F^(c*(a + b*x))*Log[F]*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)");

}

// {F^(c*(a + b*x))*Csc[d + e*x], x, 1, (-2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, E^((2*I)*(d + e*x))])/(e - I*b*c*Log[F])}
public void test02532() {
	check("Integrate[F^(c*(a + b*x))*Csc[d + e*x], x]", "(-2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, E^((2*I)*(d + e*x))])/(e - I*b*c*Log[F])");

}

// {F^(c*(a + b*x))*Csc[d + e*x]^2, x, 1, (-4*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, E^((2*I)*(d + e*x))])/((2*I)*e + b*c*Log[F])}
public void test02533() {
	check("Integrate[F^(c*(a + b*x))*Csc[d + e*x]^2, x]", "(-4*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, E^((2*I)*(d + e*x))])/((2*I)*e + b*c*Log[F])");

}

// {F^(c*(a + b*x))*Cos[d + e*x], x, 1, (b*c*F^(c*(a + b*x))*Cos[d + e*x]*Log[F])/(e^2 + b^2*c^2*Log[F]^2) + (e*F^(c*(a + b*x))*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)}
public void test02534() {
	check("Integrate[F^(c*(a + b*x))*Cos[d + e*x], x]", "(b*c*F^(c*(a + b*x))*Cos[d + e*x]*Log[F])/(e^2 + b^2*c^2*Log[F]^2) + (e*F^(c*(a + b*x))*Sin[d + e*x])/(e^2 + b^2*c^2*Log[F]^2)");

}

// {F^(c*(a + b*x))*Sec[d + e*x], x, 1, (2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, -E^((2*I)*(d + e*x))])/(I*e + b*c*Log[F])}
public void test02535() {
	check("Integrate[F^(c*(a + b*x))*Sec[d + e*x], x]", "(2*E^(I*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[1, (e - I*b*c*Log[F])/(2*e), (3 - (I*b*c*Log[F])/e)/2, -E^((2*I)*(d + e*x))])/(I*e + b*c*Log[F])");

}

// {F^(c*(a + b*x))*Sec[d + e*x]^2, x, 1, (4*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, -E^((2*I)*(d + e*x))])/((2*I)*e + b*c*Log[F])}
public void test02536() {
	check("Integrate[F^(c*(a + b*x))*Sec[d + e*x]^2, x]", "(4*E^((2*I)*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 - ((I/2)*b*c*Log[F])/e, 2 - ((I/2)*b*c*Log[F])/e, -E^((2*I)*(d + e*x))])/((2*I)*e + b*c*Log[F])");

}

// {F^(c*(a + b*x))*(f*x)^m*Csc[d + e*x], x, 1, CannotIntegrate[F^(a*c + b*c*x)*(f*x)^m*Csc[d + e*x], x]}
public void test02537() {
	check("Integrate[F^(c*(a + b*x))*(f*x)^m*Csc[d + e*x], x]", "CannotIntegrate[F^(a*c + b*c*x)*(f*x)^m*Csc[d + e*x], x]");

}

// {F^(c*(a + b*x))*(f*x)^m*Csc[d + e*x]^2, x, 1, CannotIntegrate[F^(a*c + b*c*x)*(f*x)^m*Csc[d + e*x]^2, x]}
public void test02538() {
	check("Integrate[F^(c*(a + b*x))*(f*x)^m*Csc[d + e*x]^2, x]", "CannotIntegrate[F^(a*c + b*c*x)*(f*x)^m*Csc[d + e*x]^2, x]");

}

// {F^(c*(a + b*x))*(e*Cos[d + e*x] + b*c*Log[F]*Sin[d + e*x]), x, 1, F^(c*(a + b*x))*Sin[d + e*x]}
public void test02539() {
	check("Integrate[F^(c*(a + b*x))*(e*Cos[d + e*x] + b*c*Log[F]*Sin[d + e*x]), x]", "F^(c*(a + b*x))*Sin[d + e*x]");

}

// {E^x*Sin[a + b*x], x, 1, -((b*E^x*Cos[a + b*x])/(1 + b^2)) + (E^x*Sin[a + b*x])/(1 + b^2)}
public void test02540() {
	check("Integrate[E^x*Sin[a + b*x], x]", "-((b*E^x*Cos[a + b*x])/(1 + b^2)) + (E^x*Sin[a + b*x])/(1 + b^2)");

}

// {E^x*Cos[a + b*x], x, 1, (E^x*Cos[a + b*x])/(1 + b^2) + (b*E^x*Sin[a + b*x])/(1 + b^2)}
public void test02541() {
	check("Integrate[E^x*Cos[a + b*x], x]", "(E^x*Cos[a + b*x])/(1 + b^2) + (b*E^x*Sin[a + b*x])/(1 + b^2)");

}

// {Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, Unintegrable[Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]}
public void test02542() {
	check("Integrate[Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "Unintegrable[Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]");

}

// {Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x, 1, Unintegrable[Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]}
public void test02543() {
	check("Integrate[Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x]", "Unintegrable[Csc[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]");

}

// {Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, Unintegrable[Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]}
public void test02544() {
	check("Integrate[Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "Unintegrable[Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]");

}

// {Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x, 1, Unintegrable[Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]}
public void test02545() {
	check("Integrate[Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x]", "Unintegrable[Sec[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]");

}

// {Sin[x]*Sin[2*x], x, 1, Sin[x]/2 - Sin[3*x]/6}
public void test02546() {
	check("Integrate[Sin[x]*Sin[2*x], x]", "Sin[x]/2 - Sin[3*x]/6");

}

// {Sin[x]*Sin[3*x], x, 1, Sin[2*x]/4 - Sin[4*x]/8}
public void test02547() {
	check("Integrate[Sin[x]*Sin[3*x], x]", "Sin[2*x]/4 - Sin[4*x]/8");

}

// {Sin[x]*Sin[4*x], x, 1, Sin[3*x]/6 - Sin[5*x]/10}
public void test02548() {
	check("Integrate[Sin[x]*Sin[4*x], x]", "Sin[3*x]/6 - Sin[5*x]/10");

}

// {Cos[2*x]*Sin[x], x, 1, Cos[x]/2 - Cos[3*x]/6}
public void test02549() {
	check("Integrate[Cos[2*x]*Sin[x], x]", "Cos[x]/2 - Cos[3*x]/6");

}

// {Cos[3*x]*Sin[x], x, 1, Cos[2*x]/4 - Cos[4*x]/8}
public void test02550() {
	check("Integrate[Cos[3*x]*Sin[x], x]", "Cos[2*x]/4 - Cos[4*x]/8");

}

// {Cos[4*x]*Sin[x], x, 1, Cos[3*x]/6 - Cos[5*x]/10}
public void test02551() {
	check("Integrate[Cos[4*x]*Sin[x], x]", "Cos[3*x]/6 - Cos[5*x]/10");

}

// {Cos[x]*Sin[2*x], x, 1, -Cos[x]/2 - Cos[3*x]/6}
public void test02552() {
	check("Integrate[Cos[x]*Sin[2*x], x]", "-Cos[x]/2 - Cos[3*x]/6");

}

// {Cos[x]*Sin[3*x], x, 1, -Cos[2*x]/4 - Cos[4*x]/8}
public void test02553() {
	check("Integrate[Cos[x]*Sin[3*x], x]", "-Cos[2*x]/4 - Cos[4*x]/8");

}

// {Cos[x]*Sin[4*x], x, 1, -Cos[3*x]/6 - Cos[5*x]/10}
public void test02554() {
	check("Integrate[Cos[x]*Sin[4*x], x]", "-Cos[3*x]/6 - Cos[5*x]/10");

}

// {Cos[x]*Cos[2*x], x, 1, Sin[x]/2 + Sin[3*x]/6}
public void test02555() {
	check("Integrate[Cos[x]*Cos[2*x], x]", "Sin[x]/2 + Sin[3*x]/6");

}

// {Cos[x]*Cos[3*x], x, 1, Sin[2*x]/4 + Sin[4*x]/8}
public void test02556() {
	check("Integrate[Cos[x]*Cos[3*x], x]", "Sin[2*x]/4 + Sin[4*x]/8");

}

// {Cos[x]*Cos[4*x], x, 1, Sin[3*x]/6 + Sin[5*x]/10}
public void test02557() {
	check("Integrate[Cos[x]*Cos[4*x], x]", "Sin[3*x]/6 + Sin[5*x]/10");

}

// {(a*Cos[c + d*x] + b*Sin[c + d*x])^(-2), x, 1, Sin[c + d*x]/(a*d*(a*Cos[c + d*x] + b*Sin[c + d*x]))}
public void test02558() {
	check("Integrate[(a*Cos[c + d*x] + b*Sin[c + d*x])^(-2), x]", "Sin[c + d*x]/(a*d*(a*Cos[c + d*x] + b*Sin[c + d*x]))");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n, x, 1, ((-I)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n)/(d*n)}
public void test02559() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n, x]", "((-I)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^n)/(d*n)");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^4, x, 1, ((-I/4)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^4)/d}
public void test02560() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^4, x]", "((-I/4)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^4)/d");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3, x, 1, ((-I/3)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3)/d}
public void test02561() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3, x]", "((-I/3)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3)/d");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2, x, 1, ((-I/2)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2)/d}
public void test02562() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2, x]", "((-I/2)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2)/d");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-1), x, 1, I/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x]))}
public void test02563() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-1), x]", "I/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x]))");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-2), x, 1, (I/2)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2)}
public void test02564() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-2), x]", "(I/2)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^2)");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-3), x, 1, (I/3)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3)}
public void test02565() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-3), x]", "(I/3)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^3)");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-4), x, 1, (I/4)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^4)}
public void test02566() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-4), x]", "(I/4)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^4)");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(5/2), x, 1, (((-2*I)/5)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(5/2))/d}
public void test02567() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(5/2), x]", "(((-2*I)/5)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(5/2))/d");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(3/2), x, 1, (((-2*I)/3)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(3/2))/d}
public void test02568() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(3/2), x]", "(((-2*I)/3)*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(3/2))/d");

}

// {Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]], x, 1, ((-2*I)*Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]])/d}
public void test02569() {
	check("Integrate[Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]], x]", "((-2*I)*Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]])/d");

}

// {1/Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]], x, 1, (2*I)/(d*Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]])}
public void test02570() {
	check("Integrate[1/Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]], x]", "(2*I)/(d*Sqrt[a*Cos[c + d*x] + I*a*Sin[c + d*x]])");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-3/2), x, 1, ((2*I)/3)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(3/2))}
public void test02571() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-3/2), x]", "((2*I)/3)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(3/2))");

}

// {(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-5/2), x, 1, ((2*I)/5)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(5/2))}
public void test02572() {
	check("Integrate[(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(-5/2), x]", "((2*I)/5)/(d*(a*Cos[c + d*x] + I*a*Sin[c + d*x])^(5/2))");

}

// {(Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x])^(-1), x, 1, -((c - Sqrt[b^2 + c^2]*Sin[d + e*x])/(c*e*(c*Cos[d + e*x] - b*Sin[d + e*x])))}
public void test02573() {
	check("Integrate[(Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x])^(-1), x]", "-((c - Sqrt[b^2 + c^2]*Sin[d + e*x])/(c*e*(c*Cos[d + e*x] - b*Sin[d + e*x])))");

}

// {Sqrt[5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]], x, 1, (-2*(3*Cos[d + e*x] - 4*Sin[d + e*x]))/(e*Sqrt[5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]])}
public void test02574() {
	check("Integrate[Sqrt[5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]], x]", "(-2*(3*Cos[d + e*x] - 4*Sin[d + e*x]))/(e*Sqrt[5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]])");

}

// {Sqrt[-5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]], x, 1, (-2*(3*Cos[d + e*x] - 4*Sin[d + e*x]))/(e*Sqrt[-5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]])}
public void test02575() {
	check("Integrate[Sqrt[-5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]], x]", "(-2*(3*Cos[d + e*x] - 4*Sin[d + e*x]))/(e*Sqrt[-5 + 4*Cos[d + e*x] + 3*Sin[d + e*x]])");

}

// {Sqrt[Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]], x, 1, (-2*(c*Cos[d + e*x] - b*Sin[d + e*x]))/(e*Sqrt[Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]])}
public void test02576() {
	check("Integrate[Sqrt[Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]], x]", "(-2*(c*Cos[d + e*x] - b*Sin[d + e*x]))/(e*Sqrt[Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]])");

}

// {Sqrt[-Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]], x, 1, (-2*(c*Cos[d + e*x] - b*Sin[d + e*x]))/(e*Sqrt[-Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]])}
public void test02577() {
	check("Integrate[Sqrt[-Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]], x]", "(-2*(c*Cos[d + e*x] - b*Sin[d + e*x]))/(e*Sqrt[-Sqrt[b^2 + c^2] + b*Cos[d + e*x] + c*Sin[d + e*x]])");

}

// {(Cos[x] - I*Sin[x])/(Cos[x] + I*Sin[x]), x, 1, (I/2)*(Cos[x] - I*Sin[x])^2}
public void test02578() {
	check("Integrate[(Cos[x] - I*Sin[x])/(Cos[x] + I*Sin[x]), x]", "(I/2)*(Cos[x] - I*Sin[x])^2");

}

// {(Cos[x] + I*Sin[x])/(Cos[x] - I*Sin[x]), x, 1, (-I/2)/(Cos[x] - I*Sin[x])^2}
public void test02579() {
	check("Integrate[(Cos[x] + I*Sin[x])/(Cos[x] - I*Sin[x]), x]", "(-I/2)/(Cos[x] - I*Sin[x])^2");

}

// {(Cos[x] - Sin[x])/(Cos[x] + Sin[x]), x, 1, Log[Cos[x] + Sin[x]]}
public void test02580() {
	check("Integrate[(Cos[x] - Sin[x])/(Cos[x] + Sin[x]), x]", "Log[Cos[x] + Sin[x]]");

}

// {(B*Cos[x] + C*Sin[x])/(b*Cos[x] + c*Sin[x]), x, 1, ((b*B + c*C)*x)/(b^2 + c^2) + ((B*c - b*C)*Log[b*Cos[x] + c*Sin[x]])/(b^2 + c^2)}
public void test02581() {
	check("Integrate[(B*Cos[x] + C*Sin[x])/(b*Cos[x] + c*Sin[x]), x]", "((b*B + c*C)*x)/(b^2 + c^2) + ((B*c - b*C)*Log[b*Cos[x] + c*Sin[x]])/(b^2 + c^2)");

}

// {(A + B*Cos[x])/(a + b*Cos[x] + I*b*Sin[x]), x, 1, ((2*a*A - b*B)*x)/(2*a^2) + ((I/2)*B*Cos[x])/a + ((I/2)*(2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cos[x] + I*b*Sin[x]])/(a^2*b) + (B*Sin[x])/(2*a)}
public void test02582() {
	check("Integrate[(A + B*Cos[x])/(a + b*Cos[x] + I*b*Sin[x]), x]", "((2*a*A - b*B)*x)/(2*a^2) + ((I/2)*B*Cos[x])/a + ((I/2)*(2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cos[x] + I*b*Sin[x]])/(a^2*b) + (B*Sin[x])/(2*a)");

}

// {(A + B*Cos[x])/(a + b*Cos[x] - I*b*Sin[x]), x, 1, ((2*a*A - b*B)*x)/(2*a^2) - ((I/2)*B*Cos[x])/a - ((I/2)*(2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cos[x] - I*b*Sin[x]])/(a^2*b) + (B*Sin[x])/(2*a)}
public void test02583() {
	check("Integrate[(A + B*Cos[x])/(a + b*Cos[x] - I*b*Sin[x]), x]", "((2*a*A - b*B)*x)/(2*a^2) - ((I/2)*B*Cos[x])/a - ((I/2)*(2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cos[x] - I*b*Sin[x]])/(a^2*b) + (B*Sin[x])/(2*a)");

}

// {(A + C*Sin[x])/(a + b*Cos[x] + I*b*Sin[x]), x, 1, ((2*a*A - I*b*C)*x)/(2*a^2) - (C*Cos[x])/(2*a) + (((2*I)*a*A*b - a^2*C + b^2*C)*Log[a + b*Cos[x] + I*b*Sin[x]])/(2*a^2*b) + ((I/2)*C*Sin[x])/a}
public void test02584() {
	check("Integrate[(A + C*Sin[x])/(a + b*Cos[x] + I*b*Sin[x]), x]", "((2*a*A - I*b*C)*x)/(2*a^2) - (C*Cos[x])/(2*a) + (((2*I)*a*A*b - a^2*C + b^2*C)*Log[a + b*Cos[x] + I*b*Sin[x]])/(2*a^2*b) + ((I/2)*C*Sin[x])/a");

}

// {(A + C*Sin[x])/(a + b*Cos[x] - I*b*Sin[x]), x, 1, ((2*a*A + I*b*C)*x)/(2*a^2) - (C*Cos[x])/(2*a) - (((2*I)*a*A*b + a^2*C - b^2*C)*Log[a + b*Cos[x] - I*b*Sin[x]])/(2*a^2*b) - ((I/2)*C*Sin[x])/a}
public void test02585() {
	check("Integrate[(A + C*Sin[x])/(a + b*Cos[x] - I*b*Sin[x]), x]", "((2*a*A + I*b*C)*x)/(2*a^2) - (C*Cos[x])/(2*a) - (((2*I)*a*A*b + a^2*C - b^2*C)*Log[a + b*Cos[x] - I*b*Sin[x]])/(2*a^2*b) - ((I/2)*C*Sin[x])/a");

}

// {(B*Cos[x] + C*Sin[x])/(a + b*Cos[x] + I*b*Sin[x]), x, 1, -(b*(B + I*C)*x)/(2*a^2) - ((I*b^2*(B + I*C) + a^2*(I*B + C))*Log[a + b*Cos[x] + I*b*Sin[x]])/(2*a^2*b) + ((I*B - C)*(Cos[x] - I*Sin[x]))/(2*a)}
public void test02586() {
	check("Integrate[(B*Cos[x] + C*Sin[x])/(a + b*Cos[x] + I*b*Sin[x]), x]", "-(b*(B + I*C)*x)/(2*a^2) - ((I*b^2*(B + I*C) + a^2*(I*B + C))*Log[a + b*Cos[x] + I*b*Sin[x]])/(2*a^2*b) + ((I*B - C)*(Cos[x] - I*Sin[x]))/(2*a)");

}

// {(B*Cos[x] + C*Sin[x])/(a + b*Cos[x] - I*b*Sin[x]), x, 1, -(b*(B - I*C)*x)/(2*a^2) + ((I*a^2*(B + I*C) + b^2*(I*B + C))*Log[a + b*Cos[x] - I*b*Sin[x]])/(2*a^2*b) - ((I*B + C)*(Cos[x] + I*Sin[x]))/(2*a)}
public void test02587() {
	check("Integrate[(B*Cos[x] + C*Sin[x])/(a + b*Cos[x] - I*b*Sin[x]), x]", "-(b*(B - I*C)*x)/(2*a^2) + ((I*a^2*(B + I*C) + b^2*(I*B + C))*Log[a + b*Cos[x] - I*b*Sin[x]])/(2*a^2*b) - ((I*B + C)*(Cos[x] + I*Sin[x]))/(2*a)");

}

// {(A + B*Cos[x] + C*Sin[x])/(a + b*Cos[x] + I*b*Sin[x]), x, 1, ((2*a*A - b*(B + I*C))*x)/(2*a^2) + ((I/2)*(2*a*A*b - a^2*(B - I*C) - b^2*(B + I*C))*Log[a + b*Cos[x] + I*b*Sin[x]])/(a^2*b) + ((I*B - C)*(Cos[x] - I*Sin[x]))/(2*a)}
public void test02588() {
	check("Integrate[(A + B*Cos[x] + C*Sin[x])/(a + b*Cos[x] + I*b*Sin[x]), x]", "((2*a*A - b*(B + I*C))*x)/(2*a^2) + ((I/2)*(2*a*A*b - a^2*(B - I*C) - b^2*(B + I*C))*Log[a + b*Cos[x] + I*b*Sin[x]])/(a^2*b) + ((I*B - C)*(Cos[x] - I*Sin[x]))/(2*a)");

}

// {(A + B*Cos[x] + C*Sin[x])/(a + b*Cos[x] - I*b*Sin[x]), x, 1, ((2*a*A - b*B + I*b*C)*x)/(2*a^2) - ((I/2)*(2*a*A*b - b^2*(B - I*C) - a^2*(B + I*C))*Log[a + b*Cos[x] - I*b*Sin[x]])/(a^2*b) - ((I*B + C)*(Cos[x] + I*Sin[x]))/(2*a)}
public void test02589() {
	check("Integrate[(A + B*Cos[x] + C*Sin[x])/(a + b*Cos[x] - I*b*Sin[x]), x]", "((2*a*A - b*B + I*b*C)*x)/(2*a^2) - ((I/2)*(2*a*A*b - b^2*(B - I*C) - a^2*(B + I*C))*Log[a + b*Cos[x] - I*b*Sin[x]])/(a^2*b) - ((I*B + C)*(Cos[x] + I*Sin[x]))/(2*a)");

}

// {1/(x*(a + b*Cos[x]*Sin[x])), x, 1, Unintegrable[1/(x*(a + (b*Sin[2*x])/2)), x]}
public void test02590() {
	check("Integrate[1/(x*(a + b*Cos[x]*Sin[x])), x]", "Unintegrable[1/(x*(a + (b*Sin[2*x])/2)), x]");

}

// {((b*x)^(2 - n)*Sin[a*x]^n)/(a*c*x*Cos[a*x] - c*Sin[a*x])^2, x, 1, (b*(b*x)^(1 - n)*Sin[a*x]^(-1 + n))/(a^2*(a*c^2*x*Cos[a*x] - c^2*Sin[a*x])) + (b^2*(1 - n)*Unintegrable[Sin[a*x]^(-2 + n)/(b*x)^n, x])/(a^2*c^2)}
public void test02591() {
	check("Integrate[((b*x)^(2 - n)*Sin[a*x]^n)/(a*c*x*Cos[a*x] - c*Sin[a*x])^2, x]", "(b*(b*x)^(1 - n)*Sin[a*x]^(-1 + n))/(a^2*(a*c^2*x*Cos[a*x] - c^2*Sin[a*x])) + (b^2*(1 - n)*Unintegrable[Sin[a*x]^(-2 + n)/(b*x)^n, x])/(a^2*c^2)");

}

// {((b*x)^(2 - n)*Cos[a*x]^n)/(c*Cos[a*x] + a*c*x*Sin[a*x])^2, x, 1, -((b*(b*x)^(1 - n)*Cos[a*x]^(-1 + n))/(a^2*(c^2*Cos[a*x] + a*c^2*x*Sin[a*x]))) + (b^2*(1 - n)*Unintegrable[Cos[a*x]^(-2 + n)/(b*x)^n, x])/(a^2*c^2)}
public void test02592() {
	check("Integrate[((b*x)^(2 - n)*Cos[a*x]^n)/(c*Cos[a*x] + a*c*x*Sin[a*x])^2, x]", "-((b*(b*x)^(1 - n)*Cos[a*x]^(-1 + n))/(a^2*(c^2*Cos[a*x] + a*c^2*x*Sin[a*x]))) + (b^2*(1 - n)*Unintegrable[Cos[a*x]^(-2 + n)/(b*x)^n, x])/(a^2*c^2)");

}

// {Sin[a*x]^2/(a*x*Cos[a*x] - Sin[a*x])^2, x, 1, 1/(a^2*x) + Sin[a*x]/(a^2*x*(a*x*Cos[a*x] - Sin[a*x]))}
public void test02593() {
	check("Integrate[Sin[a*x]^2/(a*x*Cos[a*x] - Sin[a*x])^2, x]", "1/(a^2*x) + Sin[a*x]/(a^2*x*(a*x*Cos[a*x] - Sin[a*x]))");

}

// {(x*Sin[a*x])/(a*x*Cos[a*x] - Sin[a*x])^2, x, 1, 1/(a^2*(a*x*Cos[a*x] - Sin[a*x]))}
public void test02594() {
	check("Integrate[(x*Sin[a*x])/(a*x*Cos[a*x] - Sin[a*x])^2, x]", "1/(a^2*(a*x*Cos[a*x] - Sin[a*x]))");

}

// {Cos[a*x]^2/(Cos[a*x] + a*x*Sin[a*x])^2, x, 1, 1/(a^2*x) - Cos[a*x]/(a^2*x*(Cos[a*x] + a*x*Sin[a*x]))}
public void test02595() {
	check("Integrate[Cos[a*x]^2/(Cos[a*x] + a*x*Sin[a*x])^2, x]", "1/(a^2*x) - Cos[a*x]/(a^2*x*(Cos[a*x] + a*x*Sin[a*x]))");

}

// {(x*Cos[a*x])/(Cos[a*x] + a*x*Sin[a*x])^2, x, 1, -(1/(a^2*(Cos[a*x] + a*x*Sin[a*x])))}
public void test02596() {
	check("Integrate[(x*Cos[a*x])/(Cos[a*x] + a*x*Sin[a*x])^2, x]", "-(1/(a^2*(Cos[a*x] + a*x*Sin[a*x])))");

}

// {(b*Sec[c + d*x] + a*Sin[c + d*x])^n*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x, 1, (b*Sec[c + d*x] + a*Sin[c + d*x])^(1 + n)/(d*(1 + n))}
public void test02597() {
	check("Integrate[(b*Sec[c + d*x] + a*Sin[c + d*x])^n*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x]", "(b*Sec[c + d*x] + a*Sin[c + d*x])^(1 + n)/(d*(1 + n))");

}

// {(b*Sec[c + d*x] + a*Sin[c + d*x])^3*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x, 1, (b*Sec[c + d*x] + a*Sin[c + d*x])^4/(4*d)}
public void test02598() {
	check("Integrate[(b*Sec[c + d*x] + a*Sin[c + d*x])^3*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x]", "(b*Sec[c + d*x] + a*Sin[c + d*x])^4/(4*d)");

}

// {(b*Sec[c + d*x] + a*Sin[c + d*x])^2*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x, 1, (b*Sec[c + d*x] + a*Sin[c + d*x])^3/(3*d)}
public void test02599() {
	check("Integrate[(b*Sec[c + d*x] + a*Sin[c + d*x])^2*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x]", "(b*Sec[c + d*x] + a*Sin[c + d*x])^3/(3*d)");

}

// {(b*Sec[c + d*x] + a*Sin[c + d*x])*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x, 1, (b*Sec[c + d*x] + a*Sin[c + d*x])^2/(2*d)}
public void test02600() {
	check("Integrate[(b*Sec[c + d*x] + a*Sin[c + d*x])*(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x]), x]", "(b*Sec[c + d*x] + a*Sin[c + d*x])^2/(2*d)");

}

// {(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x])/(b*Sec[c + d*x] + a*Sin[c + d*x]), x, 1, Log[b*Sec[c + d*x] + a*Sin[c + d*x]]/d}
public void test02601() {
	check("Integrate[(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x])/(b*Sec[c + d*x] + a*Sin[c + d*x]), x]", "Log[b*Sec[c + d*x] + a*Sin[c + d*x]]/d");

}

// {(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x])/(b*Sec[c + d*x] + a*Sin[c + d*x])^2, x, 1, -(1/(d*(b*Sec[c + d*x] + a*Sin[c + d*x])))}
public void test02602() {
	check("Integrate[(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x])/(b*Sec[c + d*x] + a*Sin[c + d*x])^2, x]", "-(1/(d*(b*Sec[c + d*x] + a*Sin[c + d*x])))");

}

// {(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x])/(b*Sec[c + d*x] + a*Sin[c + d*x])^3, x, 1, -1/(2*d*(b*Sec[c + d*x] + a*Sin[c + d*x])^2)}
public void test02603() {
	check("Integrate[(a*Cos[c + d*x] + b*Sec[c + d*x]*Tan[c + d*x])/(b*Sec[c + d*x] + a*Sin[c + d*x])^3, x]", "-1/(2*d*(b*Sec[c + d*x] + a*Sin[c + d*x])^2)");

}

// {f[c, d, Cos[a + b*x], r, s]*Sin[a + b*x], x, 1, CannotIntegrate[f[c, d, Cos[a + b*x], r, s]*Sin[a + b*x], x]}
public void test02604() {
	check("Integrate[f[c, d, Cos[a + b*x], r, s]*Sin[a + b*x], x]", "CannotIntegrate[f[c, d, Cos[a + b*x], r, s]*Sin[a + b*x], x]");

}

// {Cos[a + b*x]*f[c, d, Sin[a + b*x], r, s], x, 1, CannotIntegrate[Cos[a + b*x]*f[c, d, Sin[a + b*x], r, s], x]}
public void test02605() {
	check("Integrate[Cos[a + b*x]*f[c, d, Sin[a + b*x], r, s], x]", "CannotIntegrate[Cos[a + b*x]*f[c, d, Sin[a + b*x], r, s], x]");

}

// {f[c, d, Tan[a + b*x], r, s]*Sec[a + b*x]^2, x, 1, CannotIntegrate[f[c, d, Tan[a + b*x], r, s]*Sec[a + b*x]^2, x]}
public void test02606() {
	check("Integrate[f[c, d, Tan[a + b*x], r, s]*Sec[a + b*x]^2, x]", "CannotIntegrate[f[c, d, Tan[a + b*x], r, s]*Sec[a + b*x]^2, x]");

}

// {Csc[a + b*x]^2*f[c, d, Cot[a + b*x], r, s], x, 1, CannotIntegrate[Csc[a + b*x]^2*f[c, d, Cot[a + b*x], r, s], x]}
public void test02607() {
	check("Integrate[Csc[a + b*x]^2*f[c, d, Cot[a + b*x], r, s], x]", "CannotIntegrate[Csc[a + b*x]^2*f[c, d, Cot[a + b*x], r, s], x]");

}

// {Csc[x]*Log[Tan[x]]*Sec[x], x, 1, Log[Tan[x]]^2/2}
public void test02608() {
	check("Integrate[Csc[x]*Log[Tan[x]]*Sec[x], x]", "Log[Tan[x]]^2/2");

}

// {Csc[2*x]*Log[Tan[x]], x, 1, Log[Tan[x]]^2/4}
public void test02609() {
	check("Integrate[Csc[2*x]*Log[Tan[x]], x]", "Log[Tan[x]]^2/4");

}

// {Cos[2*Pi*x]/E^(2*Pi*x), x, 1, -Cos[2*Pi*x]/(4*E^(2*Pi*x)*Pi) + Sin[2*Pi*x]/(4*E^(2*Pi*x)*Pi)}
public void test02610() {
	check("Integrate[Cos[2*Pi*x]/E^(2*Pi*x), x]", "-Cos[2*Pi*x]/(4*E^(2*Pi*x)*Pi) + Sin[2*Pi*x]/(4*E^(2*Pi*x)*Pi)");

}

// {Sin[Pi*(1 + 2*x)], x, 1, Cos[2*Pi*x]/(2*Pi)}
public void test02611() {
	check("Integrate[Sin[Pi*(1 + 2*x)], x]", "Cos[2*Pi*x]/(2*Pi)");

}

// {Cos[x]/E^(3*x), x, 1, (-3*Cos[x])/(10*E^(3*x)) + Sin[x]/(10*E^(3*x))}
public void test02612() {
	check("Integrate[Cos[x]/E^(3*x), x]", "(-3*Cos[x])/(10*E^(3*x)) + Sin[x]/(10*E^(3*x))");

}

// {(1 + Cos[x])*(x + Sin[x])^3, x, 1, (x + Sin[x])^4/4}
public void test02613() {
	check("Integrate[(1 + Cos[x])*(x + Sin[x])^3, x]", "(x + Sin[x])^4/4");

}

// {Cos[4*x]/E^(3*x), x, 1, (-3*Cos[4*x])/(25*E^(3*x)) + (4*Sin[4*x])/(25*E^(3*x))}
public void test02614() {
	check("Integrate[Cos[4*x]/E^(3*x), x]", "(-3*Cos[4*x])/(25*E^(3*x)) + (4*Sin[4*x])/(25*E^(3*x))");

}

// {(Cos[x^(-1)]*Sin[x^(-1)])/x^2, x, 1, -Sin[x^(-1)]^2/2}
public void test02615() {
	check("Integrate[(Cos[x^(-1)]*Sin[x^(-1)])/x^2, x]", "-Sin[x^(-1)]^2/2");

}

// {(Cos[Sqrt[x]]*Sin[Sqrt[x]])/Sqrt[x], x, 1, Sin[Sqrt[x]]^2}
public void test02616() {
	check("Integrate[(Cos[Sqrt[x]]*Sin[Sqrt[x]])/Sqrt[x], x]", "Sin[Sqrt[x]]^2");

}

// {(x*Cos[x^2])/Sqrt[Sin[x^2]], x, 1, Sqrt[Sin[x^2]]}
public void test02617() {
	check("Integrate[(x*Cos[x^2])/Sqrt[Sin[x^2]], x]", "Sqrt[Sin[x^2]]");

}

// {(-Cos[x] + Sin[x])*(Cos[x] + Sin[x])^5, x, 1, -(Cos[x] + Sin[x])^6/6}
public void test02618() {
	check("Integrate[(-Cos[x] + Sin[x])*(Cos[x] + Sin[x])^5, x]", "-(Cos[x] + Sin[x])^6/6");

}

// {Cos[a + b*x]^n*Sin[a + b*x]^(-2 - n), x, 1, -((Cos[a + b*x]^(1 + n)*Sin[a + b*x]^(-1 - n))/(b*(1 + n)))}
public void test02619() {
	check("Integrate[Cos[a + b*x]^n*Sin[a + b*x]^(-2 - n), x]", "-((Cos[a + b*x]^(1 + n)*Sin[a + b*x]^(-1 - n))/(b*(1 + n)))");

}

// {Sin[x^5]/x, x, 1, SinIntegral[x^5]/5}
public void test02620() {
	check("Integrate[Sin[x^5]/x, x]", "SinIntegral[x^5]/5");

}

// {x*Cos[2*x^2]*Sin[2*x^2]^(3/4), x, 1, Sin[2*x^2]^(7/4)/7}
public void test02621() {
	check("Integrate[x*Cos[2*x^2]*Sin[2*x^2]^(3/4), x]", "Sin[2*x^2]^(7/4)/7");

}

// {x*Sec[x^2]^2*Tan[x^2]^2, x, 1, Tan[x^2]^3/6}
public void test02622() {
	check("Integrate[x*Sec[x^2]^2*Tan[x^2]^2, x]", "Tan[x^2]^3/6");

}

// {x^2*Cos[a + b*x^3]^7*Sin[a + b*x^3], x, 1, -Cos[a + b*x^3]^8/(24*b)}
public void test02623() {
	check("Integrate[x^2*Cos[a + b*x^3]^7*Sin[a + b*x^3], x]", "-Cos[a + b*x^3]^8/(24*b)");

}

// {(Cos[a + b*x] - Sin[a + b*x])/(Cos[a + b*x] + Sin[a + b*x]), x, 1, Log[Cos[a + b*x] + Sin[a + b*x]]/b}
public void test02624() {
	check("Integrate[(Cos[a + b*x] - Sin[a + b*x])/(Cos[a + b*x] + Sin[a + b*x]), x]", "Log[Cos[a + b*x] + Sin[a + b*x]]/b");

}

// {(b*x)^m*ArcSin[a*x]^4, x, 1, ((b*x)^(1 + m)*ArcSin[a*x]^4)/(b*(1 + m)) - (4*a*Unintegrable[((b*x)^(1 + m)*ArcSin[a*x]^3)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))}
public void test02625() {
	check("Integrate[(b*x)^m*ArcSin[a*x]^4, x]", "((b*x)^(1 + m)*ArcSin[a*x]^4)/(b*(1 + m)) - (4*a*Unintegrable[((b*x)^(1 + m)*ArcSin[a*x]^3)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))");

}

// {(b*x)^m*ArcSin[a*x]^3, x, 1, ((b*x)^(1 + m)*ArcSin[a*x]^3)/(b*(1 + m)) - (3*a*Unintegrable[((b*x)^(1 + m)*ArcSin[a*x]^2)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))}
public void test02626() {
	check("Integrate[(b*x)^m*ArcSin[a*x]^3, x]", "((b*x)^(1 + m)*ArcSin[a*x]^3)/(b*(1 + m)) - (3*a*Unintegrable[((b*x)^(1 + m)*ArcSin[a*x]^2)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))");

}

// {(d*x)^(3/2)*(a + b*ArcSin[c*x])^3, x, 1, (2*(d*x)^(5/2)*(a + b*ArcSin[c*x])^3)/(5*d) - (6*b*c*Unintegrable[((d*x)^(5/2)*(a + b*ArcSin[c*x])^2)/Sqrt[1 - c^2*x^2], x])/(5*d)}
public void test02627() {
	check("Integrate[(d*x)^(3/2)*(a + b*ArcSin[c*x])^3, x]", "(2*(d*x)^(5/2)*(a + b*ArcSin[c*x])^3)/(5*d) - (6*b*c*Unintegrable[((d*x)^(5/2)*(a + b*ArcSin[c*x])^2)/Sqrt[1 - c^2*x^2], x])/(5*d)");

}

// {Sqrt[d*x]*(a + b*ArcSin[c*x])^3, x, 1, (2*(d*x)^(3/2)*(a + b*ArcSin[c*x])^3)/(3*d) - (2*b*c*Unintegrable[((d*x)^(3/2)*(a + b*ArcSin[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d}
public void test02628() {
	check("Integrate[Sqrt[d*x]*(a + b*ArcSin[c*x])^3, x]", "(2*(d*x)^(3/2)*(a + b*ArcSin[c*x])^3)/(3*d) - (2*b*c*Unintegrable[((d*x)^(3/2)*(a + b*ArcSin[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d");

}

// {(a + b*ArcSin[c*x])^3/Sqrt[d*x], x, 1, (2*Sqrt[d*x]*(a + b*ArcSin[c*x])^3)/d - (6*b*c*Unintegrable[(Sqrt[d*x]*(a + b*ArcSin[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d}
public void test02629() {
	check("Integrate[(a + b*ArcSin[c*x])^3/Sqrt[d*x], x]", "(2*Sqrt[d*x]*(a + b*ArcSin[c*x])^3)/d - (6*b*c*Unintegrable[(Sqrt[d*x]*(a + b*ArcSin[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d");

}

// {(a + b*ArcSin[c*x])^3/(d*x)^(3/2), x, 1, (-2*(a + b*ArcSin[c*x])^3)/(d*Sqrt[d*x]) + (6*b*c*Unintegrable[(a + b*ArcSin[c*x])^2/(Sqrt[d*x]*Sqrt[1 - c^2*x^2]), x])/d}
public void test02630() {
	check("Integrate[(a + b*ArcSin[c*x])^3/(d*x)^(3/2), x]", "(-2*(a + b*ArcSin[c*x])^3)/(d*Sqrt[d*x]) + (6*b*c*Unintegrable[(a + b*ArcSin[c*x])^2/(Sqrt[d*x]*Sqrt[1 - c^2*x^2]), x])/d");

}

// {(a + b*ArcSin[c*x])^3/(d*x)^(5/2), x, 1, (-2*(a + b*ArcSin[c*x])^3)/(3*d*(d*x)^(3/2)) + (2*b*c*Unintegrable[(a + b*ArcSin[c*x])^2/((d*x)^(3/2)*Sqrt[1 - c^2*x^2]), x])/d}
public void test02631() {
	check("Integrate[(a + b*ArcSin[c*x])^3/(d*x)^(5/2), x]", "(-2*(a + b*ArcSin[c*x])^3)/(3*d*(d*x)^(3/2)) + (2*b*c*Unintegrable[(a + b*ArcSin[c*x])^2/((d*x)^(3/2)*Sqrt[1 - c^2*x^2]), x])/d");

}

// {ArcSin[a*x]/Sqrt[1 - a^2*x^2], x, 1, ArcSin[a*x]^2/(2*a)}
public void test02632() {
	check("Integrate[ArcSin[a*x]/Sqrt[1 - a^2*x^2], x]", "ArcSin[a*x]^2/(2*a)");

}

// {((f*x)^(3/2)*(a + b*ArcSin[c*x]))/Sqrt[1 - c^2*x^2], x, 1, (2*(f*x)^(5/2)*(a + b*ArcSin[c*x])*Hypergeometric2F1[1/2, 5/4, 9/4, c^2*x^2])/(5*f) - (4*b*c*(f*x)^(7/2)*HypergeometricPFQ[{1, 7/4, 7/4}, {9/4, 11/4}, c^2*x^2])/(35*f^2)}
public void test02633() {
	check("Integrate[((f*x)^(3/2)*(a + b*ArcSin[c*x]))/Sqrt[1 - c^2*x^2], x]", "(2*(f*x)^(5/2)*(a + b*ArcSin[c*x])*Hypergeometric2F1[1/2, 5/4, 9/4, c^2*x^2])/(5*f) - (4*b*c*(f*x)^(7/2)*HypergeometricPFQ[{1, 7/4, 7/4}, {9/4, 11/4}, c^2*x^2])/(35*f^2)");

}

// {(x^m*ArcSin[a*x])/Sqrt[1 - a^2*x^2], x, 1, (x^(1 + m)*ArcSin[a*x]*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, a^2*x^2])/(1 + m) - (a*x^(2 + m)*HypergeometricPFQ[{1, 1 + m/2, 1 + m/2}, {3/2 + m/2, 2 + m/2}, a^2*x^2])/(2 + 3*m + m^2)}
public void test02634() {
	check("Integrate[(x^m*ArcSin[a*x])/Sqrt[1 - a^2*x^2], x]", "(x^(1 + m)*ArcSin[a*x]*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, a^2*x^2])/(1 + m) - (a*x^(2 + m)*HypergeometricPFQ[{1, 1 + m/2, 1 + m/2}, {3/2 + m/2, 2 + m/2}, a^2*x^2])/(2 + 3*m + m^2)");

}

// {ArcSin[a*x]^2/Sqrt[1 - a^2*x^2], x, 1, ArcSin[a*x]^3/(3*a)}
public void test02635() {
	check("Integrate[ArcSin[a*x]^2/Sqrt[1 - a^2*x^2], x]", "ArcSin[a*x]^3/(3*a)");

}

// {ArcSin[a*x]^3/Sqrt[1 - a^2*x^2], x, 1, ArcSin[a*x]^4/(4*a)}
public void test02636() {
	check("Integrate[ArcSin[a*x]^3/Sqrt[1 - a^2*x^2], x]", "ArcSin[a*x]^4/(4*a)");

}

// {1/(Sqrt[1 - a^2*x^2]*ArcSin[a*x]), x, 1, Log[ArcSin[a*x]]/a}
public void test02637() {
	check("Integrate[1/(Sqrt[1 - a^2*x^2]*ArcSin[a*x]), x]", "Log[ArcSin[a*x]]/a");

}

// {1/(Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])), x, 1, Log[a + b*ArcSin[c*x]]/(b*c)}
public void test02638() {
	check("Integrate[1/(Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])), x]", "Log[a + b*ArcSin[c*x]]/(b*c)");

}

// {1/((c - a^2*c*x^2)*ArcSin[a*x]^2), x, 1, -(1/(a*c*Sqrt[1 - a^2*x^2]*ArcSin[a*x])) + (a*Unintegrable[x/((1 - a^2*x^2)^(3/2)*ArcSin[a*x]), x])/c}
public void test02639() {
	check("Integrate[1/((c - a^2*c*x^2)*ArcSin[a*x]^2), x]", "-(1/(a*c*Sqrt[1 - a^2*x^2]*ArcSin[a*x])) + (a*Unintegrable[x/((1 - a^2*x^2)^(3/2)*ArcSin[a*x]), x])/c");

}

// {1/((c - a^2*c*x^2)^2*ArcSin[a*x]^2), x, 1, -(1/(a*c^2*(1 - a^2*x^2)^(3/2)*ArcSin[a*x])) + (3*a*Unintegrable[x/((1 - a^2*x^2)^(5/2)*ArcSin[a*x]), x])/c^2}
public void test02640() {
	check("Integrate[1/((c - a^2*c*x^2)^2*ArcSin[a*x]^2), x]", "-(1/(a*c^2*(1 - a^2*x^2)^(3/2)*ArcSin[a*x])) + (3*a*Unintegrable[x/((1 - a^2*x^2)^(5/2)*ArcSin[a*x]), x])/c^2");

}

// {Sqrt[1 - c^2*x^2]/(x^2*(a + b*ArcSin[c*x])^2), x, 1, -((1 - c^2*x^2)/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSin[c*x])), x])/(b*c)}
public void test02641() {
	check("Integrate[Sqrt[1 - c^2*x^2]/(x^2*(a + b*ArcSin[c*x])^2), x]", "-((1 - c^2*x^2)/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSin[c*x])), x])/(b*c)");

}

// {(1 - c^2*x^2)^(3/2)/(x^2*(a + b*ArcSin[c*x])^2), x, 1, -((1 - c^2*x^2)^2/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[(1 - c^2*x^2)/(x^3*(a + b*ArcSin[c*x])), x])/(b*c) - (2*c*Unintegrable[(1 - c^2*x^2)/(x*(a + b*ArcSin[c*x])), x])/b}
public void test02642() {
	check("Integrate[(1 - c^2*x^2)^(3/2)/(x^2*(a + b*ArcSin[c*x])^2), x]", "-((1 - c^2*x^2)^2/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[(1 - c^2*x^2)/(x^3*(a + b*ArcSin[c*x])), x])/(b*c) - (2*c*Unintegrable[(1 - c^2*x^2)/(x*(a + b*ArcSin[c*x])), x])/b");

}

// {(1 - c^2*x^2)^(3/2)/(x^4*(a + b*ArcSin[c*x])^2), x, 1, -((1 - c^2*x^2)^2/(b*c*x^4*(a + b*ArcSin[c*x]))) - (4*Unintegrable[(1 - c^2*x^2)/(x^5*(a + b*ArcSin[c*x])), x])/(b*c)}
public void test02643() {
	check("Integrate[(1 - c^2*x^2)^(3/2)/(x^4*(a + b*ArcSin[c*x])^2), x]", "-((1 - c^2*x^2)^2/(b*c*x^4*(a + b*ArcSin[c*x]))) - (4*Unintegrable[(1 - c^2*x^2)/(x^5*(a + b*ArcSin[c*x])), x])/(b*c)");

}

// {(1 - c^2*x^2)^(5/2)/(x^2*(a + b*ArcSin[c*x])^2), x, 1, -((1 - c^2*x^2)^3/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[(1 - c^2*x^2)^2/(x^3*(a + b*ArcSin[c*x])), x])/(b*c) - (4*c*Unintegrable[(1 - c^2*x^2)^2/(x*(a + b*ArcSin[c*x])), x])/b}
public void test02644() {
	check("Integrate[(1 - c^2*x^2)^(5/2)/(x^2*(a + b*ArcSin[c*x])^2), x]", "-((1 - c^2*x^2)^3/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[(1 - c^2*x^2)^2/(x^3*(a + b*ArcSin[c*x])), x])/(b*c) - (4*c*Unintegrable[(1 - c^2*x^2)^2/(x*(a + b*ArcSin[c*x])), x])/b");

}

// {x^m/(Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x, 1, -(x^m/(b*c*(a + b*ArcSin[c*x]))) + (m*Unintegrable[x^(-1 + m)/(a + b*ArcSin[c*x]), x])/(b*c)}
public void test02645() {
	check("Integrate[x^m/(Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x]", "-(x^m/(b*c*(a + b*ArcSin[c*x]))) + (m*Unintegrable[x^(-1 + m)/(a + b*ArcSin[c*x]), x])/(b*c)");

}

// {1/(Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x, 1, -(1/(b*c*(a + b*ArcSin[c*x])))}
public void test02646() {
	check("Integrate[1/(Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x]", "-(1/(b*c*(a + b*ArcSin[c*x])))");

}

// {1/(x*Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x, 1, -(1/(b*c*x*(a + b*ArcSin[c*x]))) - Unintegrable[1/(x^2*(a + b*ArcSin[c*x])), x]/(b*c)}
public void test02647() {
	check("Integrate[1/(x*Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x]", "-(1/(b*c*x*(a + b*ArcSin[c*x]))) - Unintegrable[1/(x^2*(a + b*ArcSin[c*x])), x]/(b*c)");

}

// {1/(x^2*Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x, 1, -(1/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSin[c*x])), x])/(b*c)}
public void test02648() {
	check("Integrate[1/(x^2*Sqrt[1 - c^2*x^2]*(a + b*ArcSin[c*x])^2), x]", "-(1/(b*c*x^2*(a + b*ArcSin[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSin[c*x])), x])/(b*c)");

}

// {x^2/((1 - c^2*x^2)^(3/2)*(a + b*ArcSin[c*x])^2), x, 1, -(x^2/(b*c*(1 - c^2*x^2)*(a + b*ArcSin[c*x]))) + (2*Unintegrable[x/((1 - c^2*x^2)^2*(a + b*ArcSin[c*x])), x])/(b*c)}
public void test02649() {
	check("Integrate[x^2/((1 - c^2*x^2)^(3/2)*(a + b*ArcSin[c*x])^2), x]", "-(x^2/(b*c*(1 - c^2*x^2)*(a + b*ArcSin[c*x]))) + (2*Unintegrable[x/((1 - c^2*x^2)^2*(a + b*ArcSin[c*x])), x])/(b*c)");

}

// {1/((1 - c^2*x^2)^(3/2)*(a + b*ArcSin[c*x])^2), x, 1, -(1/(b*c*(1 - c^2*x^2)*(a + b*ArcSin[c*x]))) + (2*c*Unintegrable[x/((1 - c^2*x^2)^2*(a + b*ArcSin[c*x])), x])/b}
public void test02650() {
	check("Integrate[1/((1 - c^2*x^2)^(3/2)*(a + b*ArcSin[c*x])^2), x]", "-(1/(b*c*(1 - c^2*x^2)*(a + b*ArcSin[c*x]))) + (2*c*Unintegrable[x/((1 - c^2*x^2)^2*(a + b*ArcSin[c*x])), x])/b");

}

// {1/((1 - c^2*x^2)^(5/2)*(a + b*ArcSin[c*x])^2), x, 1, -(1/(b*c*(1 - c^2*x^2)^2*(a + b*ArcSin[c*x]))) + (4*c*Unintegrable[x/((1 - c^2*x^2)^3*(a + b*ArcSin[c*x])), x])/b}
public void test02651() {
	check("Integrate[1/((1 - c^2*x^2)^(5/2)*(a + b*ArcSin[c*x])^2), x]", "-(1/(b*c*(1 - c^2*x^2)^2*(a + b*ArcSin[c*x]))) + (4*c*Unintegrable[x/((1 - c^2*x^2)^3*(a + b*ArcSin[c*x])), x])/b");

}

// {1/(Sqrt[1 - a^2*x^2]*ArcSin[a*x]^3), x, 1, -1/(2*a*ArcSin[a*x]^2)}
public void test02652() {
	check("Integrate[1/(Sqrt[1 - a^2*x^2]*ArcSin[a*x]^3), x]", "-1/(2*a*ArcSin[a*x]^2)");

}

// {Sqrt[ArcSin[a*x]]/(c - a^2*c*x^2)^(3/2), x, 1, (x*Sqrt[ArcSin[a*x]])/(c*Sqrt[c - a^2*c*x^2]) - (a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)*Sqrt[ArcSin[a*x]]), x])/(2*c*Sqrt[c - a^2*c*x^2])}
public void test02653() {
	check("Integrate[Sqrt[ArcSin[a*x]]/(c - a^2*c*x^2)^(3/2), x]", "(x*Sqrt[ArcSin[a*x]])/(c*Sqrt[c - a^2*c*x^2]) - (a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)*Sqrt[ArcSin[a*x]]), x])/(2*c*Sqrt[c - a^2*c*x^2])");

}

// {ArcSin[a*x]^(3/2)/(c - a^2*c*x^2)^(3/2), x, 1, (x*ArcSin[a*x]^(3/2))/(c*Sqrt[c - a^2*c*x^2]) - (3*a*Sqrt[1 - a^2*x^2]*Unintegrable[(x*Sqrt[ArcSin[a*x]])/(1 - a^2*x^2), x])/(2*c*Sqrt[c - a^2*c*x^2])}
public void test02654() {
	check("Integrate[ArcSin[a*x]^(3/2)/(c - a^2*c*x^2)^(3/2), x]", "(x*ArcSin[a*x]^(3/2))/(c*Sqrt[c - a^2*c*x^2]) - (3*a*Sqrt[1 - a^2*x^2]*Unintegrable[(x*Sqrt[ArcSin[a*x]])/(1 - a^2*x^2), x])/(2*c*Sqrt[c - a^2*c*x^2])");

}

// {ArcSin[a*x]^(5/2)/(c - a^2*c*x^2)^(3/2), x, 1, (x*ArcSin[a*x]^(5/2))/(c*Sqrt[c - a^2*c*x^2]) - (5*a*Sqrt[1 - a^2*x^2]*Unintegrable[(x*ArcSin[a*x]^(3/2))/(1 - a^2*x^2), x])/(2*c*Sqrt[c - a^2*c*x^2])}
public void test02655() {
	check("Integrate[ArcSin[a*x]^(5/2)/(c - a^2*c*x^2)^(3/2), x]", "(x*ArcSin[a*x]^(5/2))/(c*Sqrt[c - a^2*c*x^2]) - (5*a*Sqrt[1 - a^2*x^2]*Unintegrable[(x*ArcSin[a*x]^(3/2))/(1 - a^2*x^2), x])/(2*c*Sqrt[c - a^2*c*x^2])");

}

// {Sqrt[ArcSin[x/a]]/(a^2 - x^2)^(3/2), x, 1, (x*Sqrt[ArcSin[x/a]])/(a^2*Sqrt[a^2 - x^2]) - (Sqrt[1 - x^2/a^2]*Unintegrable[x/((1 - x^2/a^2)*Sqrt[ArcSin[x/a]]), x])/(2*a^3*Sqrt[a^2 - x^2])}
public void test02656() {
	check("Integrate[Sqrt[ArcSin[x/a]]/(a^2 - x^2)^(3/2), x]", "(x*Sqrt[ArcSin[x/a]])/(a^2*Sqrt[a^2 - x^2]) - (Sqrt[1 - x^2/a^2]*Unintegrable[x/((1 - x^2/a^2)*Sqrt[ArcSin[x/a]]), x])/(2*a^3*Sqrt[a^2 - x^2])");

}

// {ArcSin[x/a]^(3/2)/(a^2 - x^2)^(3/2), x, 1, (x*ArcSin[x/a]^(3/2))/(a^2*Sqrt[a^2 - x^2]) - (3*Sqrt[1 - x^2/a^2]*Unintegrable[(x*Sqrt[ArcSin[x/a]])/(1 - x^2/a^2), x])/(2*a^3*Sqrt[a^2 - x^2])}
public void test02657() {
	check("Integrate[ArcSin[x/a]^(3/2)/(a^2 - x^2)^(3/2), x]", "(x*ArcSin[x/a]^(3/2))/(a^2*Sqrt[a^2 - x^2]) - (3*Sqrt[1 - x^2/a^2]*Unintegrable[(x*Sqrt[ArcSin[x/a]])/(1 - x^2/a^2), x])/(2*a^3*Sqrt[a^2 - x^2])");

}

// {1/((c - a^2*c*x^2)^(3/2)*ArcSin[a*x]^(3/2)), x, 1, (-2*Sqrt[1 - a^2*x^2])/(a*(c - a^2*c*x^2)^(3/2)*Sqrt[ArcSin[a*x]]) + (4*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^2*Sqrt[ArcSin[a*x]]), x])/(c*Sqrt[c - a^2*c*x^2])}
public void test02658() {
	check("Integrate[1/((c - a^2*c*x^2)^(3/2)*ArcSin[a*x]^(3/2)), x]", "(-2*Sqrt[1 - a^2*x^2])/(a*(c - a^2*c*x^2)^(3/2)*Sqrt[ArcSin[a*x]]) + (4*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^2*Sqrt[ArcSin[a*x]]), x])/(c*Sqrt[c - a^2*c*x^2])");

}

// {1/((c - a^2*c*x^2)^(5/2)*ArcSin[a*x]^(3/2)), x, 1, (-2*Sqrt[1 - a^2*x^2])/(a*(c - a^2*c*x^2)^(5/2)*Sqrt[ArcSin[a*x]]) + (8*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^3*Sqrt[ArcSin[a*x]]), x])/(c^2*Sqrt[c - a^2*c*x^2])}
public void test02659() {
	check("Integrate[1/((c - a^2*c*x^2)^(5/2)*ArcSin[a*x]^(3/2)), x]", "(-2*Sqrt[1 - a^2*x^2])/(a*(c - a^2*c*x^2)^(5/2)*Sqrt[ArcSin[a*x]]) + (8*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^3*Sqrt[ArcSin[a*x]]), x])/(c^2*Sqrt[c - a^2*c*x^2])");

}

// {1/((c - a^2*c*x^2)^(3/2)*ArcSin[a*x]^(5/2)), x, 1, (-2*Sqrt[1 - a^2*x^2])/(3*a*(c - a^2*c*x^2)^(3/2)*ArcSin[a*x]^(3/2)) + (4*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^2*ArcSin[a*x]^(3/2)), x])/(3*c*Sqrt[c - a^2*c*x^2])}
public void test02660() {
	check("Integrate[1/((c - a^2*c*x^2)^(3/2)*ArcSin[a*x]^(5/2)), x]", "(-2*Sqrt[1 - a^2*x^2])/(3*a*(c - a^2*c*x^2)^(3/2)*ArcSin[a*x]^(3/2)) + (4*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^2*ArcSin[a*x]^(3/2)), x])/(3*c*Sqrt[c - a^2*c*x^2])");

}

// {1/((c - a^2*c*x^2)^(5/2)*ArcSin[a*x]^(5/2)), x, 1, (-2*Sqrt[1 - a^2*x^2])/(3*a*(c - a^2*c*x^2)^(5/2)*ArcSin[a*x]^(3/2)) + (8*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^3*ArcSin[a*x]^(3/2)), x])/(3*c^2*Sqrt[c - a^2*c*x^2])}
public void test02661() {
	check("Integrate[1/((c - a^2*c*x^2)^(5/2)*ArcSin[a*x]^(5/2)), x]", "(-2*Sqrt[1 - a^2*x^2])/(3*a*(c - a^2*c*x^2)^(5/2)*ArcSin[a*x]^(3/2)) + (8*a*Sqrt[1 - a^2*x^2]*Unintegrable[x/((1 - a^2*x^2)^3*ArcSin[a*x]^(3/2)), x])/(3*c^2*Sqrt[c - a^2*c*x^2])");

}

// {ArcSin[a*x]^n/Sqrt[1 - a^2*x^2], x, 1, ArcSin[a*x]^(1 + n)/(a*(1 + n))}
public void test02662() {
	check("Integrate[ArcSin[a*x]^n/Sqrt[1 - a^2*x^2], x]", "ArcSin[a*x]^(1 + n)/(a*(1 + n))");

}

// {(d + e*x)^m*(a + b*ArcSin[c*x])^2, x, 1, ((d + e*x)^(1 + m)*(a + b*ArcSin[c*x])^2)/(e*(1 + m)) - (2*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcSin[c*x]))/Sqrt[1 - c^2*x^2], x])/(e*(1 + m))}
public void test02663() {
	check("Integrate[(d + e*x)^m*(a + b*ArcSin[c*x])^2, x]", "((d + e*x)^(1 + m)*(a + b*ArcSin[c*x])^2)/(e*(1 + m)) - (2*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcSin[c*x]))/Sqrt[1 - c^2*x^2], x])/(e*(1 + m))");

}

// {1/(x*ArcSin[a + b*x]), x, 1, Unintegrable[1/(x*ArcSin[a + b*x]), x]}
public void test02664() {
	check("Integrate[1/(x*ArcSin[a + b*x]), x]", "Unintegrable[1/(x*ArcSin[a + b*x]), x]");

}

// {1/(x*ArcSin[a + b*x]^2), x, 1, Unintegrable[1/(x*ArcSin[a + b*x]^2), x]}
public void test02665() {
	check("Integrate[1/(x*ArcSin[a + b*x]^2), x]", "Unintegrable[1/(x*ArcSin[a + b*x]^2), x]");

}

// {1/(x*ArcSin[a + b*x]^3), x, 1, Unintegrable[1/(x*ArcSin[a + b*x]^3), x]}
public void test02666() {
	check("Integrate[1/(x*ArcSin[a + b*x]^3), x]", "Unintegrable[1/(x*ArcSin[a + b*x]^3), x]");

}

// {x^m*(a + b*ArcSin[c + d*x])^n, x, 1, Unintegrable[x^m*(a + b*ArcSin[c + d*x])^n, x]}
public void test02667() {
	check("Integrate[x^m*(a + b*ArcSin[c + d*x])^n, x]", "Unintegrable[x^m*(a + b*ArcSin[c + d*x])^n, x]");

}

// {(a + b*ArcSin[c + d*x])^n/x, x, 1, Unintegrable[(a + b*ArcSin[c + d*x])^n/x, x]}
public void test02668() {
	check("Integrate[(a + b*ArcSin[c + d*x])^n/x, x]", "Unintegrable[(a + b*ArcSin[c + d*x])^n/x, x]");

}

// {(c*e + d*e*x)^m/(a + b*ArcSin[c + d*x]), x, 1, Unintegrable[(e*(c + d*x))^m/(a + b*ArcSin[c + d*x]), x]}
public void test02669() {
	check("Integrate[(c*e + d*e*x)^m/(a + b*ArcSin[c + d*x]), x]", "Unintegrable[(e*(c + d*x))^m/(a + b*ArcSin[c + d*x]), x]");

}

// {1/((1 - a^2 - 2*a*b*x - b^2*x^2)^(3/2)*ArcSin[a + b*x]), x, 1, Unintegrable[1/((1 - (a + b*x)^2)^(3/2)*ArcSin[a + b*x]), x]}
public void test02670() {
	check("Integrate[1/((1 - a^2 - 2*a*b*x - b^2*x^2)^(3/2)*ArcSin[a + b*x]), x]", "Unintegrable[1/((1 - (a + b*x)^2)^(3/2)*ArcSin[a + b*x]), x]");

}

// {(a + b*ArcSin[1 + d*x^2])^(-1), x, 1, -(x*CosIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(2*b*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])) - (x*(Cos[a/(2*b)] + Sin[a/(2*b)])*SinIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)])/(2*b*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))}
public void test02671() {
	check("Integrate[(a + b*ArcSin[1 + d*x^2])^(-1), x]", "-(x*CosIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(2*b*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])) - (x*(Cos[a/(2*b)] + Sin[a/(2*b)])*SinIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)])/(2*b*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))");

}

// {(a + b*ArcSin[1 + d*x^2])^(-2), x, 1, -Sqrt[-2*d*x^2 - d^2*x^4]/(2*b*d*x*(a + b*ArcSin[1 + d*x^2])) - (x*CosIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])) + (x*(Cos[a/(2*b)] - Sin[a/(2*b)])*SinIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)])/(4*b^2*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))}
public void test02672() {
	check("Integrate[(a + b*ArcSin[1 + d*x^2])^(-2), x]", "-Sqrt[-2*d*x^2 - d^2*x^4]/(2*b*d*x*(a + b*ArcSin[1 + d*x^2])) - (x*CosIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])) + (x*(Cos[a/(2*b)] - Sin[a/(2*b)])*SinIntegral[(a + b*ArcSin[1 + d*x^2])/(2*b)])/(4*b^2*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))");

}

// {(a - b*ArcSin[1 - d*x^2])^(-1), x, 1, (x*CosIntegral[-(a - b*ArcSin[1 - d*x^2])/(2*b)]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(2*b*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])) - (x*(Cos[a/(2*b)] - Sin[a/(2*b)])*SinIntegral[a/(2*b) - ArcSin[1 - d*x^2]/2])/(2*b*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))}
public void test02673() {
	check("Integrate[(a - b*ArcSin[1 - d*x^2])^(-1), x]", "(x*CosIntegral[-(a - b*ArcSin[1 - d*x^2])/(2*b)]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(2*b*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])) - (x*(Cos[a/(2*b)] - Sin[a/(2*b)])*SinIntegral[a/(2*b) - ArcSin[1 - d*x^2]/2])/(2*b*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))");

}

// {(a - b*ArcSin[1 - d*x^2])^(-2), x, 1, -Sqrt[2*d*x^2 - d^2*x^4]/(2*b*d*x*(a - b*ArcSin[1 - d*x^2])) - (x*CosIntegral[-(a - b*ArcSin[1 - d*x^2])/(2*b)]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])) - (x*(Cos[a/(2*b)] + Sin[a/(2*b)])*SinIntegral[a/(2*b) - ArcSin[1 - d*x^2]/2])/(4*b^2*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))}
public void test02674() {
	check("Integrate[(a - b*ArcSin[1 - d*x^2])^(-2), x]", "-Sqrt[2*d*x^2 - d^2*x^4]/(2*b*d*x*(a - b*ArcSin[1 - d*x^2])) - (x*CosIntegral[-(a - b*ArcSin[1 - d*x^2])/(2*b)]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])) - (x*(Cos[a/(2*b)] + Sin[a/(2*b)])*SinIntegral[a/(2*b) - ArcSin[1 - d*x^2]/2])/(4*b^2*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))");

}

// {Sqrt[a + b*ArcSin[1 + d*x^2]], x, 1, x*Sqrt[a + b*ArcSin[1 + d*x^2]] + (Sqrt[Pi]*x*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[b^(-1)]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])) - (Sqrt[Pi]*x*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[b^(-1)]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))}
public void test02675() {
	check("Integrate[Sqrt[a + b*ArcSin[1 + d*x^2]], x]", "x*Sqrt[a + b*ArcSin[1 + d*x^2]] + (Sqrt[Pi]*x*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[b^(-1)]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])) - (Sqrt[Pi]*x*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[b^(-1)]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))");

}

// {1/Sqrt[a + b*ArcSin[1 + d*x^2]], x, 1, -((Sqrt[Pi]*x*FresnelC[Sqrt[a + b*ArcSin[1 + d*x^2]]/(Sqrt[b]*Sqrt[Pi])]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[b]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelS[Sqrt[a + b*ArcSin[1 + d*x^2]]/(Sqrt[b]*Sqrt[Pi])]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[b]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))}
public void test02676() {
	check("Integrate[1/Sqrt[a + b*ArcSin[1 + d*x^2]], x]", "-((Sqrt[Pi]*x*FresnelC[Sqrt[a + b*ArcSin[1 + d*x^2]]/(Sqrt[b]*Sqrt[Pi])]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[b]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelS[Sqrt[a + b*ArcSin[1 + d*x^2]]/(Sqrt[b]*Sqrt[Pi])]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[b]*(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]))");

}

// {(a + b*ArcSin[1 + d*x^2])^(-3/2), x, 1, -(Sqrt[-2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a + b*ArcSin[1 + d*x^2]])) + ((b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]) - ((b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])}
public void test02677() {
	check("Integrate[(a + b*ArcSin[1 + d*x^2])^(-3/2), x]", "-(Sqrt[-2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a + b*ArcSin[1 + d*x^2]])) + ((b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2]) - ((b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcSin[1 + d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Cos[ArcSin[1 + d*x^2]/2] - Sin[ArcSin[1 + d*x^2]/2])");

}

// {Sqrt[a - b*ArcSin[1 - d*x^2]], x, 1, x*Sqrt[a - b*ArcSin[1 - d*x^2]] - (Sqrt[Pi]*x*FresnelC[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[-b^(-1)]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])) + (Sqrt[Pi]*x*FresnelS[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[-b^(-1)]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))}
public void test02678() {
	check("Integrate[Sqrt[a - b*ArcSin[1 - d*x^2]], x]", "x*Sqrt[a - b*ArcSin[1 - d*x^2]] - (Sqrt[Pi]*x*FresnelC[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[-b^(-1)]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])) + (Sqrt[Pi]*x*FresnelS[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[-b^(-1)]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))");

}

// {1/Sqrt[a - b*ArcSin[1 - d*x^2]], x, 1, -((Sqrt[Pi]*x*FresnelS[Sqrt[a - b*ArcSin[1 - d*x^2]]/(Sqrt[-b]*Sqrt[Pi])]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[-b]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelC[Sqrt[a - b*ArcSin[1 - d*x^2]]/(Sqrt[-b]*Sqrt[Pi])]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[-b]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))}
public void test02679() {
	check("Integrate[1/Sqrt[a - b*ArcSin[1 - d*x^2]], x]", "-((Sqrt[Pi]*x*FresnelS[Sqrt[a - b*ArcSin[1 - d*x^2]]/(Sqrt[-b]*Sqrt[Pi])]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Sqrt[-b]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelC[Sqrt[a - b*ArcSin[1 - d*x^2]]/(Sqrt[-b]*Sqrt[Pi])]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Sqrt[-b]*(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]))");

}

// {(a - b*ArcSin[1 - d*x^2])^(-3/2), x, 1, -(Sqrt[2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a - b*ArcSin[1 - d*x^2]])) - ((-b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]) + ((-b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])}
public void test02680() {
	check("Integrate[(a - b*ArcSin[1 - d*x^2])^(-3/2), x]", "-(Sqrt[2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a - b*ArcSin[1 - d*x^2]])) - ((-b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] - Sin[a/(2*b)]))/(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2]) + ((-b^(-1))^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[-b^(-1)]*Sqrt[a - b*ArcSin[1 - d*x^2]])/Sqrt[Pi]]*(Cos[a/(2*b)] + Sin[a/(2*b)]))/(Cos[ArcSin[1 - d*x^2]/2] - Sin[ArcSin[1 - d*x^2]/2])");

}

// {(b*x)^m*ArcCos[a*x]^4, x, 1, ((b*x)^(1 + m)*ArcCos[a*x]^4)/(b*(1 + m)) + (4*a*Unintegrable[((b*x)^(1 + m)*ArcCos[a*x]^3)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))}
public void test02681() {
	check("Integrate[(b*x)^m*ArcCos[a*x]^4, x]", "((b*x)^(1 + m)*ArcCos[a*x]^4)/(b*(1 + m)) + (4*a*Unintegrable[((b*x)^(1 + m)*ArcCos[a*x]^3)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))");

}

// {(b*x)^m*ArcCos[a*x]^3, x, 1, ((b*x)^(1 + m)*ArcCos[a*x]^3)/(b*(1 + m)) + (3*a*Unintegrable[((b*x)^(1 + m)*ArcCos[a*x]^2)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))}
public void test02682() {
	check("Integrate[(b*x)^m*ArcCos[a*x]^3, x]", "((b*x)^(1 + m)*ArcCos[a*x]^3)/(b*(1 + m)) + (3*a*Unintegrable[((b*x)^(1 + m)*ArcCos[a*x]^2)/Sqrt[1 - a^2*x^2], x])/(b*(1 + m))");

}

// {(d*x)^(3/2)*(a + b*ArcCos[c*x])^3, x, 1, (2*(d*x)^(5/2)*(a + b*ArcCos[c*x])^3)/(5*d) + (6*b*c*Unintegrable[((d*x)^(5/2)*(a + b*ArcCos[c*x])^2)/Sqrt[1 - c^2*x^2], x])/(5*d)}
public void test02683() {
	check("Integrate[(d*x)^(3/2)*(a + b*ArcCos[c*x])^3, x]", "(2*(d*x)^(5/2)*(a + b*ArcCos[c*x])^3)/(5*d) + (6*b*c*Unintegrable[((d*x)^(5/2)*(a + b*ArcCos[c*x])^2)/Sqrt[1 - c^2*x^2], x])/(5*d)");

}

// {Sqrt[d*x]*(a + b*ArcCos[c*x])^3, x, 1, (2*(d*x)^(3/2)*(a + b*ArcCos[c*x])^3)/(3*d) + (2*b*c*Unintegrable[((d*x)^(3/2)*(a + b*ArcCos[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d}
public void test02684() {
	check("Integrate[Sqrt[d*x]*(a + b*ArcCos[c*x])^3, x]", "(2*(d*x)^(3/2)*(a + b*ArcCos[c*x])^3)/(3*d) + (2*b*c*Unintegrable[((d*x)^(3/2)*(a + b*ArcCos[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d");

}

// {(a + b*ArcCos[c*x])^3/Sqrt[d*x], x, 1, (2*Sqrt[d*x]*(a + b*ArcCos[c*x])^3)/d + (6*b*c*Unintegrable[(Sqrt[d*x]*(a + b*ArcCos[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d}
public void test02685() {
	check("Integrate[(a + b*ArcCos[c*x])^3/Sqrt[d*x], x]", "(2*Sqrt[d*x]*(a + b*ArcCos[c*x])^3)/d + (6*b*c*Unintegrable[(Sqrt[d*x]*(a + b*ArcCos[c*x])^2)/Sqrt[1 - c^2*x^2], x])/d");

}

// {(a + b*ArcCos[c*x])^3/(d*x)^(3/2), x, 1, (-2*(a + b*ArcCos[c*x])^3)/(d*Sqrt[d*x]) - (6*b*c*Unintegrable[(a + b*ArcCos[c*x])^2/(Sqrt[d*x]*Sqrt[1 - c^2*x^2]), x])/d}
public void test02686() {
	check("Integrate[(a + b*ArcCos[c*x])^3/(d*x)^(3/2), x]", "(-2*(a + b*ArcCos[c*x])^3)/(d*Sqrt[d*x]) - (6*b*c*Unintegrable[(a + b*ArcCos[c*x])^2/(Sqrt[d*x]*Sqrt[1 - c^2*x^2]), x])/d");

}

// {(a + b*ArcCos[c*x])^3/(d*x)^(5/2), x, 1, (-2*(a + b*ArcCos[c*x])^3)/(3*d*(d*x)^(3/2)) - (2*b*c*Unintegrable[(a + b*ArcCos[c*x])^2/((d*x)^(3/2)*Sqrt[1 - c^2*x^2]), x])/d}
public void test02687() {
	check("Integrate[(a + b*ArcCos[c*x])^3/(d*x)^(5/2), x]", "(-2*(a + b*ArcCos[c*x])^3)/(3*d*(d*x)^(3/2)) - (2*b*c*Unintegrable[(a + b*ArcCos[c*x])^2/((d*x)^(3/2)*Sqrt[1 - c^2*x^2]), x])/d");

}

// {(a + b*ArcCos[1 + d*x^2])^(-1), x, 1, (x*Cos[a/(2*b)]*CosIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[-(d*x^2)]) + (x*Sin[a/(2*b)]*SinIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[-(d*x^2)])}
public void test02688() {
	check("Integrate[(a + b*ArcCos[1 + d*x^2])^(-1), x]", "(x*Cos[a/(2*b)]*CosIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[-(d*x^2)]) + (x*Sin[a/(2*b)]*SinIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[-(d*x^2)])");

}

// {(a + b*ArcCos[1 + d*x^2])^(-2), x, 1, Sqrt[-2*d*x^2 - d^2*x^4]/(2*b*d*x*(a + b*ArcCos[1 + d*x^2])) + (x*CosIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)]*Sin[a/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[-(d*x^2)]) - (x*Cos[a/(2*b)]*SinIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[-(d*x^2)])}
public void test02689() {
	check("Integrate[(a + b*ArcCos[1 + d*x^2])^(-2), x]", "Sqrt[-2*d*x^2 - d^2*x^4]/(2*b*d*x*(a + b*ArcCos[1 + d*x^2])) + (x*CosIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)]*Sin[a/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[-(d*x^2)]) - (x*Cos[a/(2*b)]*SinIntegral[(a + b*ArcCos[1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[-(d*x^2)])");

}

// {(a + b*ArcCos[-1 + d*x^2])^(-1), x, 1, (x*CosIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)]*Sin[a/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2]) - (x*Cos[a/(2*b)]*SinIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])}
public void test02690() {
	check("Integrate[(a + b*ArcCos[-1 + d*x^2])^(-1), x]", "(x*CosIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)]*Sin[a/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2]) - (x*Cos[a/(2*b)]*SinIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])");

}

// {(a + b*ArcCos[-1 + d*x^2])^(-2), x, 1, Sqrt[2*d*x^2 - d^2*x^4]/(2*b*d*x*(a + b*ArcCos[-1 + d*x^2])) - (x*Cos[a/(2*b)]*CosIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2]) - (x*Sin[a/(2*b)]*SinIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2])}
public void test02691() {
	check("Integrate[(a + b*ArcCos[-1 + d*x^2])^(-2), x]", "Sqrt[2*d*x^2 - d^2*x^4]/(2*b*d*x*(a + b*ArcCos[-1 + d*x^2])) - (x*Cos[a/(2*b)]*CosIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2]) - (x*Sin[a/(2*b)]*SinIntegral[(a + b*ArcCos[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2])");

}

// {Sqrt[a + b*ArcCos[1 + d*x^2]], x, 1, (2*Sqrt[Pi]*Cos[a/(2*b)]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[ArcCos[1 + d*x^2]/2])/(Sqrt[b^(-1)]*d*x) - (2*Sqrt[Pi]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)]*Sin[ArcCos[1 + d*x^2]/2])/(Sqrt[b^(-1)]*d*x) - (2*Sqrt[a + b*ArcCos[1 + d*x^2]]*Sin[ArcCos[1 + d*x^2]/2]^2)/(d*x)}
public void test02692() {
	check("Integrate[Sqrt[a + b*ArcCos[1 + d*x^2]], x]", "(2*Sqrt[Pi]*Cos[a/(2*b)]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[ArcCos[1 + d*x^2]/2])/(Sqrt[b^(-1)]*d*x) - (2*Sqrt[Pi]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)]*Sin[ArcCos[1 + d*x^2]/2])/(Sqrt[b^(-1)]*d*x) - (2*Sqrt[a + b*ArcCos[1 + d*x^2]]*Sin[ArcCos[1 + d*x^2]/2]^2)/(d*x)");

}

// {1/Sqrt[a + b*ArcCos[1 + d*x^2]], x, 1, (-2*Sqrt[b^(-1)]*Sqrt[Pi]*Cos[a/(2*b)]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[ArcCos[1 + d*x^2]/2])/(d*x) - (2*Sqrt[b^(-1)]*Sqrt[Pi]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)]*Sin[ArcCos[1 + d*x^2]/2])/(d*x)}
public void test02693() {
	check("Integrate[1/Sqrt[a + b*ArcCos[1 + d*x^2]], x]", "(-2*Sqrt[b^(-1)]*Sqrt[Pi]*Cos[a/(2*b)]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[ArcCos[1 + d*x^2]/2])/(d*x) - (2*Sqrt[b^(-1)]*Sqrt[Pi]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)]*Sin[ArcCos[1 + d*x^2]/2])/(d*x)");

}

// {(a + b*ArcCos[1 + d*x^2])^(-3/2), x, 1, Sqrt[-2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a + b*ArcCos[1 + d*x^2]]) + (2*(b^(-1))^(3/2)*Sqrt[Pi]*Cos[a/(2*b)]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[ArcCos[1 + d*x^2]/2])/(d*x) - (2*(b^(-1))^(3/2)*Sqrt[Pi]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)]*Sin[ArcCos[1 + d*x^2]/2])/(d*x)}
public void test02694() {
	check("Integrate[(a + b*ArcCos[1 + d*x^2])^(-3/2), x]", "Sqrt[-2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a + b*ArcCos[1 + d*x^2]]) + (2*(b^(-1))^(3/2)*Sqrt[Pi]*Cos[a/(2*b)]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[ArcCos[1 + d*x^2]/2])/(d*x) - (2*(b^(-1))^(3/2)*Sqrt[Pi]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)]*Sin[ArcCos[1 + d*x^2]/2])/(d*x)");

}

// {Sqrt[a + b*ArcCos[-1 + d*x^2]], x, 1, (2*Sqrt[a + b*ArcCos[-1 + d*x^2]]*Cos[ArcCos[-1 + d*x^2]/2]^2)/(d*x) - (2*Sqrt[Pi]*Cos[a/(2*b)]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]])/(Sqrt[b^(-1)]*d*x) - (2*Sqrt[Pi]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)])/(Sqrt[b^(-1)]*d*x)}
public void test02695() {
	check("Integrate[Sqrt[a + b*ArcCos[-1 + d*x^2]], x]", "(2*Sqrt[a + b*ArcCos[-1 + d*x^2]]*Cos[ArcCos[-1 + d*x^2]/2]^2)/(d*x) - (2*Sqrt[Pi]*Cos[a/(2*b)]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]])/(Sqrt[b^(-1)]*d*x) - (2*Sqrt[Pi]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)])/(Sqrt[b^(-1)]*d*x)");

}

// {1/Sqrt[a + b*ArcCos[-1 + d*x^2]], x, 1, (-2*Sqrt[b^(-1)]*Sqrt[Pi]*Cos[a/(2*b)]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]])/(d*x) + (2*Sqrt[b^(-1)]*Sqrt[Pi]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)])/(d*x)}
public void test02696() {
	check("Integrate[1/Sqrt[a + b*ArcCos[-1 + d*x^2]], x]", "(-2*Sqrt[b^(-1)]*Sqrt[Pi]*Cos[a/(2*b)]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]])/(d*x) + (2*Sqrt[b^(-1)]*Sqrt[Pi]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)])/(d*x)");

}

// {(a + b*ArcCos[-1 + d*x^2])^(-3/2), x, 1, Sqrt[2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a + b*ArcCos[-1 + d*x^2]]) - (2*(b^(-1))^(3/2)*Sqrt[Pi]*Cos[a/(2*b)]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]])/(d*x) - (2*(b^(-1))^(3/2)*Sqrt[Pi]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)])/(d*x)}
public void test02697() {
	check("Integrate[(a + b*ArcCos[-1 + d*x^2])^(-3/2), x]", "Sqrt[2*d*x^2 - d^2*x^4]/(b*d*x*Sqrt[a + b*ArcCos[-1 + d*x^2]]) - (2*(b^(-1))^(3/2)*Sqrt[Pi]*Cos[a/(2*b)]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelC[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]])/(d*x) - (2*(b^(-1))^(3/2)*Sqrt[Pi]*Cos[ArcCos[-1 + d*x^2]/2]*FresnelS[(Sqrt[b^(-1)]*Sqrt[a + b*ArcCos[-1 + d*x^2]])/Sqrt[Pi]]*Sin[a/(2*b)])/(d*x)");

}

// {(a + b*ArcTan[c*x])^2/(d + e*x), x, 1, -(((a + b*ArcTan[c*x])^2*Log[2/(1 - I*c*x)])/e) + ((a + b*ArcTan[c*x])^2*Log[(2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e + (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - 2/(1 - I*c*x)])/e - (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e - (b^2*PolyLog[3, 1 - 2/(1 - I*c*x)])/(2*e) + (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/(2*e)}
public void test02698() {
	check("Integrate[(a + b*ArcTan[c*x])^2/(d + e*x), x]", "-(((a + b*ArcTan[c*x])^2*Log[2/(1 - I*c*x)])/e) + ((a + b*ArcTan[c*x])^2*Log[(2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e + (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - 2/(1 - I*c*x)])/e - (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e - (b^2*PolyLog[3, 1 - 2/(1 - I*c*x)])/(2*e) + (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/(2*e)");

}

// {(a + b*ArcTan[c*x])^3/(d + e*x), x, 1, -(((a + b*ArcTan[c*x])^3*Log[2/(1 - I*c*x)])/e) + ((a + b*ArcTan[c*x])^3*Log[(2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e + (((3*I)/2)*b*(a + b*ArcTan[c*x])^2*PolyLog[2, 1 - 2/(1 - I*c*x)])/e - (((3*I)/2)*b*(a + b*ArcTan[c*x])^2*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e - (3*b^2*(a + b*ArcTan[c*x])*PolyLog[3, 1 - 2/(1 - I*c*x)])/(2*e) + (3*b^2*(a + b*ArcTan[c*x])*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/(2*e) - (((3*I)/4)*b^3*PolyLog[4, 1 - 2/(1 - I*c*x)])/e + (((3*I)/4)*b^3*PolyLog[4, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e}
public void test02699() {
	check("Integrate[(a + b*ArcTan[c*x])^3/(d + e*x), x]", "-(((a + b*ArcTan[c*x])^3*Log[2/(1 - I*c*x)])/e) + ((a + b*ArcTan[c*x])^3*Log[(2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e + (((3*I)/2)*b*(a + b*ArcTan[c*x])^2*PolyLog[2, 1 - 2/(1 - I*c*x)])/e - (((3*I)/2)*b*(a + b*ArcTan[c*x])^2*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e - (3*b^2*(a + b*ArcTan[c*x])*PolyLog[3, 1 - 2/(1 - I*c*x)])/(2*e) + (3*b^2*(a + b*ArcTan[c*x])*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/(2*e) - (((3*I)/4)*b^3*PolyLog[4, 1 - 2/(1 - I*c*x)])/e + (((3*I)/4)*b^3*PolyLog[4, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e");

}

// {(a + b*ArcTan[c*x])^2/(d + e*x), x, 1, -(((a + b*ArcTan[c*x])^2*Log[2/(1 - I*c*x)])/e) + ((a + b*ArcTan[c*x])^2*Log[(2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e + (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - 2/(1 - I*c*x)])/e - (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e - (b^2*PolyLog[3, 1 - 2/(1 - I*c*x)])/(2*e) + (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/(2*e)}
public void test02700() {
	check("Integrate[(a + b*ArcTan[c*x])^2/(d + e*x), x]", "-(((a + b*ArcTan[c*x])^2*Log[2/(1 - I*c*x)])/e) + ((a + b*ArcTan[c*x])^2*Log[(2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e + (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - 2/(1 - I*c*x)])/e - (I*b*(a + b*ArcTan[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/e - (b^2*PolyLog[3, 1 - 2/(1 - I*c*x)])/(2*e) + (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + I*e)*(1 - I*c*x))])/(2*e)");

}

// {ArcTan[a*x]/(c + a^2*c*x^2), x, 1, ArcTan[a*x]^2/(2*a*c)}
public void test02701() {
	check("Integrate[ArcTan[a*x]/(c + a^2*c*x^2), x]", "ArcTan[a*x]^2/(2*a*c)");

}

// {ArcTan[a*x]/(c + a^2*c*x^2)^(3/2), x, 1, 1/(a*c*Sqrt[c + a^2*c*x^2]) + (x*ArcTan[a*x])/(c*Sqrt[c + a^2*c*x^2])}
public void test02702() {
	check("Integrate[ArcTan[a*x]/(c + a^2*c*x^2)^(3/2), x]", "1/(a*c*Sqrt[c + a^2*c*x^2]) + (x*ArcTan[a*x])/(c*Sqrt[c + a^2*c*x^2])");

}

// {ArcTan[a*x]^2/(c + a^2*c*x^2), x, 1, ArcTan[a*x]^3/(3*a*c)}
public void test02703() {
	check("Integrate[ArcTan[a*x]^2/(c + a^2*c*x^2), x]", "ArcTan[a*x]^3/(3*a*c)");

}

// {ArcTan[a*x]^3/(c + a^2*c*x^2), x, 1, ArcTan[a*x]^4/(4*a*c)}
public void test02704() {
	check("Integrate[ArcTan[a*x]^3/(c + a^2*c*x^2), x]", "ArcTan[a*x]^4/(4*a*c)");

}

// {1/((c + a^2*c*x^2)*ArcTan[a*x]), x, 1, Log[ArcTan[a*x]]/(a*c)}
public void test02705() {
	check("Integrate[1/((c + a^2*c*x^2)*ArcTan[a*x]), x]", "Log[ArcTan[a*x]]/(a*c)");

}

// {x^3/((c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(x^3/(a*c*ArcTan[a*x])) + (3*Unintegrable[x^2/ArcTan[a*x], x])/(a*c)}
public void test02706() {
	check("Integrate[x^3/((c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(x^3/(a*c*ArcTan[a*x])) + (3*Unintegrable[x^2/ArcTan[a*x], x])/(a*c)");

}

// {x^2/((c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(x^2/(a*c*ArcTan[a*x])) + (2*Unintegrable[x/ArcTan[a*x], x])/(a*c)}
public void test02707() {
	check("Integrate[x^2/((c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(x^2/(a*c*ArcTan[a*x])) + (2*Unintegrable[x/ArcTan[a*x], x])/(a*c)");

}

// {x/((c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(x/(a*c*ArcTan[a*x])) + Unintegrable[ArcTan[a*x]^(-1), x]/(a*c)}
public void test02708() {
	check("Integrate[x/((c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(x/(a*c*ArcTan[a*x])) + Unintegrable[ArcTan[a*x]^(-1), x]/(a*c)");

}

// {1/((c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(1/(a*c*ArcTan[a*x]))}
public void test02709() {
	check("Integrate[1/((c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(1/(a*c*ArcTan[a*x]))");

}

// {1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(1/(a*c*x*ArcTan[a*x])) - Unintegrable[1/(x^2*ArcTan[a*x]), x]/(a*c)}
public void test02710() {
	check("Integrate[1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(1/(a*c*x*ArcTan[a*x])) - Unintegrable[1/(x^2*ArcTan[a*x]), x]/(a*c)");

}

// {1/(x^2*(c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(1/(a*c*x^2*ArcTan[a*x])) - (2*Unintegrable[1/(x^3*ArcTan[a*x]), x])/(a*c)}
public void test02711() {
	check("Integrate[1/(x^2*(c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(1/(a*c*x^2*ArcTan[a*x])) - (2*Unintegrable[1/(x^3*ArcTan[a*x]), x])/(a*c)");

}

// {1/(x^3*(c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(1/(a*c*x^3*ArcTan[a*x])) - (3*Unintegrable[1/(x^4*ArcTan[a*x]), x])/(a*c)}
public void test02712() {
	check("Integrate[1/(x^3*(c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(1/(a*c*x^3*ArcTan[a*x])) - (3*Unintegrable[1/(x^4*ArcTan[a*x]), x])/(a*c)");

}

// {1/(x^4*(c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(1/(a*c*x^4*ArcTan[a*x])) - (4*Unintegrable[1/(x^5*ArcTan[a*x]), x])/(a*c)}
public void test02713() {
	check("Integrate[1/(x^4*(c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(1/(a*c*x^4*ArcTan[a*x])) - (4*Unintegrable[1/(x^5*ArcTan[a*x]), x])/(a*c)");

}

// {1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^2), x, 1, -(Sqrt[c + a^2*c*x^2]/(a*c*x*ArcTan[a*x])) - Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]), x]/a}
public void test02714() {
	check("Integrate[1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^2), x]", "-(Sqrt[c + a^2*c*x^2]/(a*c*x*ArcTan[a*x])) - Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]), x]/a");

}

// {x^m/((c + a^2*c*x^2)*ArcTan[a*x]^2), x, 1, -(x^m/(a*c*ArcTan[a*x])) + (m*Unintegrable[x^(-1 + m)/ArcTan[a*x], x])/(a*c)}
public void test02715() {
	check("Integrate[x^m/((c + a^2*c*x^2)*ArcTan[a*x]^2), x]", "-(x^m/(a*c*ArcTan[a*x])) + (m*Unintegrable[x^(-1 + m)/ArcTan[a*x], x])/(a*c)");

}

// {x^3/((c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -x^3/(2*a*c*ArcTan[a*x]^2) + (3*Unintegrable[x^2/ArcTan[a*x]^2, x])/(2*a*c)}
public void test02716() {
	check("Integrate[x^3/((c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-x^3/(2*a*c*ArcTan[a*x]^2) + (3*Unintegrable[x^2/ArcTan[a*x]^2, x])/(2*a*c)");

}

// {x^2/((c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -x^2/(2*a*c*ArcTan[a*x]^2) + Unintegrable[x/ArcTan[a*x]^2, x]/(a*c)}
public void test02717() {
	check("Integrate[x^2/((c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-x^2/(2*a*c*ArcTan[a*x]^2) + Unintegrable[x/ArcTan[a*x]^2, x]/(a*c)");

}

// {x/((c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -x/(2*a*c*ArcTan[a*x]^2) + Unintegrable[ArcTan[a*x]^(-2), x]/(2*a*c)}
public void test02718() {
	check("Integrate[x/((c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-x/(2*a*c*ArcTan[a*x]^2) + Unintegrable[ArcTan[a*x]^(-2), x]/(2*a*c)");

}

// {1/((c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -1/(2*a*c*ArcTan[a*x]^2)}
public void test02719() {
	check("Integrate[1/((c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-1/(2*a*c*ArcTan[a*x]^2)");

}

// {1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -1/(2*a*c*x*ArcTan[a*x]^2) - Unintegrable[1/(x^2*ArcTan[a*x]^2), x]/(2*a*c)}
public void test02720() {
	check("Integrate[1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-1/(2*a*c*x*ArcTan[a*x]^2) - Unintegrable[1/(x^2*ArcTan[a*x]^2), x]/(2*a*c)");

}

// {1/(x^2*(c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -1/(2*a*c*x^2*ArcTan[a*x]^2) - Unintegrable[1/(x^3*ArcTan[a*x]^2), x]/(a*c)}
public void test02721() {
	check("Integrate[1/(x^2*(c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-1/(2*a*c*x^2*ArcTan[a*x]^2) - Unintegrable[1/(x^3*ArcTan[a*x]^2), x]/(a*c)");

}

// {1/(x^3*(c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -1/(2*a*c*x^3*ArcTan[a*x]^2) - (3*Unintegrable[1/(x^4*ArcTan[a*x]^2), x])/(2*a*c)}
public void test02722() {
	check("Integrate[1/(x^3*(c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-1/(2*a*c*x^3*ArcTan[a*x]^2) - (3*Unintegrable[1/(x^4*ArcTan[a*x]^2), x])/(2*a*c)");

}

// {1/(x^4*(c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -1/(2*a*c*x^4*ArcTan[a*x]^2) - (2*Unintegrable[1/(x^5*ArcTan[a*x]^2), x])/(a*c)}
public void test02723() {
	check("Integrate[1/(x^4*(c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-1/(2*a*c*x^4*ArcTan[a*x]^2) - (2*Unintegrable[1/(x^5*ArcTan[a*x]^2), x])/(a*c)");

}

// {1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^3), x, 1, -Sqrt[c + a^2*c*x^2]/(2*a*c*x*ArcTan[a*x]^2) - Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^2), x]/(2*a)}
public void test02724() {
	check("Integrate[1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^3), x]", "-Sqrt[c + a^2*c*x^2]/(2*a*c*x*ArcTan[a*x]^2) - Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^2), x]/(2*a)");

}

// {x^m/((c + a^2*c*x^2)*ArcTan[a*x]^3), x, 1, -x^m/(2*a*c*ArcTan[a*x]^2) + (m*Unintegrable[x^(-1 + m)/ArcTan[a*x]^2, x])/(2*a*c)}
public void test02725() {
	check("Integrate[x^m/((c + a^2*c*x^2)*ArcTan[a*x]^3), x]", "-x^m/(2*a*c*ArcTan[a*x]^2) + (m*Unintegrable[x^(-1 + m)/ArcTan[a*x]^2, x])/(2*a*c)");

}

// {x*(c + a^2*c*x^2)*Sqrt[ArcTan[a*x]], x, 1, (c*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]])/(4*a^2) - Unintegrable[(c + a^2*c*x^2)/Sqrt[ArcTan[a*x]], x]/(8*a)}
public void test02726() {
	check("Integrate[x*(c + a^2*c*x^2)*Sqrt[ArcTan[a*x]], x]", "(c*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]])/(4*a^2) - Unintegrable[(c + a^2*c*x^2)/Sqrt[ArcTan[a*x]], x]/(8*a)");

}

// {x*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]], x, 1, (c^2*(1 + a^2*x^2)^3*Sqrt[ArcTan[a*x]])/(6*a^2) - Unintegrable[(c + a^2*c*x^2)^2/Sqrt[ArcTan[a*x]], x]/(12*a)}
public void test02727() {
	check("Integrate[x*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]], x]", "(c^2*(1 + a^2*x^2)^3*Sqrt[ArcTan[a*x]])/(6*a^2) - Unintegrable[(c + a^2*c*x^2)^2/Sqrt[ArcTan[a*x]], x]/(12*a)");

}

// {x*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]], x, 1, (c^3*(1 + a^2*x^2)^4*Sqrt[ArcTan[a*x]])/(8*a^2) - Unintegrable[(c + a^2*c*x^2)^3/Sqrt[ArcTan[a*x]], x]/(16*a)}
public void test02728() {
	check("Integrate[x*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]], x]", "(c^3*(1 + a^2*x^2)^4*Sqrt[ArcTan[a*x]])/(8*a^2) - Unintegrable[(c + a^2*c*x^2)^3/Sqrt[ArcTan[a*x]], x]/(16*a)");

}

// {(x*Sqrt[ArcTan[a*x]])/(c + a^2*c*x^2), x, 1, (2*x*ArcTan[a*x]^(3/2))/(3*a*c) - (2*Unintegrable[ArcTan[a*x]^(3/2), x])/(3*a*c)}
public void test02729() {
	check("Integrate[(x*Sqrt[ArcTan[a*x]])/(c + a^2*c*x^2), x]", "(2*x*ArcTan[a*x]^(3/2))/(3*a*c) - (2*Unintegrable[ArcTan[a*x]^(3/2), x])/(3*a*c)");

}

// {Sqrt[ArcTan[a*x]]/(c + a^2*c*x^2), x, 1, (2*ArcTan[a*x]^(3/2))/(3*a*c)}
public void test02730() {
	check("Integrate[Sqrt[ArcTan[a*x]]/(c + a^2*c*x^2), x]", "(2*ArcTan[a*x]^(3/2))/(3*a*c)");

}

// {Sqrt[ArcTan[a*x]]/(x*(c + a^2*c*x^2)), x, 1, (((-2*I)/3)*ArcTan[a*x]^(3/2))/c + (I*Unintegrable[Sqrt[ArcTan[a*x]]/(x*(I + a*x)), x])/c}
public void test02731() {
	check("Integrate[Sqrt[ArcTan[a*x]]/(x*(c + a^2*c*x^2)), x]", "(((-2*I)/3)*ArcTan[a*x]^(3/2))/c + (I*Unintegrable[Sqrt[ArcTan[a*x]]/(x*(I + a*x)), x])/c");

}

// {x*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]], x, 1, ((c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]])/(3*a^2*c) - Unintegrable[Sqrt[c + a^2*c*x^2]/Sqrt[ArcTan[a*x]], x]/(6*a)}
public void test02732() {
	check("Integrate[x*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]], x]", "((c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]])/(3*a^2*c) - Unintegrable[Sqrt[c + a^2*c*x^2]/Sqrt[ArcTan[a*x]], x]/(6*a)");

}

// {x*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]], x, 1, ((c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]])/(5*a^2*c) - Unintegrable[(c + a^2*c*x^2)^(3/2)/Sqrt[ArcTan[a*x]], x]/(10*a)}
public void test02733() {
	check("Integrate[x*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]], x]", "((c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]])/(5*a^2*c) - Unintegrable[(c + a^2*c*x^2)^(3/2)/Sqrt[ArcTan[a*x]], x]/(10*a)");

}

// {x*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]], x, 1, ((c + a^2*c*x^2)^(7/2)*Sqrt[ArcTan[a*x]])/(7*a^2*c) - Unintegrable[(c + a^2*c*x^2)^(5/2)/Sqrt[ArcTan[a*x]], x]/(14*a)}
public void test02734() {
	check("Integrate[x*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]], x]", "((c + a^2*c*x^2)^(7/2)*Sqrt[ArcTan[a*x]])/(7*a^2*c) - Unintegrable[(c + a^2*c*x^2)^(5/2)/Sqrt[ArcTan[a*x]], x]/(14*a)");

}

// {(x^2*Sqrt[ArcTan[a*x]])/Sqrt[c + a^2*c*x^2], x, 1, (x*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(2*a^2*c) - Unintegrable[x/(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x]/(4*a) - Unintegrable[Sqrt[ArcTan[a*x]]/Sqrt[c + a^2*c*x^2], x]/(2*a^2)}
public void test02735() {
	check("Integrate[(x^2*Sqrt[ArcTan[a*x]])/Sqrt[c + a^2*c*x^2], x]", "(x*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(2*a^2*c) - Unintegrable[x/(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x]/(4*a) - Unintegrable[Sqrt[ArcTan[a*x]]/Sqrt[c + a^2*c*x^2], x]/(2*a^2)");

}

// {(x*Sqrt[ArcTan[a*x]])/Sqrt[c + a^2*c*x^2], x, 1, (Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(a^2*c) - Unintegrable[1/(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x]/(2*a)}
public void test02736() {
	check("Integrate[(x*Sqrt[ArcTan[a*x]])/Sqrt[c + a^2*c*x^2], x]", "(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(a^2*c) - Unintegrable[1/(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x]/(2*a)");

}

// {Sqrt[ArcTan[a*x]]/(x^2*Sqrt[c + a^2*c*x^2]), x, 1, -((Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(c*x)) + (a*Unintegrable[1/(x*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/2}
public void test02737() {
	check("Integrate[Sqrt[ArcTan[a*x]]/(x^2*Sqrt[c + a^2*c*x^2]), x]", "-((Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(c*x)) + (a*Unintegrable[1/(x*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/2");

}

// {Sqrt[ArcTan[a*x]]/(x^3*Sqrt[c + a^2*c*x^2]), x, 1, -(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(2*c*x^2) + (a*Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/4 - (a^2*Unintegrable[Sqrt[ArcTan[a*x]]/(x*Sqrt[c + a^2*c*x^2]), x])/2}
public void test02738() {
	check("Integrate[Sqrt[ArcTan[a*x]]/(x^3*Sqrt[c + a^2*c*x^2]), x]", "-(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(2*c*x^2) + (a*Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/4 - (a^2*Unintegrable[Sqrt[ArcTan[a*x]]/(x*Sqrt[c + a^2*c*x^2]), x])/2");

}

// {x*(c + a^2*c*x^2)*ArcTan[a*x]^(3/2), x, 1, (c*(1 + a^2*x^2)^2*ArcTan[a*x]^(3/2))/(4*a^2) - (3*Unintegrable[(c + a^2*c*x^2)*Sqrt[ArcTan[a*x]], x])/(8*a)}
public void test02739() {
	check("Integrate[x*(c + a^2*c*x^2)*ArcTan[a*x]^(3/2), x]", "(c*(1 + a^2*x^2)^2*ArcTan[a*x]^(3/2))/(4*a^2) - (3*Unintegrable[(c + a^2*c*x^2)*Sqrt[ArcTan[a*x]], x])/(8*a)");

}

// {(c + a^2*c*x^2)*ArcTan[a*x]^(3/2), x, 1, -(c*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]])/(4*a) + (c*x*(1 + a^2*x^2)*ArcTan[a*x]^(3/2))/3 + (c*Unintegrable[1/Sqrt[ArcTan[a*x]], x])/8 + (2*c*Unintegrable[ArcTan[a*x]^(3/2), x])/3}
public void test02740() {
	check("Integrate[(c + a^2*c*x^2)*ArcTan[a*x]^(3/2), x]", "-(c*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]])/(4*a) + (c*x*(1 + a^2*x^2)*ArcTan[a*x]^(3/2))/3 + (c*Unintegrable[1/Sqrt[ArcTan[a*x]], x])/8 + (2*c*Unintegrable[ArcTan[a*x]^(3/2), x])/3");

}

// {x*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2), x, 1, (c^2*(1 + a^2*x^2)^3*ArcTan[a*x]^(3/2))/(6*a^2) - Unintegrable[(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]], x]/(4*a)}
public void test02741() {
	check("Integrate[x*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2), x]", "(c^2*(1 + a^2*x^2)^3*ArcTan[a*x]^(3/2))/(6*a^2) - Unintegrable[(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]], x]/(4*a)");

}

// {x*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2), x, 1, (c^3*(1 + a^2*x^2)^4*ArcTan[a*x]^(3/2))/(8*a^2) - (3*Unintegrable[(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]], x])/(16*a)}
public void test02742() {
	check("Integrate[x*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2), x]", "(c^3*(1 + a^2*x^2)^4*ArcTan[a*x]^(3/2))/(8*a^2) - (3*Unintegrable[(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]], x])/(16*a)");

}

// {(x*ArcTan[a*x]^(3/2))/(c + a^2*c*x^2), x, 1, (2*x*ArcTan[a*x]^(5/2))/(5*a*c) - (2*Unintegrable[ArcTan[a*x]^(5/2), x])/(5*a*c)}
public void test02743() {
	check("Integrate[(x*ArcTan[a*x]^(3/2))/(c + a^2*c*x^2), x]", "(2*x*ArcTan[a*x]^(5/2))/(5*a*c) - (2*Unintegrable[ArcTan[a*x]^(5/2), x])/(5*a*c)");

}

// {ArcTan[a*x]^(3/2)/(c + a^2*c*x^2), x, 1, (2*ArcTan[a*x]^(5/2))/(5*a*c)}
public void test02744() {
	check("Integrate[ArcTan[a*x]^(3/2)/(c + a^2*c*x^2), x]", "(2*ArcTan[a*x]^(5/2))/(5*a*c)");

}

// {ArcTan[a*x]^(3/2)/(x*(c + a^2*c*x^2)), x, 1, (((-2*I)/5)*ArcTan[a*x]^(5/2))/c + (I*Unintegrable[ArcTan[a*x]^(3/2)/(x*(I + a*x)), x])/c}
public void test02745() {
	check("Integrate[ArcTan[a*x]^(3/2)/(x*(c + a^2*c*x^2)), x]", "(((-2*I)/5)*ArcTan[a*x]^(5/2))/c + (I*Unintegrable[ArcTan[a*x]^(3/2)/(x*(I + a*x)), x])/c");

}

// {x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2), x, 1, ((c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2))/(3*a^2*c) - Unintegrable[Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]], x]/(2*a)}
public void test02746() {
	check("Integrate[x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2), x]", "((c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2))/(3*a^2*c) - Unintegrable[Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]], x]/(2*a)");

}

// {Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2), x, 1, (-3*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(4*a) + (x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/2 + (3*c*Unintegrable[1/(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/8 + (c*Unintegrable[ArcTan[a*x]^(3/2)/Sqrt[c + a^2*c*x^2], x])/2}
public void test02747() {
	check("Integrate[Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2), x]", "(-3*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]])/(4*a) + (x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/2 + (3*c*Unintegrable[1/(Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/8 + (c*Unintegrable[ArcTan[a*x]^(3/2)/Sqrt[c + a^2*c*x^2], x])/2");

}

// {x*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2), x, 1, ((c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2))/(5*a^2*c) - (3*Unintegrable[(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]], x])/(10*a)}
public void test02748() {
	check("Integrate[x*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2), x]", "((c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2))/(5*a^2*c) - (3*Unintegrable[(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]], x])/(10*a)");

}

// {x*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2), x, 1, ((c + a^2*c*x^2)^(7/2)*ArcTan[a*x]^(3/2))/(7*a^2*c) - (3*Unintegrable[(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]], x])/(14*a)}
public void test02749() {
	check("Integrate[x*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2), x]", "((c + a^2*c*x^2)^(7/2)*ArcTan[a*x]^(3/2))/(7*a^2*c) - (3*Unintegrable[(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]], x])/(14*a)");

}

// {(x*ArcTan[a*x]^(3/2))/Sqrt[c + a^2*c*x^2], x, 1, (Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/(a^2*c) - (3*Unintegrable[Sqrt[ArcTan[a*x]]/Sqrt[c + a^2*c*x^2], x])/(2*a)}
public void test02750() {
	check("Integrate[(x*ArcTan[a*x]^(3/2))/Sqrt[c + a^2*c*x^2], x]", "(Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/(a^2*c) - (3*Unintegrable[Sqrt[ArcTan[a*x]]/Sqrt[c + a^2*c*x^2], x])/(2*a)");

}

// {ArcTan[a*x]^(3/2)/(x^2*Sqrt[c + a^2*c*x^2]), x, 1, -((Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/(c*x)) + (3*a*Unintegrable[Sqrt[ArcTan[a*x]]/(x*Sqrt[c + a^2*c*x^2]), x])/2}
public void test02751() {
	check("Integrate[ArcTan[a*x]^(3/2)/(x^2*Sqrt[c + a^2*c*x^2]), x]", "-((Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/(c*x)) + (3*a*Unintegrable[Sqrt[ArcTan[a*x]]/(x*Sqrt[c + a^2*c*x^2]), x])/2");

}

// {(c + a^2*c*x^2)*ArcTan[a*x]^(5/2), x, 1, (-5*c*(1 + a^2*x^2)*ArcTan[a*x]^(3/2))/(12*a) + (c*x*(1 + a^2*x^2)*ArcTan[a*x]^(5/2))/3 + (5*c*Unintegrable[Sqrt[ArcTan[a*x]], x])/8 + (2*c*Unintegrable[ArcTan[a*x]^(5/2), x])/3}
public void test02752() {
	check("Integrate[(c + a^2*c*x^2)*ArcTan[a*x]^(5/2), x]", "(-5*c*(1 + a^2*x^2)*ArcTan[a*x]^(3/2))/(12*a) + (c*x*(1 + a^2*x^2)*ArcTan[a*x]^(5/2))/3 + (5*c*Unintegrable[Sqrt[ArcTan[a*x]], x])/8 + (2*c*Unintegrable[ArcTan[a*x]^(5/2), x])/3");

}

// {(x*ArcTan[a*x]^(5/2))/(c + a^2*c*x^2), x, 1, (2*x*ArcTan[a*x]^(7/2))/(7*a*c) - (2*Unintegrable[ArcTan[a*x]^(7/2), x])/(7*a*c)}
public void test02753() {
	check("Integrate[(x*ArcTan[a*x]^(5/2))/(c + a^2*c*x^2), x]", "(2*x*ArcTan[a*x]^(7/2))/(7*a*c) - (2*Unintegrable[ArcTan[a*x]^(7/2), x])/(7*a*c)");

}

// {ArcTan[a*x]^(5/2)/(c + a^2*c*x^2), x, 1, (2*ArcTan[a*x]^(7/2))/(7*a*c)}
public void test02754() {
	check("Integrate[ArcTan[a*x]^(5/2)/(c + a^2*c*x^2), x]", "(2*ArcTan[a*x]^(7/2))/(7*a*c)");

}

// {ArcTan[a*x]^(5/2)/(x*(c + a^2*c*x^2)), x, 1, (((-2*I)/7)*ArcTan[a*x]^(7/2))/c + (I*Unintegrable[ArcTan[a*x]^(5/2)/(x*(I + a*x)), x])/c}
public void test02755() {
	check("Integrate[ArcTan[a*x]^(5/2)/(x*(c + a^2*c*x^2)), x]", "(((-2*I)/7)*ArcTan[a*x]^(7/2))/c + (I*Unintegrable[ArcTan[a*x]^(5/2)/(x*(I + a*x)), x])/c");

}

// {Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2), x, 1, (-5*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/(4*a) + (x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2))/2 + (15*c*Unintegrable[Sqrt[ArcTan[a*x]]/Sqrt[c + a^2*c*x^2], x])/8 + (c*Unintegrable[ArcTan[a*x]^(5/2)/Sqrt[c + a^2*c*x^2], x])/2}
public void test02756() {
	check("Integrate[Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2), x]", "(-5*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2))/(4*a) + (x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2))/2 + (15*c*Unintegrable[Sqrt[ArcTan[a*x]]/Sqrt[c + a^2*c*x^2], x])/8 + (c*Unintegrable[ArcTan[a*x]^(5/2)/Sqrt[c + a^2*c*x^2], x])/2");

}

// {(x*ArcTan[a*x]^(5/2))/Sqrt[c + a^2*c*x^2], x, 1, (Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2))/(a^2*c) - (5*Unintegrable[ArcTan[a*x]^(3/2)/Sqrt[c + a^2*c*x^2], x])/(2*a)}
public void test02757() {
	check("Integrate[(x*ArcTan[a*x]^(5/2))/Sqrt[c + a^2*c*x^2], x]", "(Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2))/(a^2*c) - (5*Unintegrable[ArcTan[a*x]^(3/2)/Sqrt[c + a^2*c*x^2], x])/(2*a)");

}

// {ArcTan[a*x]^(5/2)/(x^2*Sqrt[c + a^2*c*x^2]), x, 1, -((Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2))/(c*x)) + (5*a*Unintegrable[ArcTan[a*x]^(3/2)/(x*Sqrt[c + a^2*c*x^2]), x])/2}
public void test02758() {
	check("Integrate[ArcTan[a*x]^(5/2)/(x^2*Sqrt[c + a^2*c*x^2]), x]", "-((Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2))/(c*x)) + (5*a*Unintegrable[ArcTan[a*x]^(3/2)/(x*Sqrt[c + a^2*c*x^2]), x])/2");

}

// {x/((c + a^2*c*x^2)*Sqrt[ArcTan[a*x]]), x, 1, (2*x*Sqrt[ArcTan[a*x]])/(a*c) - (2*Unintegrable[Sqrt[ArcTan[a*x]], x])/(a*c)}
public void test02759() {
	check("Integrate[x/((c + a^2*c*x^2)*Sqrt[ArcTan[a*x]]), x]", "(2*x*Sqrt[ArcTan[a*x]])/(a*c) - (2*Unintegrable[Sqrt[ArcTan[a*x]], x])/(a*c)");

}

// {1/((c + a^2*c*x^2)*Sqrt[ArcTan[a*x]]), x, 1, (2*Sqrt[ArcTan[a*x]])/(a*c)}
public void test02760() {
	check("Integrate[1/((c + a^2*c*x^2)*Sqrt[ArcTan[a*x]]), x]", "(2*Sqrt[ArcTan[a*x]])/(a*c)");

}

// {x^m/((c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x, 1, (-2*x^m)/(a*c*Sqrt[ArcTan[a*x]]) + (2*m*Unintegrable[x^(-1 + m)/Sqrt[ArcTan[a*x]], x])/(a*c)}
public void test02761() {
	check("Integrate[x^m/((c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x]", "(-2*x^m)/(a*c*Sqrt[ArcTan[a*x]]) + (2*m*Unintegrable[x^(-1 + m)/Sqrt[ArcTan[a*x]], x])/(a*c)");

}

// {x/((c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x, 1, (-2*x)/(a*c*Sqrt[ArcTan[a*x]]) + (2*Unintegrable[1/Sqrt[ArcTan[a*x]], x])/(a*c)}
public void test02762() {
	check("Integrate[x/((c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x]", "(-2*x)/(a*c*Sqrt[ArcTan[a*x]]) + (2*Unintegrable[1/Sqrt[ArcTan[a*x]], x])/(a*c)");

}

// {1/((c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*Sqrt[ArcTan[a*x]])}
public void test02763() {
	check("Integrate[1/((c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*Sqrt[ArcTan[a*x]])");

}

// {1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x*Sqrt[ArcTan[a*x]]) - (2*Unintegrable[1/(x^2*Sqrt[ArcTan[a*x]]), x])/(a*c)}
public void test02764() {
	check("Integrate[1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x*Sqrt[ArcTan[a*x]]) - (2*Unintegrable[1/(x^2*Sqrt[ArcTan[a*x]]), x])/(a*c)");

}

// {x^4/((c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x, 1, (-2*x^4)/(a*c^2*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) + (8*Unintegrable[x^3/((c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a + 4*a*Unintegrable[x^5/((c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]}
public void test02765() {
	check("Integrate[x^4/((c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x]", "(-2*x^4)/(a*c^2*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) + (8*Unintegrable[x^3/((c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a + 4*a*Unintegrable[x^5/((c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^2*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c^2*x^2*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a - 8*a*Unintegrable[1/(x*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]}
public void test02766() {
	check("Integrate[1/(x^2*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x]", "-2/(a*c^2*x^2*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a - 8*a*Unintegrable[1/(x*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^3*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c^2*x^3*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a - 10*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]}
public void test02767() {
	check("Integrate[1/(x^3*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x]", "-2/(a*c^2*x^3*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a - 10*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^4*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c^2*x^4*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a - 12*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]}
public void test02768() {
	check("Integrate[1/(x^4*(c + a^2*c*x^2)^2*ArcTan[a*x]^(3/2)), x]", "-2/(a*c^2*x^4*(1 + a^2*x^2)*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x])/a - 12*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^2*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^2*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c^3*x^2*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x])/a - 12*a*Unintegrable[1/(x*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x]}
public void test02769() {
	check("Integrate[1/(x^2*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2)), x]", "-2/(a*c^3*x^2*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x])/a - 12*a*Unintegrable[1/(x*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^3*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c^3*x^3*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x])/a - 14*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x]}
public void test02770() {
	check("Integrate[1/(x^3*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2)), x]", "-2/(a*c^3*x^3*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x])/a - 14*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^4*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c^3*x^4*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x])/a - 16*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x]}
public void test02771() {
	check("Integrate[1/(x^4*(c + a^2*c*x^2)^3*ArcTan[a*x]^(3/2)), x]", "-2/(a*c^3*x^4*(1 + a^2*x^2)^2*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x])/a - 16*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^3*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2)), x, 1, (-2*Sqrt[c + a^2*c*x^2])/(a*c*x*Sqrt[ArcTan[a*x]]) - (2*Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/a}
public void test02772() {
	check("Integrate[1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2)), x]", "(-2*Sqrt[c + a^2*c*x^2])/(a*c*x*Sqrt[ArcTan[a*x]]) - (2*Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]), x])/a");

}

// {x^3/((c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x, 1, (-2*x^3)/(a*c*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) + (6*Unintegrable[x^2/((c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a + 4*a*Unintegrable[x^4/((c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02773() {
	check("Integrate[x^3/((c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x]", "(-2*x^3)/(a*c*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) + (6*Unintegrable[x^2/((c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a + 4*a*Unintegrable[x^4/((c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^2*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x^2*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a - 6*a*Unintegrable[1/(x*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02774() {
	check("Integrate[1/(x^2*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x^2*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a - 6*a*Unintegrable[1/(x*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^3*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x^3*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a - 8*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02775() {
	check("Integrate[1/(x^3*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x^3*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a - 8*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^4*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x^4*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a - 10*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02776() {
	check("Integrate[1/(x^4*(c + a^2*c*x^2)^(3/2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x^4*Sqrt[c + a^2*c*x^2]*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x])/a - 10*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^2*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x^2*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x])/a - 10*a*Unintegrable[1/(x*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02777() {
	check("Integrate[1/(x^2*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x^2*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]) - (4*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x])/a - 10*a*Unintegrable[1/(x*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^3*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x^3*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x])/a - 12*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02778() {
	check("Integrate[1/(x^3*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x^3*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]) - (6*Unintegrable[1/(x^4*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x])/a - 12*a*Unintegrable[1/(x^2*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {1/(x^4*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2)), x, 1, -2/(a*c*x^4*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x])/a - 14*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x]}
public void test02779() {
	check("Integrate[1/(x^4*(c + a^2*c*x^2)^(5/2)*ArcTan[a*x]^(3/2)), x]", "-2/(a*c*x^4*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcTan[a*x]]) - (8*Unintegrable[1/(x^5*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x])/a - 14*a*Unintegrable[1/(x^3*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcTan[a*x]]), x]");

}

// {x^m/((c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x, 1, (-2*x^m)/(3*a*c*ArcTan[a*x]^(3/2)) + (2*m*Unintegrable[x^(-1 + m)/ArcTan[a*x]^(3/2), x])/(3*a*c)}
public void test02780() {
	check("Integrate[x^m/((c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x]", "(-2*x^m)/(3*a*c*ArcTan[a*x]^(3/2)) + (2*m*Unintegrable[x^(-1 + m)/ArcTan[a*x]^(3/2), x])/(3*a*c)");

}

// {x/((c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x, 1, (-2*x)/(3*a*c*ArcTan[a*x]^(3/2)) + (2*Unintegrable[ArcTan[a*x]^(-3/2), x])/(3*a*c)}
public void test02781() {
	check("Integrate[x/((c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x]", "(-2*x)/(3*a*c*ArcTan[a*x]^(3/2)) + (2*Unintegrable[ArcTan[a*x]^(-3/2), x])/(3*a*c)");

}

// {1/((c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x, 1, -2/(3*a*c*ArcTan[a*x]^(3/2))}
public void test02782() {
	check("Integrate[1/((c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x]", "-2/(3*a*c*ArcTan[a*x]^(3/2))");

}

// {1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x, 1, -2/(3*a*c*x*ArcTan[a*x]^(3/2)) - (2*Unintegrable[1/(x^2*ArcTan[a*x]^(3/2)), x])/(3*a*c)}
public void test02783() {
	check("Integrate[1/(x*(c + a^2*c*x^2)*ArcTan[a*x]^(5/2)), x]", "-2/(3*a*c*x*ArcTan[a*x]^(3/2)) - (2*Unintegrable[1/(x^2*ArcTan[a*x]^(3/2)), x])/(3*a*c)");

}

// {1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2)), x, 1, (-2*Sqrt[c + a^2*c*x^2])/(3*a*c*x*ArcTan[a*x]^(3/2)) - (2*Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2)), x])/(3*a)}
public void test02784() {
	check("Integrate[1/(x*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(5/2)), x]", "(-2*Sqrt[c + a^2*c*x^2])/(3*a*c*x*ArcTan[a*x]^(3/2)) - (2*Unintegrable[1/(x^2*Sqrt[c + a^2*c*x^2]*ArcTan[a*x]^(3/2)), x])/(3*a)");

}

// {(x*ArcTan[a*x]^n)/(c + a^2*c*x^2), x, 1, (x*ArcTan[a*x]^(1 + n))/(a*c*(1 + n)) - Unintegrable[ArcTan[a*x]^(1 + n), x]/(a*c*(1 + n))}
public void test02785() {
	check("Integrate[(x*ArcTan[a*x]^n)/(c + a^2*c*x^2), x]", "(x*ArcTan[a*x]^(1 + n))/(a*c*(1 + n)) - Unintegrable[ArcTan[a*x]^(1 + n), x]/(a*c*(1 + n))");

}

// {ArcTan[a*x]^n/(c + a^2*c*x^2), x, 1, ArcTan[a*x]^(1 + n)/(a*c*(1 + n))}
public void test02786() {
	check("Integrate[ArcTan[a*x]^n/(c + a^2*c*x^2), x]", "ArcTan[a*x]^(1 + n)/(a*c*(1 + n))");

}

// {(e + f*x)^m*(a + b*ArcTan[c + d*x])^2, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcTan[c + d*x])^2, x]}
public void test02787() {
	check("Integrate[(e + f*x)^m*(a + b*ArcTan[c + d*x])^2, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcTan[c + d*x])^2, x]");

}

// {(e + f*x)^m*(a + b*ArcTan[c + d*x])^3, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcTan[c + d*x])^3, x]}
public void test02788() {
	check("Integrate[(e + f*x)^m*(a + b*ArcTan[c + d*x])^3, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcTan[c + d*x])^3, x]");

}

// {ArcTan[a + b*x]/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x, 1, Unintegrable[ArcTan[a + b*x]/(1 + (a + b*x)^2)^(1/3), x]}
public void test02789() {
	check("Integrate[ArcTan[a + b*x]/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x]", "Unintegrable[ArcTan[a + b*x]/(1 + (a + b*x)^2)^(1/3), x]");

}

// {ArcTan[a + b*x]/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x, 1, Unintegrable[ArcTan[a + b*x]/(c + c*(a + b*x)^2)^(1/3), x]}
public void test02790() {
	check("Integrate[ArcTan[a + b*x]/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x]", "Unintegrable[ArcTan[a + b*x]/(c + c*(a + b*x)^2)^(1/3), x]");

}

// {((a + b*x)^2*ArcTan[a + b*x])/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x, 1, Unintegrable[((a + b*x)^2*ArcTan[a + b*x])/(1 + (a + b*x)^2)^(1/3), x]}
public void test02791() {
	check("Integrate[((a + b*x)^2*ArcTan[a + b*x])/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x]", "Unintegrable[((a + b*x)^2*ArcTan[a + b*x])/(1 + (a + b*x)^2)^(1/3), x]");

}

// {((a + b*x)^2*ArcTan[a + b*x])/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x, 1, Unintegrable[((a + b*x)^2*ArcTan[a + b*x])/(c + c*(a + b*x)^2)^(1/3), x]}
public void test02792() {
	check("Integrate[((a + b*x)^2*ArcTan[a + b*x])/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x]", "Unintegrable[((a + b*x)^2*ArcTan[a + b*x])/(c + c*(a + b*x)^2)^(1/3), x]");

}

// {1/((1 + x^2)*(2 + ArcTan[x])), x, 1, Log[2 + ArcTan[x]]}
public void test02793() {
	check("Integrate[1/((1 + x^2)*(2 + ArcTan[x])), x]", "Log[2 + ArcTan[x]]");

}

// {1/((a + a*x^2)*(b - 2*b*ArcTan[x])), x, 1, -Log[1 - 2*ArcTan[x]]/(2*a*b)}
public void test02794() {
	check("Integrate[1/((a + a*x^2)*(b - 2*b*ArcTan[x])), x]", "-Log[1 - 2*ArcTan[x]]/(2*a*b)");

}

// {E^ArcTan[a*x]/(c + a^2*c*x^2), x, 1, E^ArcTan[a*x]/(a*c)}
public void test02795() {
	check("Integrate[E^ArcTan[a*x]/(c + a^2*c*x^2), x]", "E^ArcTan[a*x]/(a*c)");

}

// {E^ArcTan[a*x]/(c + a^2*c*x^2)^(3/2), x, 1, (E^ArcTan[a*x]*(1 + a*x))/(2*a*c*Sqrt[c + a^2*c*x^2])}
public void test02796() {
	check("Integrate[E^ArcTan[a*x]/(c + a^2*c*x^2)^(3/2), x]", "(E^ArcTan[a*x]*(1 + a*x))/(2*a*c*Sqrt[c + a^2*c*x^2])");

}

// {E^(2*ArcTan[a*x])/(c + a^2*c*x^2), x, 1, E^(2*ArcTan[a*x])/(2*a*c)}
public void test02797() {
	check("Integrate[E^(2*ArcTan[a*x])/(c + a^2*c*x^2), x]", "E^(2*ArcTan[a*x])/(2*a*c)");

}

// {E^(2*ArcTan[a*x])/(c + a^2*c*x^2)^(3/2), x, 1, (E^(2*ArcTan[a*x])*(2 + a*x))/(5*a*c*Sqrt[c + a^2*c*x^2])}
public void test02798() {
	check("Integrate[E^(2*ArcTan[a*x])/(c + a^2*c*x^2)^(3/2), x]", "(E^(2*ArcTan[a*x])*(2 + a*x))/(5*a*c*Sqrt[c + a^2*c*x^2])");

}

// {1/(E^ArcTan[a*x]*(c + a^2*c*x^2)), x, 1, -(1/(a*c*E^ArcTan[a*x]))}
public void test02799() {
	check("Integrate[1/(E^ArcTan[a*x]*(c + a^2*c*x^2)), x]", "-(1/(a*c*E^ArcTan[a*x]))");

}

// {1/(E^ArcTan[a*x]*(c + a^2*c*x^2)^(3/2)), x, 1, -(1 - a*x)/(2*a*c*E^ArcTan[a*x]*Sqrt[c + a^2*c*x^2])}
public void test02800() {
	check("Integrate[1/(E^ArcTan[a*x]*(c + a^2*c*x^2)^(3/2)), x]", "-(1 - a*x)/(2*a*c*E^ArcTan[a*x]*Sqrt[c + a^2*c*x^2])");

}

// {1/(E^(2*ArcTan[a*x])*(c + a^2*c*x^2)), x, 1, -1/(2*a*c*E^(2*ArcTan[a*x]))}
public void test02801() {
	check("Integrate[1/(E^(2*ArcTan[a*x])*(c + a^2*c*x^2)), x]", "-1/(2*a*c*E^(2*ArcTan[a*x]))");

}

// {1/(E^(2*ArcTan[a*x])*(c + a^2*c*x^2)^(3/2)), x, 1, -(2 - a*x)/(5*a*c*E^(2*ArcTan[a*x])*Sqrt[c + a^2*c*x^2])}
public void test02802() {
	check("Integrate[1/(E^(2*ArcTan[a*x])*(c + a^2*c*x^2)^(3/2)), x]", "-(2 - a*x)/(5*a*c*E^(2*ArcTan[a*x])*Sqrt[c + a^2*c*x^2])");

}

// {E^(n*ArcTan[a*x])/(c + a^2*c*x^2), x, 1, E^(n*ArcTan[a*x])/(a*c*n)}
public void test02803() {
	check("Integrate[E^(n*ArcTan[a*x])/(c + a^2*c*x^2), x]", "E^(n*ArcTan[a*x])/(a*c*n)");

}

// {E^(I*n*ArcTan[a*x])*x^2*(c + a^2*c*x^2)^(-1 - n^2/2), x, 1, (I*E^(I*n*ArcTan[a*x])*(1 - I*a*n*x))/(a^3*c*n*(1 - n^2)*(c + a^2*c*x^2)^(n^2/2))}
public void test02804() {
	check("Integrate[E^(I*n*ArcTan[a*x])*x^2*(c + a^2*c*x^2)^(-1 - n^2/2), x]", "(I*E^(I*n*ArcTan[a*x])*(1 - I*a*n*x))/(a^3*c*n*(1 - n^2)*(c + a^2*c*x^2)^(n^2/2))");

}

// {ArcCot[x]/(1 + x^2), x, 1, -ArcCot[x]^2/2}
public void test02805() {
	check("Integrate[ArcCot[x]/(1 + x^2), x]", "-ArcCot[x]^2/2");

}

// {1/((1 + x^2)*ArcCot[x]), x, 1, -Log[ArcCot[x]]}
public void test02806() {
	check("Integrate[1/((1 + x^2)*ArcCot[x]), x]", "-Log[ArcCot[x]]");

}

// {ArcCot[x]^n/(1 + x^2), x, 1, -(ArcCot[x]^(1 + n)/(1 + n))}
public void test02807() {
	check("Integrate[ArcCot[x]^n/(1 + x^2), x]", "-(ArcCot[x]^(1 + n)/(1 + n))");

}

// {ArcCot[x]/(a + a*x^2)^(3/2), x, 1, -(1/(a*Sqrt[a + a*x^2])) + (x*ArcCot[x])/(a*Sqrt[a + a*x^2])}
public void test02808() {
	check("Integrate[ArcCot[x]/(a + a*x^2)^(3/2), x]", "-(1/(a*Sqrt[a + a*x^2])) + (x*ArcCot[x])/(a*Sqrt[a + a*x^2])");

}

// {ArcCot[a + b*x]/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x, 1, Unintegrable[ArcCot[a + b*x]/(1 + (a + b*x)^2)^(1/3), x]}
public void test02809() {
	check("Integrate[ArcCot[a + b*x]/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x]", "Unintegrable[ArcCot[a + b*x]/(1 + (a + b*x)^2)^(1/3), x]");

}

// {ArcCot[a + b*x]/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x, 1, Unintegrable[ArcCot[a + b*x]/(c + c*(a + b*x)^2)^(1/3), x]}
public void test02810() {
	check("Integrate[ArcCot[a + b*x]/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x]", "Unintegrable[ArcCot[a + b*x]/(c + c*(a + b*x)^2)^(1/3), x]");

}

// {((a + b*x)^2*ArcCot[a + b*x])/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x, 1, Unintegrable[((a + b*x)^2*ArcCot[a + b*x])/(1 + (a + b*x)^2)^(1/3), x]}
public void test02811() {
	check("Integrate[((a + b*x)^2*ArcCot[a + b*x])/(1 + a^2 + 2*a*b*x + b^2*x^2)^(1/3), x]", "Unintegrable[((a + b*x)^2*ArcCot[a + b*x])/(1 + (a + b*x)^2)^(1/3), x]");

}

// {((a + b*x)^2*ArcCot[a + b*x])/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x, 1, Unintegrable[((a + b*x)^2*ArcCot[a + b*x])/(c + c*(a + b*x)^2)^(1/3), x]}
public void test02812() {
	check("Integrate[((a + b*x)^2*ArcCot[a + b*x])/((1 + a^2)*c + 2*a*b*c*x + b^2*c*x^2)^(1/3), x]", "Unintegrable[((a + b*x)^2*ArcCot[a + b*x])/(c + c*(a + b*x)^2)^(1/3), x]");

}

// {(e + f*x)^m*(a + b*ArcCot[c + d*x])^2, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcCot[c + d*x])^2, x]}
public void test02813() {
	check("Integrate[(e + f*x)^m*(a + b*ArcCot[c + d*x])^2, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcCot[c + d*x])^2, x]");

}

// {(e + f*x)^m*(a + b*ArcCot[c + d*x])^3, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcCot[c + d*x])^3, x]}
public void test02814() {
	check("Integrate[(e + f*x)^m*(a + b*ArcCot[c + d*x])^3, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcCot[c + d*x])^3, x]");

}

// {1/((a + a*x^2)*(b - 2*b*ArcCot[x])), x, 1, Log[1 - 2*ArcCot[x]]/(2*a*b)}
public void test02815() {
	check("Integrate[1/((a + a*x^2)*(b - 2*b*ArcCot[x])), x]", "Log[1 - 2*ArcCot[x]]/(2*a*b)");

}

// {E^ArcCot[x]/(a + a*x^2), x, 1, -(E^ArcCot[x]/a)}
public void test02816() {
	check("Integrate[E^ArcCot[x]/(a + a*x^2), x]", "-(E^ArcCot[x]/a)");

}

// {E^ArcCot[x]/(a + a*x^2)^(3/2), x, 1, -(E^ArcCot[x]*(1 - x))/(2*a*Sqrt[a + a*x^2])}
public void test02817() {
	check("Integrate[E^ArcCot[x]/(a + a*x^2)^(3/2), x]", "-(E^ArcCot[x]*(1 - x))/(2*a*Sqrt[a + a*x^2])");

}

// {Sinh[x]^(3/2)/x^3, x, 1, (-3*Cosh[x]*Sqrt[Sinh[x]])/(4*x) - Sinh[x]^(3/2)/(2*x^2) + (3*Unintegrable[1/(x*Sqrt[Sinh[x]]), x])/8 + (9*Unintegrable[Sinh[x]^(3/2)/x, x])/8}
public void test02818() {
	check("Integrate[Sinh[x]^(3/2)/x^3, x]", "(-3*Cosh[x]*Sqrt[Sinh[x]])/(4*x) - Sinh[x]^(3/2)/(2*x^2) + (3*Unintegrable[1/(x*Sqrt[Sinh[x]]), x])/8 + (9*Unintegrable[Sinh[x]^(3/2)/x, x])/8");

}

// {(e*x)^m*Csch[a + b*x^2], x, 1, ((e*x)^m*Unintegrable[x^m*Csch[a + b*x^2], x])/x^m}
public void test02819() {
	check("Integrate[(e*x)^m*Csch[a + b*x^2], x]", "((e*x)^m*Unintegrable[x^m*Csch[a + b*x^2], x])/x^m");

}

// {(e*x)^m*Csch[a + b/x], x, 1, ((e*x)^m*Unintegrable[x^m*Csch[a + b/x], x])/x^m}
public void test02820() {
	check("Integrate[(e*x)^m*Csch[a + b/x], x]", "((e*x)^m*Unintegrable[x^m*Csch[a + b/x], x])/x^m");

}

// {(e*x)^m*Csch[a + b/x^2], x, 1, ((e*x)^m*Unintegrable[x^m*Csch[a + b/x^2], x])/x^m}
public void test02821() {
	check("Integrate[(e*x)^m*Csch[a + b/x^2], x]", "((e*x)^m*Unintegrable[x^m*Csch[a + b/x^2], x])/x^m");

}

// {(e*x)^(-1 + 2*n)*(b*Sinh[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Sinh[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02822() {
	check("Integrate[(e*x)^(-1 + 2*n)*(b*Sinh[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Sinh[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {(e*x)^(-1 + 2*n)*(a + b*Sinh[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Sinh[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02823() {
	check("Integrate[(e*x)^(-1 + 2*n)*(a + b*Sinh[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Sinh[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {(e*x)^m*Csch[a + b*x^n]^2, x, 1, ((e*x)^m*Unintegrable[x^m*Csch[a + b*x^n]^2, x])/x^m}
public void test02824() {
	check("Integrate[(e*x)^m*Csch[a + b*x^n]^2, x]", "((e*x)^m*Unintegrable[x^m*Csch[a + b*x^n]^2, x])/x^m");

}

// {Sinh[(a + b*x)^2]/x, x, 1, b*CannotIntegrate[Sinh[(a + b*x)^2]/(b*x), x]}
public void test02825() {
	check("Integrate[Sinh[(a + b*x)^2]/x, x]", "b*CannotIntegrate[Sinh[(a + b*x)^2]/(b*x), x]");

}

// {Sinh[a + b*x], x, 1, Cosh[a + b*x]/b}
public void test02826() {
	check("Integrate[Sinh[a + b*x], x]", "Cosh[a + b*x]/b");

}

// {Sqrt[I*Sinh[c + d*x]], x, 1, ((-2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/d}
public void test02827() {
	check("Integrate[Sqrt[I*Sinh[c + d*x]], x]", "((-2*I)*EllipticE[(I*c - Pi/2 + I*d*x)/2, 2])/d");

}

// {1/Sqrt[I*Sinh[c + d*x]], x, 1, ((-2*I)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2])/d}
public void test02828() {
	check("Integrate[1/Sqrt[I*Sinh[c + d*x]], x]", "((-2*I)*EllipticF[(I*c - Pi/2 + I*d*x)/2, 2])/d");

}

// {(b*Sinh[c + d*x])^(4/3), x, 1, (3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 7/6, 13/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(7/3))/(7*b*d*Sqrt[Cosh[c + d*x]^2])}
public void test02829() {
	check("Integrate[(b*Sinh[c + d*x])^(4/3), x]", "(3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 7/6, 13/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(7/3))/(7*b*d*Sqrt[Cosh[c + d*x]^2])");

}

// {(b*Sinh[c + d*x])^(2/3), x, 1, (3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 5/6, 11/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(5/3))/(5*b*d*Sqrt[Cosh[c + d*x]^2])}
public void test02830() {
	check("Integrate[(b*Sinh[c + d*x])^(2/3), x]", "(3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 5/6, 11/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(5/3))/(5*b*d*Sqrt[Cosh[c + d*x]^2])");

}

// {(b*Sinh[c + d*x])^(1/3), x, 1, (3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 2/3, 5/3, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(4/3))/(4*b*d*Sqrt[Cosh[c + d*x]^2])}
public void test02831() {
	check("Integrate[(b*Sinh[c + d*x])^(1/3), x]", "(3*Cosh[c + d*x]*Hypergeometric2F1[1/2, 2/3, 5/3, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(4/3))/(4*b*d*Sqrt[Cosh[c + d*x]^2])");

}

// {(b*Sinh[c + d*x])^(-1/3), x, 1, (3*Cosh[c + d*x]*Hypergeometric2F1[1/3, 1/2, 4/3, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(2/3))/(2*b*d*Sqrt[Cosh[c + d*x]^2])}
public void test02832() {
	check("Integrate[(b*Sinh[c + d*x])^(-1/3), x]", "(3*Cosh[c + d*x]*Hypergeometric2F1[1/3, 1/2, 4/3, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(2/3))/(2*b*d*Sqrt[Cosh[c + d*x]^2])");

}

// {(b*Sinh[c + d*x])^(-2/3), x, 1, (3*Cosh[c + d*x]*Hypergeometric2F1[1/6, 1/2, 7/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(1/3))/(b*d*Sqrt[Cosh[c + d*x]^2])}
public void test02833() {
	check("Integrate[(b*Sinh[c + d*x])^(-2/3), x]", "(3*Cosh[c + d*x]*Hypergeometric2F1[1/6, 1/2, 7/6, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(1/3))/(b*d*Sqrt[Cosh[c + d*x]^2])");

}

// {(b*Sinh[c + d*x])^(-4/3), x, 1, (-3*Cosh[c + d*x]*Hypergeometric2F1[-1/6, 1/2, 5/6, -Sinh[c + d*x]^2])/(b*d*Sqrt[Cosh[c + d*x]^2]*(b*Sinh[c + d*x])^(1/3))}
public void test02834() {
	check("Integrate[(b*Sinh[c + d*x])^(-4/3), x]", "(-3*Cosh[c + d*x]*Hypergeometric2F1[-1/6, 1/2, 5/6, -Sinh[c + d*x]^2])/(b*d*Sqrt[Cosh[c + d*x]^2]*(b*Sinh[c + d*x])^(1/3))");

}

// {(b*Sinh[c + d*x])^n, x, 1, (Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(1 + n))/(b*d*(1 + n)*Sqrt[Cosh[c + d*x]^2])}
public void test02835() {
	check("Integrate[(b*Sinh[c + d*x])^n, x]", "(Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*(b*Sinh[c + d*x])^(1 + n))/(b*d*(1 + n)*Sqrt[Cosh[c + d*x]^2])");

}

// {(I*Sinh[c + d*x])^n, x, 1, ((-I)*Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*(I*Sinh[c + d*x])^(1 + n))/(d*(1 + n)*Sqrt[Cosh[c + d*x]^2])}
public void test02836() {
	check("Integrate[(I*Sinh[c + d*x])^n, x]", "((-I)*Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*(I*Sinh[c + d*x])^(1 + n))/(d*(1 + n)*Sqrt[Cosh[c + d*x]^2])");

}

// {((-I)*Sinh[c + d*x])^n, x, 1, (I*Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*((-I)*Sinh[c + d*x])^(1 + n))/(d*(1 + n)*Sqrt[Cosh[c + d*x]^2])}
public void test02837() {
	check("Integrate[((-I)*Sinh[c + d*x])^n, x]", "(I*Cosh[c + d*x]*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, -Sinh[c + d*x]^2]*((-I)*Sinh[c + d*x])^(1 + n))/(d*(1 + n)*Sqrt[Cosh[c + d*x]^2])");

}

// {(1 + I*Sinh[c + d*x])^(-1), x, 1, (I*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x]))}
public void test02838() {
	check("Integrate[(1 + I*Sinh[c + d*x])^(-1), x]", "(I*Cosh[c + d*x])/(d*(1 + I*Sinh[c + d*x]))");

}

// {(1 - I*Sinh[c + d*x])^(-1), x, 1, ((-I)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x]))}
public void test02839() {
	check("Integrate[(1 - I*Sinh[c + d*x])^(-1), x]", "((-I)*Cosh[c + d*x])/(d*(1 - I*Sinh[c + d*x]))");

}

// {Sqrt[a + I*a*Sinh[c + d*x]], x, 1, ((2*I)*a*Cosh[c + d*x])/(d*Sqrt[a + I*a*Sinh[c + d*x]])}
public void test02840() {
	check("Integrate[Sqrt[a + I*a*Sinh[c + d*x]], x]", "((2*I)*a*Cosh[c + d*x])/(d*Sqrt[a + I*a*Sinh[c + d*x]])");

}

// {(5 + (3*I)*Sinh[c + d*x])^(-1), x, 1, x/4 - ((I/2)*ArcTan[Cosh[c + d*x]/(3 + I*Sinh[c + d*x])])/d}
public void test02841() {
	check("Integrate[(5 + (3*I)*Sinh[c + d*x])^(-1), x]", "x/4 - ((I/2)*ArcTan[Cosh[c + d*x]/(3 + I*Sinh[c + d*x])])/d");

}

// {(a + b*Sinh[c + d*x])^2, x, 1, ((2*a^2 - b^2)*x)/2 + (2*a*b*Cosh[c + d*x])/d + (b^2*Cosh[c + d*x]*Sinh[c + d*x])/(2*d)}
public void test02842() {
	check("Integrate[(a + b*Sinh[c + d*x])^2, x]", "((2*a^2 - b^2)*x)/2 + (2*a*b*Cosh[c + d*x])/d + (b^2*Cosh[c + d*x]*Sinh[c + d*x])/(2*d)");

}

// {Cosh[x]^2/(1 + I*Sinh[x])^3, x, 1, ((I/3)*Cosh[x]^3)/(1 + I*Sinh[x])^3}
public void test02843() {
	check("Integrate[Cosh[x]^2/(1 + I*Sinh[x])^3, x]", "((I/3)*Cosh[x]^3)/(1 + I*Sinh[x])^3");

}

// {Cosh[x]^2/(1 - I*Sinh[x])^3, x, 1, ((-I/3)*Cosh[x]^3)/(1 - I*Sinh[x])^3}
public void test02844() {
	check("Integrate[Cosh[x]^2/(1 - I*Sinh[x])^3, x]", "((-I/3)*Cosh[x]^3)/(1 - I*Sinh[x])^3");

}

// {Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, Unintegrable[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]}
public void test02845() {
	check("Integrate[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "Unintegrable[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]");

}

// {Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x, 1, Unintegrable[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]}
public void test02846() {
	check("Integrate[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x]", "Unintegrable[Csch[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]");

}

// {Sinh[a + b*Log[c*x^n]], x, 1, -((b*n*x*Cosh[a + b*Log[c*x^n]])/(1 - b^2*n^2)) + (x*Sinh[a + b*Log[c*x^n]])/(1 - b^2*n^2)}
public void test02847() {
	check("Integrate[Sinh[a + b*Log[c*x^n]], x]", "-((b*n*x*Cosh[a + b*Log[c*x^n]])/(1 - b^2*n^2)) + (x*Sinh[a + b*Log[c*x^n]])/(1 - b^2*n^2)");

}

// {x^m*Sinh[a + b*Log[c*x^n]], x, 1, -((b*n*x^(1 + m)*Cosh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)) + ((1 + m)*x^(1 + m)*Sinh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)}
public void test02848() {
	check("Integrate[x^m*Sinh[a + b*Log[c*x^n]], x]", "-((b*n*x^(1 + m)*Cosh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)) + ((1 + m)*x^(1 + m)*Sinh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)");

}

// {F^(c*(a + b*x))*Sinh[d + e*x], x, 1, (e*F^(c*(a + b*x))*Cosh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)}
public void test02849() {
	check("Integrate[F^(c*(a + b*x))*Sinh[d + e*x], x]", "(e*F^(c*(a + b*x))*Cosh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2) - (b*c*F^(c*(a + b*x))*Log[F]*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)");

}

// {F^(c*(a + b*x))*Csch[d + e*x], x, 1, (-2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[1, (e + b*c*Log[F])/(2*e), (3 + (b*c*Log[F])/e)/2, E^(2*(d + e*x))])/(e + b*c*Log[F])}
public void test02850() {
	check("Integrate[F^(c*(a + b*x))*Csch[d + e*x], x]", "(-2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[1, (e + b*c*Log[F])/(2*e), (3 + (b*c*Log[F])/e)/2, E^(2*(d + e*x))])/(e + b*c*Log[F])");

}

// {F^(c*(a + b*x))*Csch[d + e*x]^2, x, 1, (4*E^(2*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/(2*e), 2 + (b*c*Log[F])/(2*e), E^(2*(d + e*x))])/(2*e + b*c*Log[F])}
public void test02851() {
	check("Integrate[F^(c*(a + b*x))*Csch[d + e*x]^2, x]", "(4*E^(2*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/(2*e), 2 + (b*c*Log[F])/(2*e), E^(2*(d + e*x))])/(2*e + b*c*Log[F])");

}

// {E^x*Sinh[a + b*x], x, 1, -((b*E^x*Cosh[a + b*x])/(1 - b^2)) + (E^x*Sinh[a + b*x])/(1 - b^2)}
public void test02852() {
	check("Integrate[E^x*Sinh[a + b*x], x]", "-((b*E^x*Cosh[a + b*x])/(1 - b^2)) + (E^x*Sinh[a + b*x])/(1 - b^2)");

}

// {(a + b*Sinh[c + d*x]^2)^2, x, 1, ((8*a^2 - 8*a*b + 3*b^2)*x)/8 + ((8*a - 3*b)*b*Cosh[c + d*x]*Sinh[c + d*x])/(8*d) + (b^2*Cosh[c + d*x]*Sinh[c + d*x]^3)/(4*d)}
public void test02853() {
	check("Integrate[(a + b*Sinh[c + d*x]^2)^2, x]", "((8*a^2 - 8*a*b + 3*b^2)*x)/8 + ((8*a - 3*b)*b*Cosh[c + d*x]*Sinh[c + d*x])/(8*d) + (b^2*Cosh[c + d*x]*Sinh[c + d*x]^3)/(4*d)");

}

// {Sqrt[1 - Sinh[x]^2], x, 1, (-I)*EllipticE[I*x, -1]}
public void test02854() {
	check("Integrate[Sqrt[1 - Sinh[x]^2], x]", "(-I)*EllipticE[I*x, -1]");

}

// {1/Sqrt[1 - Sinh[x]^2], x, 1, (-I)*EllipticF[I*x, -1]}
public void test02855() {
	check("Integrate[1/Sqrt[1 - Sinh[x]^2], x]", "(-I)*EllipticF[I*x, -1]");

}

// {Cosh[x]^(3/2)/x^3, x, 1, -Cosh[x]^(3/2)/(2*x^2) - (3*Sqrt[Cosh[x]]*Sinh[x])/(4*x) - (3*Unintegrable[1/(x*Sqrt[Cosh[x]]), x])/8 + (9*Unintegrable[Cosh[x]^(3/2)/x, x])/8}
public void test02856() {
	check("Integrate[Cosh[x]^(3/2)/x^3, x]", "-Cosh[x]^(3/2)/(2*x^2) - (3*Sqrt[Cosh[x]]*Sinh[x])/(4*x) - (3*Unintegrable[1/(x*Sqrt[Cosh[x]]), x])/8 + (9*Unintegrable[Cosh[x]^(3/2)/x, x])/8");

}

// {(e*x)^(-1 + 2*n)*(b*Cosh[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Cosh[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02857() {
	check("Integrate[(e*x)^(-1 + 2*n)*(b*Cosh[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(b*Cosh[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {(e*x)^(-1 + 2*n)*(a + b*Cosh[c + d*x^n])^p, x, 1, ((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Cosh[c + d*x^n])^p, x])/(e*x^(2*n))}
public void test02858() {
	check("Integrate[(e*x)^(-1 + 2*n)*(a + b*Cosh[c + d*x^n])^p, x]", "((e*x)^(2*n)*Unintegrable[x^(-1 + 2*n)*(a + b*Cosh[c + d*x^n])^p, x])/(e*x^(2*n))");

}

// {Cosh[(a + b*x)^2]/x, x, 1, b*CannotIntegrate[Cosh[(a + b*x)^2]/(b*x), x]}
public void test02859() {
	check("Integrate[Cosh[(a + b*x)^2]/x, x]", "b*CannotIntegrate[Cosh[(a + b*x)^2]/(b*x), x]");

}

// {Cosh[a + b*x], x, 1, Sinh[a + b*x]/b}
public void test02860() {
	check("Integrate[Cosh[a + b*x], x]", "Sinh[a + b*x]/b");

}

// {Sqrt[Cosh[a + b*x]], x, 1, ((-2*I)*EllipticE[(I/2)*(a + b*x), 2])/b}
public void test02861() {
	check("Integrate[Sqrt[Cosh[a + b*x]], x]", "((-2*I)*EllipticE[(I/2)*(a + b*x), 2])/b");

}

// {1/Sqrt[Cosh[a + b*x]], x, 1, ((-2*I)*EllipticF[(I/2)*(a + b*x), 2])/b}
public void test02862() {
	check("Integrate[1/Sqrt[Cosh[a + b*x]], x]", "((-2*I)*EllipticF[(I/2)*(a + b*x), 2])/b");

}

// {(b*Cosh[c + d*x])^n, x, 1, -(((b*Cosh[c + d*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cosh[c + d*x]^2]*Sinh[c + d*x])/(b*d*(1 + n)*Sqrt[-Sinh[c + d*x]^2]))}
public void test02863() {
	check("Integrate[(b*Cosh[c + d*x])^n, x]", "-(((b*Cosh[c + d*x])^(1 + n)*Hypergeometric2F1[1/2, (1 + n)/2, (3 + n)/2, Cosh[c + d*x]^2]*Sinh[c + d*x])/(b*d*(1 + n)*Sqrt[-Sinh[c + d*x]^2]))");

}

// {(1 + Cosh[c + d*x])^(-1), x, 1, Sinh[c + d*x]/(d*(1 + Cosh[c + d*x]))}
public void test02864() {
	check("Integrate[(1 + Cosh[c + d*x])^(-1), x]", "Sinh[c + d*x]/(d*(1 + Cosh[c + d*x]))");

}

// {(1 - Cosh[c + d*x])^(-1), x, 1, -(Sinh[c + d*x]/(d*(1 - Cosh[c + d*x])))}
public void test02865() {
	check("Integrate[(1 - Cosh[c + d*x])^(-1), x]", "-(Sinh[c + d*x]/(d*(1 - Cosh[c + d*x])))");

}

// {Sqrt[a + a*Cosh[c + d*x]], x, 1, (2*a*Sinh[c + d*x])/(d*Sqrt[a + a*Cosh[c + d*x]])}
public void test02866() {
	check("Integrate[Sqrt[a + a*Cosh[c + d*x]], x]", "(2*a*Sinh[c + d*x])/(d*Sqrt[a + a*Cosh[c + d*x]])");

}

// {Sqrt[a - a*Cosh[c + d*x]], x, 1, (-2*a*Sinh[c + d*x])/(d*Sqrt[a - a*Cosh[c + d*x]])}
public void test02867() {
	check("Integrate[Sqrt[a - a*Cosh[c + d*x]], x]", "(-2*a*Sinh[c + d*x])/(d*Sqrt[a - a*Cosh[c + d*x]])");

}

// {(a + b*Cosh[c + d*x])^2, x, 1, ((2*a^2 + b^2)*x)/2 + (2*a*b*Sinh[c + d*x])/d + (b^2*Cosh[c + d*x]*Sinh[c + d*x])/(2*d)}
public void test02868() {
	check("Integrate[(a + b*Cosh[c + d*x])^2, x]", "((2*a^2 + b^2)*x)/2 + (2*a*b*Sinh[c + d*x])/d + (b^2*Cosh[c + d*x]*Sinh[c + d*x])/(2*d)");

}

// {(5 + 3*Cosh[c + d*x])^(-1), x, 1, x/4 - ArcTanh[Sinh[c + d*x]/(3 + Cosh[c + d*x])]/(2*d)}
public void test02869() {
	check("Integrate[(5 + 3*Cosh[c + d*x])^(-1), x]", "x/4 - ArcTanh[Sinh[c + d*x]/(3 + Cosh[c + d*x])]/(2*d)");

}

// {Sinh[x]^2/(1 + Cosh[x])^3, x, 1, Sinh[x]^3/(3*(1 + Cosh[x])^3)}
public void test02870() {
	check("Integrate[Sinh[x]^2/(1 + Cosh[x])^3, x]", "Sinh[x]^3/(3*(1 + Cosh[x])^3)");

}

// {Sinh[x]^2/(1 - Cosh[x])^3, x, 1, -Sinh[x]^3/(3*(1 - Cosh[x])^3)}
public void test02871() {
	check("Integrate[Sinh[x]^2/(1 - Cosh[x])^3, x]", "-Sinh[x]^3/(3*(1 - Cosh[x])^3)");

}

// {Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x, 1, Unintegrable[Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]}
public void test02872() {
	check("Integrate[Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/(1 - a^2*x^2), x]", "Unintegrable[Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]/((1 - a*x)*(1 + a*x)), x]");

}

// {Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x, 1, Unintegrable[Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]}
public void test02873() {
	check("Integrate[Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/(1 - a^2*x^2), x]", "Unintegrable[Sech[Sqrt[1 - a*x]/Sqrt[1 + a*x]]^2/((1 - a*x)*(1 + a*x)), x]");

}

// {Cosh[a + b*Log[c*x^n]], x, 1, (x*Cosh[a + b*Log[c*x^n]])/(1 - b^2*n^2) - (b*n*x*Sinh[a + b*Log[c*x^n]])/(1 - b^2*n^2)}
public void test02874() {
	check("Integrate[Cosh[a + b*Log[c*x^n]], x]", "(x*Cosh[a + b*Log[c*x^n]])/(1 - b^2*n^2) - (b*n*x*Sinh[a + b*Log[c*x^n]])/(1 - b^2*n^2)");

}

// {x^m*Cosh[a + b*Log[c*x^n]], x, 1, ((1 + m)*x^(1 + m)*Cosh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2) - (b*n*x^(1 + m)*Sinh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)}
public void test02875() {
	check("Integrate[x^m*Cosh[a + b*Log[c*x^n]], x]", "((1 + m)*x^(1 + m)*Cosh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2) - (b*n*x^(1 + m)*Sinh[a + b*Log[c*x^n]])/((1 + m)^2 - b^2*n^2)");

}

// {F^(c*(a + b*x))*Cosh[d + e*x], x, 1, -((b*c*F^(c*(a + b*x))*Cosh[d + e*x]*Log[F])/(e^2 - b^2*c^2*Log[F]^2)) + (e*F^(c*(a + b*x))*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)}
public void test02876() {
	check("Integrate[F^(c*(a + b*x))*Cosh[d + e*x], x]", "-((b*c*F^(c*(a + b*x))*Cosh[d + e*x]*Log[F])/(e^2 - b^2*c^2*Log[F]^2)) + (e*F^(c*(a + b*x))*Sinh[d + e*x])/(e^2 - b^2*c^2*Log[F]^2)");

}

// {F^(c*(a + b*x))*Sech[d + e*x], x, 1, (2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[1, (e + b*c*Log[F])/(2*e), (3 + (b*c*Log[F])/e)/2, -E^(2*(d + e*x))])/(e + b*c*Log[F])}
public void test02877() {
	check("Integrate[F^(c*(a + b*x))*Sech[d + e*x], x]", "(2*E^(d + e*x)*F^(c*(a + b*x))*Hypergeometric2F1[1, (e + b*c*Log[F])/(2*e), (3 + (b*c*Log[F])/e)/2, -E^(2*(d + e*x))])/(e + b*c*Log[F])");

}

// {F^(c*(a + b*x))*Sech[d + e*x]^2, x, 1, (4*E^(2*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/(2*e), 2 + (b*c*Log[F])/(2*e), -E^(2*(d + e*x))])/(2*e + b*c*Log[F])}
public void test02878() {
	check("Integrate[F^(c*(a + b*x))*Sech[d + e*x]^2, x]", "(4*E^(2*(d + e*x))*F^(c*(a + b*x))*Hypergeometric2F1[2, 1 + (b*c*Log[F])/(2*e), 2 + (b*c*Log[F])/(2*e), -E^(2*(d + e*x))])/(2*e + b*c*Log[F])");

}

// {E^x*Cosh[a + b*x], x, 1, (E^x*Cosh[a + b*x])/(1 - b^2) - (b*E^x*Sinh[a + b*x])/(1 - b^2)}
public void test02879() {
	check("Integrate[E^x*Cosh[a + b*x], x]", "(E^x*Cosh[a + b*x])/(1 - b^2) - (b*E^x*Sinh[a + b*x])/(1 - b^2)");

}

// {Sqrt[1 + Cosh[x]^2], x, 1, (-I)*EllipticE[Pi/2 + I*x, -1]}
public void test02880() {
	check("Integrate[Sqrt[1 + Cosh[x]^2], x]", "(-I)*EllipticE[Pi/2 + I*x, -1]");

}

// {1/Sqrt[1 + Cosh[x]^2], x, 1, (-I)*EllipticF[Pi/2 + I*x, -1]}
public void test02881() {
	check("Integrate[1/Sqrt[1 + Cosh[x]^2], x]", "(-I)*EllipticF[Pi/2 + I*x, -1]");

}

// {Tanh[a + b*x], x, 1, Log[Cosh[a + b*x]]/b}
public void test02882() {
	check("Integrate[Tanh[a + b*x], x]", "Log[Cosh[a + b*x]]/b");

}

// {Coth[a + b*x], x, 1, Log[Sinh[a + b*x]]/b}
public void test02883() {
	check("Integrate[Coth[a + b*x], x]", "Log[Sinh[a + b*x]]/b");

}

// {Sech[x]/(1 + Tanh[x]), x, 1, -(Sech[x]/(1 + Tanh[x]))}
public void test02884() {
	check("Integrate[Sech[x]/(1 + Tanh[x]), x]", "-(Sech[x]/(1 + Tanh[x]))");

}

// {Csch[x]/(1 + Coth[x]), x, 1, -(Csch[x]/(1 + Coth[x]))}
public void test02885() {
	check("Integrate[Csch[x]/(1 + Coth[x]), x]", "-(Csch[x]/(1 + Coth[x]))");

}

// {(e*x)^m*(a + b*Sech[c + d*x^n])^p, x, 1, ((e*x)^m*Unintegrable[x^m*(a + b*Sech[c + d*x^n])^p, x])/x^m}
public void test02886() {
	check("Integrate[(e*x)^m*(a + b*Sech[c + d*x^n])^p, x]", "((e*x)^m*Unintegrable[x^m*(a + b*Sech[c + d*x^n])^p, x])/x^m");

}

// {Sech[a + b*x], x, 1, ArcTan[Sinh[a + b*x]]/b}
public void test02887() {
	check("Integrate[Sech[a + b*x], x]", "ArcTan[Sinh[a + b*x]]/b");

}

// {Sech[x]/(a + a*Sech[x]), x, 1, Tanh[x]/(a + a*Sech[x])}
public void test02888() {
	check("Integrate[Sech[x]/(a + a*Sech[x]), x]", "Tanh[x]/(a + a*Sech[x])");

}

// {1/Sqrt[a + b*Sech[c + d*x]], x, 1, (2*Sqrt[a + b]*Coth[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sech[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sech[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sech[c + d*x]))/(a - b))])/(a*d)}
public void test02889() {
	check("Integrate[1/Sqrt[a + b*Sech[c + d*x]], x]", "(2*Sqrt[a + b]*Coth[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sech[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sech[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sech[c + d*x]))/(a - b))])/(a*d)");

}

// {Sqrt[a + b*Sech[c + d*x]], x, 1, (2*Coth[c + d*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sech[c + d*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sech[c + d*x]))/(a + b*Sech[c + d*x]))]*Sqrt[(b*(1 + Sech[c + d*x]))/(a + b*Sech[c + d*x])]*(a + b*Sech[c + d*x]))/(Sqrt[a + b]*d)}
public void test02890() {
	check("Integrate[Sqrt[a + b*Sech[c + d*x]], x]", "(2*Coth[c + d*x]*EllipticPi[a/(a + b), ArcSin[Sqrt[a + b]/Sqrt[a + b*Sech[c + d*x]]], (a - b)/(a + b)]*Sqrt[-((b*(1 - Sech[c + d*x]))/(a + b*Sech[c + d*x]))]*Sqrt[(b*(1 + Sech[c + d*x]))/(a + b*Sech[c + d*x])]*(a + b*Sech[c + d*x]))/(Sqrt[a + b]*d)");

}

// {1/Sqrt[a + b*Sech[c + d*x]], x, 1, (2*Sqrt[a + b]*Coth[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sech[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sech[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sech[c + d*x]))/(a - b))])/(a*d)}
public void test02891() {
	check("Integrate[1/Sqrt[a + b*Sech[c + d*x]], x]", "(2*Sqrt[a + b]*Coth[c + d*x]*EllipticPi[(a + b)/a, ArcSin[Sqrt[a + b*Sech[c + d*x]]/Sqrt[a + b]], (a + b)/(a - b)]*Sqrt[(b*(1 - Sech[c + d*x]))/(a + b)]*Sqrt[-((b*(1 + Sech[c + d*x]))/(a - b))])/(a*d)");

}

// {Cosh[c + d*x]/((e + f*x)*(a + b*Csch[c + d*x])), x, 1, Unintegrable[(Cosh[c + d*x]*Sinh[c + d*x])/((e + f*x)*(b + a*Sinh[c + d*x])), x]}
public void test02892() {
	check("Integrate[Cosh[c + d*x]/((e + f*x)*(a + b*Csch[c + d*x])), x]", "Unintegrable[(Cosh[c + d*x]*Sinh[c + d*x])/((e + f*x)*(b + a*Sinh[c + d*x])), x]");

}

// {(e*x)^m*(a + b*Csch[c + d*x^n])^p, x, 1, ((e*x)^m*Unintegrable[x^m*(a + b*Csch[c + d*x^n])^p, x])/x^m}
public void test02893() {
	check("Integrate[(e*x)^m*(a + b*Csch[c + d*x^n])^p, x]", "((e*x)^m*Unintegrable[x^m*(a + b*Csch[c + d*x^n])^p, x])/x^m");

}

// {Csch[a + b*x], x, 1, -(ArcTanh[Cosh[a + b*x]]/b)}
public void test02894() {
	check("Integrate[Csch[a + b*x], x]", "-(ArcTanh[Cosh[a + b*x]]/b)");

}

// {Csch[x]/(I + Csch[x]), x, 1, (I*Coth[x])/(I + Csch[x])}
public void test02895() {
	check("Integrate[Csch[x]/(I + Csch[x]), x]", "(I*Coth[x])/(I + Csch[x])");

}

// {Cosh[x]^(2/3)/Sinh[x]^(8/3), x, 1, (-3*Cosh[x]^(5/3))/(5*Sinh[x]^(5/3))}
public void test02896() {
	check("Integrate[Cosh[x]^(2/3)/Sinh[x]^(8/3), x]", "(-3*Cosh[x]^(5/3))/(5*Sinh[x]^(5/3))");

}

// {Sinh[x]^(2/3)/Cosh[x]^(8/3), x, 1, (3*Sinh[x]^(5/3))/(5*Cosh[x]^(5/3))}
public void test02897() {
	check("Integrate[Sinh[x]^(2/3)/Cosh[x]^(8/3), x]", "(3*Sinh[x]^(5/3))/(5*Cosh[x]^(5/3))");

}

// {Sinh[x]*Sinh[3*x], x, 1, -Sinh[2*x]/4 + Sinh[4*x]/8}
public void test02898() {
	check("Integrate[Sinh[x]*Sinh[3*x], x]", "-Sinh[2*x]/4 + Sinh[4*x]/8");

}

// {Sinh[x]*Sinh[4*x], x, 1, -Sinh[3*x]/6 + Sinh[5*x]/10}
public void test02899() {
	check("Integrate[Sinh[x]*Sinh[4*x], x]", "-Sinh[3*x]/6 + Sinh[5*x]/10");

}

// {Cosh[2*x]*Sinh[x], x, 1, -Cosh[x]/2 + Cosh[3*x]/6}
public void test02900() {
	check("Integrate[Cosh[2*x]*Sinh[x], x]", "-Cosh[x]/2 + Cosh[3*x]/6");

}

// {Cosh[3*x]*Sinh[x], x, 1, -Cosh[2*x]/4 + Cosh[4*x]/8}
public void test02901() {
	check("Integrate[Cosh[3*x]*Sinh[x], x]", "-Cosh[2*x]/4 + Cosh[4*x]/8");

}

// {Cosh[4*x]*Sinh[x], x, 1, -Cosh[3*x]/6 + Cosh[5*x]/10}
public void test02902() {
	check("Integrate[Cosh[4*x]*Sinh[x], x]", "-Cosh[3*x]/6 + Cosh[5*x]/10");

}

// {Cosh[x]*Sinh[3*x], x, 1, Cosh[2*x]/4 + Cosh[4*x]/8}
public void test02903() {
	check("Integrate[Cosh[x]*Sinh[3*x], x]", "Cosh[2*x]/4 + Cosh[4*x]/8");

}

// {Cosh[x]*Sinh[4*x], x, 1, Cosh[3*x]/6 + Cosh[5*x]/10}
public void test02904() {
	check("Integrate[Cosh[x]*Sinh[4*x], x]", "Cosh[3*x]/6 + Cosh[5*x]/10");

}

// {Cosh[x]*Cosh[2*x], x, 1, Sinh[x]/2 + Sinh[3*x]/6}
public void test02905() {
	check("Integrate[Cosh[x]*Cosh[2*x], x]", "Sinh[x]/2 + Sinh[3*x]/6");

}

// {Cosh[x]*Cosh[3*x], x, 1, Sinh[2*x]/4 + Sinh[4*x]/8}
public void test02906() {
	check("Integrate[Cosh[x]*Cosh[3*x], x]", "Sinh[2*x]/4 + Sinh[4*x]/8");

}

// {Cosh[x]*Cosh[4*x], x, 1, Sinh[3*x]/6 + Sinh[5*x]/10}
public void test02907() {
	check("Integrate[Cosh[x]*Cosh[4*x], x]", "Sinh[3*x]/6 + Sinh[5*x]/10");

}

// {Tanh[a + b*x], x, 1, Log[Cosh[a + b*x]]/b}
public void test02908() {
	check("Integrate[Tanh[a + b*x], x]", "Log[Cosh[a + b*x]]/b");

}

// {x^m*Sech[a + b*x]*Tanh[a + b*x]^2, x, 1, Unintegrable[x^m*Sech[a + b*x], x] - Unintegrable[x^m*Sech[a + b*x]^3, x]}
public void test02909() {
	check("Integrate[x^m*Sech[a + b*x]*Tanh[a + b*x]^2, x]", "Unintegrable[x^m*Sech[a + b*x], x] - Unintegrable[x^m*Sech[a + b*x]^3, x]");

}

// {(Sech[a + b*x]*Tanh[a + b*x]^2)/x, x, 1, Unintegrable[Sech[a + b*x]/x, x] - Unintegrable[Sech[a + b*x]^3/x, x]}
public void test02910() {
	check("Integrate[(Sech[a + b*x]*Tanh[a + b*x]^2)/x, x]", "Unintegrable[Sech[a + b*x]/x, x] - Unintegrable[Sech[a + b*x]^3/x, x]");

}

// {(Sech[a + b*x]*Tanh[a + b*x]^2)/x^2, x, 1, Unintegrable[Sech[a + b*x]/x^2, x] - Unintegrable[Sech[a + b*x]^3/x^2, x]}
public void test02911() {
	check("Integrate[(Sech[a + b*x]*Tanh[a + b*x]^2)/x^2, x]", "Unintegrable[Sech[a + b*x]/x^2, x] - Unintegrable[Sech[a + b*x]^3/x^2, x]");

}

// {Coth[a + b*x], x, 1, Log[Sinh[a + b*x]]/b}
public void test02912() {
	check("Integrate[Coth[a + b*x], x]", "Log[Sinh[a + b*x]]/b");

}

// {x^m*Coth[a + b*x]^2*Csch[a + b*x], x, 1, Unintegrable[x^m*Csch[a + b*x], x] + Unintegrable[x^m*Csch[a + b*x]^3, x]}
public void test02913() {
	check("Integrate[x^m*Coth[a + b*x]^2*Csch[a + b*x], x]", "Unintegrable[x^m*Csch[a + b*x], x] + Unintegrable[x^m*Csch[a + b*x]^3, x]");

}

// {(Coth[a + b*x]^2*Csch[a + b*x])/x, x, 1, Unintegrable[Csch[a + b*x]/x, x] + Unintegrable[Csch[a + b*x]^3/x, x]}
public void test02914() {
	check("Integrate[(Coth[a + b*x]^2*Csch[a + b*x])/x, x]", "Unintegrable[Csch[a + b*x]/x, x] + Unintegrable[Csch[a + b*x]^3/x, x]");

}

// {(Coth[a + b*x]^2*Csch[a + b*x])/x^2, x, 1, Unintegrable[Csch[a + b*x]/x^2, x] + Unintegrable[Csch[a + b*x]^3/x^2, x]}
public void test02915() {
	check("Integrate[(Coth[a + b*x]^2*Csch[a + b*x])/x^2, x]", "Unintegrable[Csch[a + b*x]/x^2, x] + Unintegrable[Csch[a + b*x]^3/x^2, x]");

}

// {(Csch[a + b*x]*Sech[a + b*x])/x, x, 1, 2*Unintegrable[Csch[2*a + 2*b*x]/x, x]}
public void test02916() {
	check("Integrate[(Csch[a + b*x]*Sech[a + b*x])/x, x]", "2*Unintegrable[Csch[2*a + 2*b*x]/x, x]");

}

// {(Csch[a + b*x]*Sech[a + b*x])/x^2, x, 1, 2*Unintegrable[Csch[2*a + 2*b*x]/x^2, x]}
public void test02917() {
	check("Integrate[(Csch[a + b*x]*Sech[a + b*x])/x^2, x]", "2*Unintegrable[Csch[2*a + 2*b*x]/x^2, x]");

}

// {(Csch[a + b*x]^2*Sech[a + b*x]^2)/x, x, 1, 4*Unintegrable[Csch[2*a + 2*b*x]^2/x, x]}
public void test02918() {
	check("Integrate[(Csch[a + b*x]^2*Sech[a + b*x]^2)/x, x]", "4*Unintegrable[Csch[2*a + 2*b*x]^2/x, x]");

}

// {(Csch[a + b*x]^2*Sech[a + b*x]^2)/x^2, x, 1, 4*Unintegrable[Csch[2*a + 2*b*x]^2/x^2, x]}
public void test02919() {
	check("Integrate[(Csch[a + b*x]^2*Sech[a + b*x]^2)/x^2, x]", "4*Unintegrable[Csch[2*a + 2*b*x]^2/x^2, x]");

}

// {(Csch[a + b*x]^3*Sech[a + b*x]^3)/x, x, 1, 8*Unintegrable[Csch[2*a + 2*b*x]^3/x, x]}
public void test02920() {
	check("Integrate[(Csch[a + b*x]^3*Sech[a + b*x]^3)/x, x]", "8*Unintegrable[Csch[2*a + 2*b*x]^3/x, x]");

}

// {(Csch[a + b*x]^3*Sech[a + b*x]^3)/x^2, x, 1, 8*Unintegrable[Csch[2*a + 2*b*x]^3/x^2, x]}
public void test02921() {
	check("Integrate[(Csch[a + b*x]^3*Sech[a + b*x]^3)/x^2, x]", "8*Unintegrable[Csch[2*a + 2*b*x]^3/x^2, x]");

}

// {(a*Cosh[x] + b*Sinh[x])^(-2), x, 1, Sinh[x]/(a*(a*Cosh[x] + b*Sinh[x]))}
public void test02922() {
	check("Integrate[(a*Cosh[x] + b*Sinh[x])^(-2), x]", "Sinh[x]/(a*(a*Cosh[x] + b*Sinh[x]))");

}

// {(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2, x, 1, (a*Cosh[c + d*x] + a*Sinh[c + d*x])^2/(2*d)}
public void test02923() {
	check("Integrate[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2, x]", "(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2/(2*d)");

}

// {(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3, x, 1, (a*Cosh[c + d*x] + a*Sinh[c + d*x])^3/(3*d)}
public void test02924() {
	check("Integrate[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3, x]", "(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3/(3*d)");

}

// {(a*Cosh[c + d*x] + a*Sinh[c + d*x])^n, x, 1, (a*Cosh[c + d*x] + a*Sinh[c + d*x])^n/(d*n)}
public void test02925() {
	check("Integrate[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^n, x]", "(a*Cosh[c + d*x] + a*Sinh[c + d*x])^n/(d*n)");

}

// {(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-1), x, 1, -(1/(d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])))}
public void test02926() {
	check("Integrate[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-1), x]", "-(1/(d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])))");

}

// {(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-2), x, 1, -1/(2*d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2)}
public void test02927() {
	check("Integrate[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-2), x]", "-1/(2*d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])^2)");

}

// {(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-3), x, 1, -1/(3*d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3)}
public void test02928() {
	check("Integrate[(a*Cosh[c + d*x] + a*Sinh[c + d*x])^(-3), x]", "-1/(3*d*(a*Cosh[c + d*x] + a*Sinh[c + d*x])^3)");

}

// {Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]], x, 1, (2*Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]])/d}
public void test02929() {
	check("Integrate[Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]], x]", "(2*Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]])/d");

}

// {1/Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]], x, 1, -2/(d*Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]])}
public void test02930() {
	check("Integrate[1/Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]], x]", "-2/(d*Sqrt[a*Cosh[c + d*x] + a*Sinh[c + d*x]])");

}

// {(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2, x, 1, -(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2/(2*d)}
public void test02931() {
	check("Integrate[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2, x]", "-(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2/(2*d)");

}

// {(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3, x, 1, -(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3/(3*d)}
public void test02932() {
	check("Integrate[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3, x]", "-(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3/(3*d)");

}

// {(a*Cosh[c + d*x] - a*Sinh[c + d*x])^n, x, 1, -((a*Cosh[c + d*x] - a*Sinh[c + d*x])^n/(d*n))}
public void test02933() {
	check("Integrate[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^n, x]", "-((a*Cosh[c + d*x] - a*Sinh[c + d*x])^n/(d*n))");

}

// {(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-1), x, 1, 1/(d*(a*Cosh[c + d*x] - a*Sinh[c + d*x]))}
public void test02934() {
	check("Integrate[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-1), x]", "1/(d*(a*Cosh[c + d*x] - a*Sinh[c + d*x]))");

}

// {(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-2), x, 1, 1/(2*d*(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2)}
public void test02935() {
	check("Integrate[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-2), x]", "1/(2*d*(a*Cosh[c + d*x] - a*Sinh[c + d*x])^2)");

}

// {(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-3), x, 1, 1/(3*d*(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3)}
public void test02936() {
	check("Integrate[(a*Cosh[c + d*x] - a*Sinh[c + d*x])^(-3), x]", "1/(3*d*(a*Cosh[c + d*x] - a*Sinh[c + d*x])^3)");

}

// {Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]], x, 1, (-2*Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]])/d}
public void test02937() {
	check("Integrate[Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]], x]", "(-2*Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]])/d");

}

// {1/Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]], x, 1, 2/(d*Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]])}
public void test02938() {
	check("Integrate[1/Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]], x]", "2/(d*Sqrt[a*Cosh[c + d*x] - a*Sinh[c + d*x]])");

}

// {(Cosh[x] + Sinh[x])/(Cosh[x] - Sinh[x]), x, 1, (Cosh[x] + Sinh[x])^2/2}
public void test02939() {
	check("Integrate[(Cosh[x] + Sinh[x])/(Cosh[x] - Sinh[x]), x]", "(Cosh[x] + Sinh[x])^2/2");

}

// {(Cosh[x] - Sinh[x])/(Cosh[x] + Sinh[x]), x, 1, -1/(2*(Cosh[x] + Sinh[x])^2)}
public void test02940() {
	check("Integrate[(Cosh[x] - Sinh[x])/(Cosh[x] + Sinh[x]), x]", "-1/(2*(Cosh[x] + Sinh[x])^2)");

}

// {(Cosh[x] - I*Sinh[x])/(Cosh[x] + I*Sinh[x]), x, 1, (-I)*Log[Cosh[x] + I*Sinh[x]]}
public void test02941() {
	check("Integrate[(Cosh[x] - I*Sinh[x])/(Cosh[x] + I*Sinh[x]), x]", "(-I)*Log[Cosh[x] + I*Sinh[x]]");

}

// {(B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x]), x, 1, ((b*B - c*C)*x)/(b^2 - c^2) - ((B*c - b*C)*Log[b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)}
public void test02942() {
	check("Integrate[(B*Cosh[x] + C*Sinh[x])/(b*Cosh[x] + c*Sinh[x]), x]", "((b*B - c*C)*x)/(b^2 - c^2) - ((B*c - b*C)*Log[b*Cosh[x] + c*Sinh[x]])/(b^2 - c^2)");

}

// {(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-1), x, 1, -((c + Sqrt[b^2 - c^2]*Sinh[x])/(c*(c*Cosh[x] + b*Sinh[x])))}
public void test02943() {
	check("Integrate[(Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x])^(-1), x]", "-((c + Sqrt[b^2 - c^2]*Sinh[x])/(c*(c*Cosh[x] + b*Sinh[x])))");

}

// {Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]], x, 1, (2*(c*Cosh[x] + b*Sinh[x]))/Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]}
public void test02944() {
	check("Integrate[Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]], x]", "(2*(c*Cosh[x] + b*Sinh[x]))/Sqrt[Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]");

}

// {Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]], x, 1, (2*(c*Cosh[x] + b*Sinh[x]))/Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]}
public void test02945() {
	check("Integrate[Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]], x]", "(2*(c*Cosh[x] + b*Sinh[x]))/Sqrt[-Sqrt[b^2 - c^2] + b*Cosh[x] + c*Sinh[x]]");

}

// {Sinh[x]/(1 + Cosh[x] + Sinh[x]), x, 1, x/2 + Cosh[x]/2 - Sinh[x]/2}
public void test02946() {
	check("Integrate[Sinh[x]/(1 + Cosh[x] + Sinh[x]), x]", "x/2 + Cosh[x]/2 - Sinh[x]/2");

}

// {(b^2 - c^2 + a*b*Cosh[x] + a*c*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^2, x, 1, (c*Cosh[x] + b*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])}
public void test02947() {
	check("Integrate[(b^2 - c^2 + a*b*Cosh[x] + a*c*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])^2, x]", "(c*Cosh[x] + b*Sinh[x])/(a + b*Cosh[x] + c*Sinh[x])");

}

// {(A + C*Sinh[x])/(a + b*Cosh[x] + b*Sinh[x]), x, 1, ((2*a*A + b*C)*x)/(2*a^2) + (C*Cosh[x])/(2*a) - (((2*A)/a - C/b + (b*C)/a^2)*Log[a + b*Cosh[x] + b*Sinh[x]])/2 - (C*Sinh[x])/(2*a)}
public void test02948() {
	check("Integrate[(A + C*Sinh[x])/(a + b*Cosh[x] + b*Sinh[x]), x]", "((2*a*A + b*C)*x)/(2*a^2) + (C*Cosh[x])/(2*a) - (((2*A)/a - C/b + (b*C)/a^2)*Log[a + b*Cosh[x] + b*Sinh[x]])/2 - (C*Sinh[x])/(2*a)");

}

// {(A + B*Cosh[x])/(a + b*Cosh[x] + b*Sinh[x]), x, 1, ((2*a*A - b*B)*x)/(2*a^2) - (B*Cosh[x])/(2*a) - ((2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cosh[x] + b*Sinh[x]])/(2*a^2*b) + (B*Sinh[x])/(2*a)}
public void test02949() {
	check("Integrate[(A + B*Cosh[x])/(a + b*Cosh[x] + b*Sinh[x]), x]", "((2*a*A - b*B)*x)/(2*a^2) - (B*Cosh[x])/(2*a) - ((2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cosh[x] + b*Sinh[x]])/(2*a^2*b) + (B*Sinh[x])/(2*a)");

}

// {(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + b*Sinh[x]), x, 1, ((2*a*A - b*(B - C))*x)/(2*a^2) - ((2*a*A*b - b^2*(B - C) - a^2*(B + C))*Log[a + b*Cosh[x] + b*Sinh[x]])/(2*a^2*b) - ((B - C)*(Cosh[x] - Sinh[x]))/(2*a)}
public void test02950() {
	check("Integrate[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] + b*Sinh[x]), x]", "((2*a*A - b*(B - C))*x)/(2*a^2) - ((2*a*A*b - b^2*(B - C) - a^2*(B + C))*Log[a + b*Cosh[x] + b*Sinh[x]])/(2*a^2*b) - ((B - C)*(Cosh[x] - Sinh[x]))/(2*a)");

}

// {(A + C*Sinh[x])/(a + b*Cosh[x] - b*Sinh[x]), x, 1, ((2*a*A - b*C)*x)/(2*a^2) + (C*Cosh[x])/(2*a) + ((2*a*A*b + a^2*C - b^2*C)*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + (C*Sinh[x])/(2*a)}
public void test02951() {
	check("Integrate[(A + C*Sinh[x])/(a + b*Cosh[x] - b*Sinh[x]), x]", "((2*a*A - b*C)*x)/(2*a^2) + (C*Cosh[x])/(2*a) + ((2*a*A*b + a^2*C - b^2*C)*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + (C*Sinh[x])/(2*a)");

}

// {(A + B*Cosh[x])/(a + b*Cosh[x] - b*Sinh[x]), x, 1, ((2*a*A - b*B)*x)/(2*a^2) + (B*Cosh[x])/(2*a) + ((2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + (B*Sinh[x])/(2*a)}
public void test02952() {
	check("Integrate[(A + B*Cosh[x])/(a + b*Cosh[x] - b*Sinh[x]), x]", "((2*a*A - b*B)*x)/(2*a^2) + (B*Cosh[x])/(2*a) + ((2*a*A*b - a^2*B - b^2*B)*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + (B*Sinh[x])/(2*a)");

}

// {(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] - b*Sinh[x]), x, 1, ((2*a*A - b*(B + C))*x)/(2*a^2) + ((2*a*A*b - a^2*(B - C) - b^2*(B + C))*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + ((B + C)*(Cosh[x] + Sinh[x]))/(2*a)}
public void test02953() {
	check("Integrate[(A + B*Cosh[x] + C*Sinh[x])/(a + b*Cosh[x] - b*Sinh[x]), x]", "((2*a*A - b*(B + C))*x)/(2*a^2) + ((2*a*A*b - a^2*(B - C) - b^2*(B + C))*Log[a + b*Cosh[x] - b*Sinh[x]])/(2*a^2*b) + ((B + C)*(Cosh[x] + Sinh[x]))/(2*a)");

}

// {1/(x*(a + b*Cosh[x]*Sinh[x])), x, 1, Unintegrable[1/(x*(a + (b*Sinh[2*x])/2)), x]}
public void test02954() {
	check("Integrate[1/(x*(a + b*Cosh[x]*Sinh[x])), x]", "Unintegrable[1/(x*(a + (b*Sinh[2*x])/2)), x]");

}

// {E^(a + b*x)*Sinh[c + d*x], x, 1, -((d*E^(a + b*x)*Cosh[c + d*x])/(b^2 - d^2)) + (b*E^(a + b*x)*Sinh[c + d*x])/(b^2 - d^2)}
public void test02955() {
	check("Integrate[E^(a + b*x)*Sinh[c + d*x], x]", "-((d*E^(a + b*x)*Cosh[c + d*x])/(b^2 - d^2)) + (b*E^(a + b*x)*Sinh[c + d*x])/(b^2 - d^2)");

}

// {E^(a + b*x)*Csch[c + d*x], x, 1, (-2*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, E^(2*(c + d*x))])/(b + d)}
public void test02956() {
	check("Integrate[E^(a + b*x)*Csch[c + d*x], x]", "(-2*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, E^(2*(c + d*x))])/(b + d)");

}

// {E^(c + d*x)*Csch[a + b*x]^2, x, 1, (4*E^(c + d*x + 2*(a + b*x))*Hypergeometric2F1[2, 1 + d/(2*b), 2 + d/(2*b), E^(2*(a + b*x))])/(2*b + d)}
public void test02957() {
	check("Integrate[E^(c + d*x)*Csch[a + b*x]^2, x]", "(4*E^(c + d*x + 2*(a + b*x))*Hypergeometric2F1[2, 1 + d/(2*b), 2 + d/(2*b), E^(2*(a + b*x))])/(2*b + d)");

}

// {E^(a + b*x)*Cosh[c + d*x], x, 1, (b*E^(a + b*x)*Cosh[c + d*x])/(b^2 - d^2) - (d*E^(a + b*x)*Sinh[c + d*x])/(b^2 - d^2)}
public void test02958() {
	check("Integrate[E^(a + b*x)*Cosh[c + d*x], x]", "(b*E^(a + b*x)*Cosh[c + d*x])/(b^2 - d^2) - (d*E^(a + b*x)*Sinh[c + d*x])/(b^2 - d^2)");

}

// {E^(a + b*x)*Sech[c + d*x], x, 1, (2*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, -E^(2*(c + d*x))])/(b + d)}
public void test02959() {
	check("Integrate[E^(a + b*x)*Sech[c + d*x], x]", "(2*E^(a + c + b*x + d*x)*Hypergeometric2F1[1, (b + d)/(2*d), (3 + b/d)/2, -E^(2*(c + d*x))])/(b + d)");

}

// {E^(a + b*x)*Sech[c + d*x]^2, x, 1, (4*E^(a + b*x + 2*(c + d*x))*Hypergeometric2F1[2, 1 + b/(2*d), 2 + b/(2*d), -E^(2*(c + d*x))])/(b + 2*d)}
public void test02960() {
	check("Integrate[E^(a + b*x)*Sech[c + d*x]^2, x]", "(4*E^(a + b*x + 2*(c + d*x))*Hypergeometric2F1[2, 1 + b/(2*d), 2 + b/(2*d), -E^(2*(c + d*x))])/(b + 2*d)");

}

// {E^(c + d*x)*Cosh[a + b*x], x, 1, -((d*E^(c + d*x)*Cosh[a + b*x])/(b^2 - d^2)) + (b*E^(c + d*x)*Sinh[a + b*x])/(b^2 - d^2)}
public void test02961() {
	check("Integrate[E^(c + d*x)*Cosh[a + b*x], x]", "-((d*E^(c + d*x)*Cosh[a + b*x])/(b^2 - d^2)) + (b*E^(c + d*x)*Sinh[a + b*x])/(b^2 - d^2)");

}

// {Csch[x]*Log[Tanh[x]]*Sech[x], x, 1, Log[Tanh[x]]^2/2}
public void test02962() {
	check("Integrate[Csch[x]*Log[Tanh[x]]*Sech[x], x]", "Log[Tanh[x]]^2/2");

}

// {Csch[2*x]*Log[Tanh[x]], x, 1, Log[Tanh[x]]^2/4}
public void test02963() {
	check("Integrate[Csch[2*x]*Log[Tanh[x]], x]", "Log[Tanh[x]]^2/4");

}

// {Cosh[a + b*x]*F[c, d, Sinh[a + b*x], r, s], x, 1, CannotIntegrate[Cosh[a + b*x]*F[c, d, Sinh[a + b*x], r, s], x]}
public void test02964() {
	check("Integrate[Cosh[a + b*x]*F[c, d, Sinh[a + b*x], r, s], x]", "CannotIntegrate[Cosh[a + b*x]*F[c, d, Sinh[a + b*x], r, s], x]");

}

// {F[c, d, Cosh[a + b*x], r, s]*Sinh[a + b*x], x, 1, CannotIntegrate[F[c, d, Cosh[a + b*x], r, s]*Sinh[a + b*x], x]}
public void test02965() {
	check("Integrate[F[c, d, Cosh[a + b*x], r, s]*Sinh[a + b*x], x]", "CannotIntegrate[F[c, d, Cosh[a + b*x], r, s]*Sinh[a + b*x], x]");

}

// {F[c, d, Tanh[a + b*x], r, s]*Sech[a + b*x]^2, x, 1, CannotIntegrate[F[c, d, Tanh[a + b*x], r, s]*Sech[a + b*x]^2, x]}
public void test02966() {
	check("Integrate[F[c, d, Tanh[a + b*x], r, s]*Sech[a + b*x]^2, x]", "CannotIntegrate[F[c, d, Tanh[a + b*x], r, s]*Sech[a + b*x]^2, x]");

}

// {Csch[a + b*x]^2*F[c, d, Coth[a + b*x], r, s], x, 1, CannotIntegrate[Csch[a + b*x]^2*F[c, d, Coth[a + b*x], r, s], x]}
public void test02967() {
	check("Integrate[Csch[a + b*x]^2*F[c, d, Coth[a + b*x], r, s], x]", "CannotIntegrate[Csch[a + b*x]^2*F[c, d, Coth[a + b*x], r, s], x]");

}

// {(Cosh[Sqrt[x]]*Sinh[Sqrt[x]])/Sqrt[x], x, 1, Sinh[Sqrt[x]]^2}
public void test02968() {
	check("Integrate[(Cosh[Sqrt[x]]*Sinh[Sqrt[x]])/Sqrt[x], x]", "Sinh[Sqrt[x]]^2");

}

// {(Cosh[a + b*x] - Sinh[a + b*x])/(Cosh[a + b*x] + Sinh[a + b*x]), x, 1, -1/(2*b*(Cosh[a + b*x] + Sinh[a + b*x])^2)}
public void test02969() {
	check("Integrate[(Cosh[a + b*x] - Sinh[a + b*x])/(Cosh[a + b*x] + Sinh[a + b*x]), x]", "-1/(2*b*(Cosh[a + b*x] + Sinh[a + b*x])^2)");

}

// {x^m*ArcSinh[a*x]^4, x, 1, (x^(1 + m)*ArcSinh[a*x]^4)/(1 + m) - (4*a*Unintegrable[(x^(1 + m)*ArcSinh[a*x]^3)/Sqrt[1 + a^2*x^2], x])/(1 + m)}
public void test02970() {
	check("Integrate[x^m*ArcSinh[a*x]^4, x]", "(x^(1 + m)*ArcSinh[a*x]^4)/(1 + m) - (4*a*Unintegrable[(x^(1 + m)*ArcSinh[a*x]^3)/Sqrt[1 + a^2*x^2], x])/(1 + m)");

}

// {x^m*ArcSinh[a*x]^3, x, 1, (x^(1 + m)*ArcSinh[a*x]^3)/(1 + m) - (3*a*Unintegrable[(x^(1 + m)*ArcSinh[a*x]^2)/Sqrt[1 + a^2*x^2], x])/(1 + m)}
public void test02971() {
	check("Integrate[x^m*ArcSinh[a*x]^3, x]", "(x^(1 + m)*ArcSinh[a*x]^3)/(1 + m) - (3*a*Unintegrable[(x^(1 + m)*ArcSinh[a*x]^2)/Sqrt[1 + a^2*x^2], x])/(1 + m)");

}

// {ArcSinh[a*x]/Sqrt[1 + a^2*x^2], x, 1, ArcSinh[a*x]^2/(2*a)}
public void test02972() {
	check("Integrate[ArcSinh[a*x]/Sqrt[1 + a^2*x^2], x]", "ArcSinh[a*x]^2/(2*a)");

}

// {(x^m*ArcSinh[a*x])/Sqrt[1 + a^2*x^2], x, 1, (x^(1 + m)*ArcSinh[a*x]*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, -(a^2*x^2)])/(1 + m) - (a*x^(2 + m)*HypergeometricPFQ[{1, 1 + m/2, 1 + m/2}, {3/2 + m/2, 2 + m/2}, -(a^2*x^2)])/(2 + 3*m + m^2)}
public void test02973() {
	check("Integrate[(x^m*ArcSinh[a*x])/Sqrt[1 + a^2*x^2], x]", "(x^(1 + m)*ArcSinh[a*x]*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, -(a^2*x^2)])/(1 + m) - (a*x^(2 + m)*HypergeometricPFQ[{1, 1 + m/2, 1 + m/2}, {3/2 + m/2, 2 + m/2}, -(a^2*x^2)])/(2 + 3*m + m^2)");

}

// {ArcSinh[a*x]^2/Sqrt[1 + a^2*x^2], x, 1, ArcSinh[a*x]^3/(3*a)}
public void test02974() {
	check("Integrate[ArcSinh[a*x]^2/Sqrt[1 + a^2*x^2], x]", "ArcSinh[a*x]^3/(3*a)");

}

// {ArcSinh[a*x]^3/Sqrt[1 + a^2*x^2], x, 1, ArcSinh[a*x]^4/(4*a)}
public void test02975() {
	check("Integrate[ArcSinh[a*x]^3/Sqrt[1 + a^2*x^2], x]", "ArcSinh[a*x]^4/(4*a)");

}

// {1/(Sqrt[1 + a^2*x^2]*ArcSinh[a*x]), x, 1, Log[ArcSinh[a*x]]/a}
public void test02976() {
	check("Integrate[1/(Sqrt[1 + a^2*x^2]*ArcSinh[a*x]), x]", "Log[ArcSinh[a*x]]/a");

}

// {1/(Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])), x, 1, Log[a + b*ArcSinh[c*x]]/(b*c)}
public void test02977() {
	check("Integrate[1/(Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])), x]", "Log[a + b*ArcSinh[c*x]]/(b*c)");

}

// {1/((c + a^2*c*x^2)*ArcSinh[a*x]^2), x, 1, -(1/(a*c*Sqrt[1 + a^2*x^2]*ArcSinh[a*x])) - (a*Unintegrable[x/((1 + a^2*x^2)^(3/2)*ArcSinh[a*x]), x])/c}
public void test02978() {
	check("Integrate[1/((c + a^2*c*x^2)*ArcSinh[a*x]^2), x]", "-(1/(a*c*Sqrt[1 + a^2*x^2]*ArcSinh[a*x])) - (a*Unintegrable[x/((1 + a^2*x^2)^(3/2)*ArcSinh[a*x]), x])/c");

}

// {1/((c + a^2*c*x^2)^2*ArcSinh[a*x]^2), x, 1, -(1/(a*c^2*(1 + a^2*x^2)^(3/2)*ArcSinh[a*x])) - (3*a*Unintegrable[x/((1 + a^2*x^2)^(5/2)*ArcSinh[a*x]), x])/c^2}
public void test02979() {
	check("Integrate[1/((c + a^2*c*x^2)^2*ArcSinh[a*x]^2), x]", "-(1/(a*c^2*(1 + a^2*x^2)^(3/2)*ArcSinh[a*x])) - (3*a*Unintegrable[x/((1 + a^2*x^2)^(5/2)*ArcSinh[a*x]), x])/c^2");

}

// {Sqrt[1 + c^2*x^2]/(x^2*(a + b*ArcSinh[c*x])^2), x, 1, -((1 + c^2*x^2)/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c)}
public void test02980() {
	check("Integrate[Sqrt[1 + c^2*x^2]/(x^2*(a + b*ArcSinh[c*x])^2), x]", "-((1 + c^2*x^2)/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c)");

}

// {(1 + c^2*x^2)^(3/2)/(x^2*(a + b*ArcSinh[c*x])^2), x, 1, -((1 + c^2*x^2)^2/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[(1 + c^2*x^2)/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c) + (2*c*Unintegrable[(1 + c^2*x^2)/(x*(a + b*ArcSinh[c*x])), x])/b}
public void test02981() {
	check("Integrate[(1 + c^2*x^2)^(3/2)/(x^2*(a + b*ArcSinh[c*x])^2), x]", "-((1 + c^2*x^2)^2/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[(1 + c^2*x^2)/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c) + (2*c*Unintegrable[(1 + c^2*x^2)/(x*(a + b*ArcSinh[c*x])), x])/b");

}

// {(1 + c^2*x^2)^(3/2)/(x^4*(a + b*ArcSinh[c*x])^2), x, 1, -((1 + c^2*x^2)^2/(b*c*x^4*(a + b*ArcSinh[c*x]))) - (4*Unintegrable[(1 + c^2*x^2)/(x^5*(a + b*ArcSinh[c*x])), x])/(b*c)}
public void test02982() {
	check("Integrate[(1 + c^2*x^2)^(3/2)/(x^4*(a + b*ArcSinh[c*x])^2), x]", "-((1 + c^2*x^2)^2/(b*c*x^4*(a + b*ArcSinh[c*x]))) - (4*Unintegrable[(1 + c^2*x^2)/(x^5*(a + b*ArcSinh[c*x])), x])/(b*c)");

}

// {(1 + c^2*x^2)^(5/2)/(x^2*(a + b*ArcSinh[c*x])^2), x, 1, -((1 + c^2*x^2)^3/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[(1 + c^2*x^2)^2/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c) + (4*c*Unintegrable[(1 + c^2*x^2)^2/(x*(a + b*ArcSinh[c*x])), x])/b}
public void test02983() {
	check("Integrate[(1 + c^2*x^2)^(5/2)/(x^2*(a + b*ArcSinh[c*x])^2), x]", "-((1 + c^2*x^2)^3/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[(1 + c^2*x^2)^2/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c) + (4*c*Unintegrable[(1 + c^2*x^2)^2/(x*(a + b*ArcSinh[c*x])), x])/b");

}

// {x^m/(Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x, 1, -(x^m/(b*c*(a + b*ArcSinh[c*x]))) + (m*Unintegrable[x^(-1 + m)/(a + b*ArcSinh[c*x]), x])/(b*c)}
public void test02984() {
	check("Integrate[x^m/(Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x]", "-(x^m/(b*c*(a + b*ArcSinh[c*x]))) + (m*Unintegrable[x^(-1 + m)/(a + b*ArcSinh[c*x]), x])/(b*c)");

}

// {1/(Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x, 1, -(1/(b*c*(a + b*ArcSinh[c*x])))}
public void test02985() {
	check("Integrate[1/(Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x]", "-(1/(b*c*(a + b*ArcSinh[c*x])))");

}

// {1/(x*Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x, 1, -(1/(b*c*x*(a + b*ArcSinh[c*x]))) - Unintegrable[1/(x^2*(a + b*ArcSinh[c*x])), x]/(b*c)}
public void test02986() {
	check("Integrate[1/(x*Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x]", "-(1/(b*c*x*(a + b*ArcSinh[c*x]))) - Unintegrable[1/(x^2*(a + b*ArcSinh[c*x])), x]/(b*c)");

}

// {1/(x^2*Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x, 1, -(1/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c)}
public void test02987() {
	check("Integrate[1/(x^2*Sqrt[1 + c^2*x^2]*(a + b*ArcSinh[c*x])^2), x]", "-(1/(b*c*x^2*(a + b*ArcSinh[c*x]))) - (2*Unintegrable[1/(x^3*(a + b*ArcSinh[c*x])), x])/(b*c)");

}

// {x^2/((1 + c^2*x^2)^(3/2)*(a + b*ArcSinh[c*x])^2), x, 1, -(x^2/(b*c*(1 + c^2*x^2)*(a + b*ArcSinh[c*x]))) + (2*Unintegrable[x/((1 + c^2*x^2)^2*(a + b*ArcSinh[c*x])), x])/(b*c)}
public void test02988() {
	check("Integrate[x^2/((1 + c^2*x^2)^(3/2)*(a + b*ArcSinh[c*x])^2), x]", "-(x^2/(b*c*(1 + c^2*x^2)*(a + b*ArcSinh[c*x]))) + (2*Unintegrable[x/((1 + c^2*x^2)^2*(a + b*ArcSinh[c*x])), x])/(b*c)");

}

// {1/((1 + c^2*x^2)^(3/2)*(a + b*ArcSinh[c*x])^2), x, 1, -(1/(b*c*(1 + c^2*x^2)*(a + b*ArcSinh[c*x]))) - (2*c*Unintegrable[x/((1 + c^2*x^2)^2*(a + b*ArcSinh[c*x])), x])/b}
public void test02989() {
	check("Integrate[1/((1 + c^2*x^2)^(3/2)*(a + b*ArcSinh[c*x])^2), x]", "-(1/(b*c*(1 + c^2*x^2)*(a + b*ArcSinh[c*x]))) - (2*c*Unintegrable[x/((1 + c^2*x^2)^2*(a + b*ArcSinh[c*x])), x])/b");

}

// {1/((1 + c^2*x^2)^(5/2)*(a + b*ArcSinh[c*x])^2), x, 1, -(1/(b*c*(1 + c^2*x^2)^2*(a + b*ArcSinh[c*x]))) - (4*c*Unintegrable[x/((1 + c^2*x^2)^3*(a + b*ArcSinh[c*x])), x])/b}
public void test02990() {
	check("Integrate[1/((1 + c^2*x^2)^(5/2)*(a + b*ArcSinh[c*x])^2), x]", "-(1/(b*c*(1 + c^2*x^2)^2*(a + b*ArcSinh[c*x]))) - (4*c*Unintegrable[x/((1 + c^2*x^2)^3*(a + b*ArcSinh[c*x])), x])/b");

}

// {1/(Sqrt[1 + a^2*x^2]*ArcSinh[a*x]^3), x, 1, -1/(2*a*ArcSinh[a*x]^2)}
public void test02991() {
	check("Integrate[1/(Sqrt[1 + a^2*x^2]*ArcSinh[a*x]^3), x]", "-1/(2*a*ArcSinh[a*x]^2)");

}

// {Sqrt[ArcSinh[a*x]]/(c + a^2*c*x^2)^(3/2), x, 1, (x*Sqrt[ArcSinh[a*x]])/(c*Sqrt[c + a^2*c*x^2]) - (a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)*Sqrt[ArcSinh[a*x]]), x])/(2*c*Sqrt[c + a^2*c*x^2])}
public void test02992() {
	check("Integrate[Sqrt[ArcSinh[a*x]]/(c + a^2*c*x^2)^(3/2), x]", "(x*Sqrt[ArcSinh[a*x]])/(c*Sqrt[c + a^2*c*x^2]) - (a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)*Sqrt[ArcSinh[a*x]]), x])/(2*c*Sqrt[c + a^2*c*x^2])");

}

// {ArcSinh[a*x]^(3/2)/(c + a^2*c*x^2)^(3/2), x, 1, (x*ArcSinh[a*x]^(3/2))/(c*Sqrt[c + a^2*c*x^2]) - (3*a*Sqrt[1 + a^2*x^2]*Unintegrable[(x*Sqrt[ArcSinh[a*x]])/(1 + a^2*x^2), x])/(2*c*Sqrt[c + a^2*c*x^2])}
public void test02993() {
	check("Integrate[ArcSinh[a*x]^(3/2)/(c + a^2*c*x^2)^(3/2), x]", "(x*ArcSinh[a*x]^(3/2))/(c*Sqrt[c + a^2*c*x^2]) - (3*a*Sqrt[1 + a^2*x^2]*Unintegrable[(x*Sqrt[ArcSinh[a*x]])/(1 + a^2*x^2), x])/(2*c*Sqrt[c + a^2*c*x^2])");

}

// {ArcSinh[a*x]^(5/2)/(c + a^2*c*x^2)^(3/2), x, 1, (x*ArcSinh[a*x]^(5/2))/(c*Sqrt[c + a^2*c*x^2]) - (5*a*Sqrt[1 + a^2*x^2]*Unintegrable[(x*ArcSinh[a*x]^(3/2))/(1 + a^2*x^2), x])/(2*c*Sqrt[c + a^2*c*x^2])}
public void test02994() {
	check("Integrate[ArcSinh[a*x]^(5/2)/(c + a^2*c*x^2)^(3/2), x]", "(x*ArcSinh[a*x]^(5/2))/(c*Sqrt[c + a^2*c*x^2]) - (5*a*Sqrt[1 + a^2*x^2]*Unintegrable[(x*ArcSinh[a*x]^(3/2))/(1 + a^2*x^2), x])/(2*c*Sqrt[c + a^2*c*x^2])");

}

// {Sqrt[ArcSinh[x/a]]/(a^2 + x^2)^(3/2), x, 1, (x*Sqrt[ArcSinh[x/a]])/(a^2*Sqrt[a^2 + x^2]) - (Sqrt[1 + x^2/a^2]*Unintegrable[x/((1 + x^2/a^2)*Sqrt[ArcSinh[x/a]]), x])/(2*a^3*Sqrt[a^2 + x^2])}
public void test02995() {
	check("Integrate[Sqrt[ArcSinh[x/a]]/(a^2 + x^2)^(3/2), x]", "(x*Sqrt[ArcSinh[x/a]])/(a^2*Sqrt[a^2 + x^2]) - (Sqrt[1 + x^2/a^2]*Unintegrable[x/((1 + x^2/a^2)*Sqrt[ArcSinh[x/a]]), x])/(2*a^3*Sqrt[a^2 + x^2])");

}

// {ArcSinh[x/a]^(3/2)/(a^2 + x^2)^(3/2), x, 1, (x*ArcSinh[x/a]^(3/2))/(a^2*Sqrt[a^2 + x^2]) - (3*Sqrt[1 + x^2/a^2]*Unintegrable[(x*Sqrt[ArcSinh[x/a]])/(1 + x^2/a^2), x])/(2*a^3*Sqrt[a^2 + x^2])}
public void test02996() {
	check("Integrate[ArcSinh[x/a]^(3/2)/(a^2 + x^2)^(3/2), x]", "(x*ArcSinh[x/a]^(3/2))/(a^2*Sqrt[a^2 + x^2]) - (3*Sqrt[1 + x^2/a^2]*Unintegrable[(x*Sqrt[ArcSinh[x/a]])/(1 + x^2/a^2), x])/(2*a^3*Sqrt[a^2 + x^2])");

}

// {1/((c + a^2*c*x^2)^(3/2)*ArcSinh[a*x]^(3/2)), x, 1, (-2*Sqrt[1 + a^2*x^2])/(a*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcSinh[a*x]]) - (4*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^2*Sqrt[ArcSinh[a*x]]), x])/(c*Sqrt[c + a^2*c*x^2])}
public void test02997() {
	check("Integrate[1/((c + a^2*c*x^2)^(3/2)*ArcSinh[a*x]^(3/2)), x]", "(-2*Sqrt[1 + a^2*x^2])/(a*(c + a^2*c*x^2)^(3/2)*Sqrt[ArcSinh[a*x]]) - (4*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^2*Sqrt[ArcSinh[a*x]]), x])/(c*Sqrt[c + a^2*c*x^2])");

}

// {1/((c + a^2*c*x^2)^(5/2)*ArcSinh[a*x]^(3/2)), x, 1, (-2*Sqrt[1 + a^2*x^2])/(a*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcSinh[a*x]]) - (8*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^3*Sqrt[ArcSinh[a*x]]), x])/(c^2*Sqrt[c + a^2*c*x^2])}
public void test02998() {
	check("Integrate[1/((c + a^2*c*x^2)^(5/2)*ArcSinh[a*x]^(3/2)), x]", "(-2*Sqrt[1 + a^2*x^2])/(a*(c + a^2*c*x^2)^(5/2)*Sqrt[ArcSinh[a*x]]) - (8*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^3*Sqrt[ArcSinh[a*x]]), x])/(c^2*Sqrt[c + a^2*c*x^2])");

}

// {1/((c + a^2*c*x^2)^(3/2)*ArcSinh[a*x]^(5/2)), x, 1, (-2*Sqrt[1 + a^2*x^2])/(3*a*(c + a^2*c*x^2)^(3/2)*ArcSinh[a*x]^(3/2)) - (4*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^2*ArcSinh[a*x]^(3/2)), x])/(3*c*Sqrt[c + a^2*c*x^2])}
public void test02999() {
	check("Integrate[1/((c + a^2*c*x^2)^(3/2)*ArcSinh[a*x]^(5/2)), x]", "(-2*Sqrt[1 + a^2*x^2])/(3*a*(c + a^2*c*x^2)^(3/2)*ArcSinh[a*x]^(3/2)) - (4*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^2*ArcSinh[a*x]^(3/2)), x])/(3*c*Sqrt[c + a^2*c*x^2])");

}

// {1/((c + a^2*c*x^2)^(5/2)*ArcSinh[a*x]^(5/2)), x, 1, (-2*Sqrt[1 + a^2*x^2])/(3*a*(c + a^2*c*x^2)^(5/2)*ArcSinh[a*x]^(3/2)) - (8*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^3*ArcSinh[a*x]^(3/2)), x])/(3*c^2*Sqrt[c + a^2*c*x^2])}
public void test03000() {
	check("Integrate[1/((c + a^2*c*x^2)^(5/2)*ArcSinh[a*x]^(5/2)), x]", "(-2*Sqrt[1 + a^2*x^2])/(3*a*(c + a^2*c*x^2)^(5/2)*ArcSinh[a*x]^(3/2)) - (8*a*Sqrt[1 + a^2*x^2]*Unintegrable[x/((1 + a^2*x^2)^3*ArcSinh[a*x]^(3/2)), x])/(3*c^2*Sqrt[c + a^2*c*x^2])");

}

// {ArcSinh[a*x]^n/Sqrt[1 + a^2*x^2], x, 1, ArcSinh[a*x]^(1 + n)/(a*(1 + n))}
public void test03001() {
	check("Integrate[ArcSinh[a*x]^n/Sqrt[1 + a^2*x^2], x]", "ArcSinh[a*x]^(1 + n)/(a*(1 + n))");

}

// {(d + e*x)^m*(a + b*ArcSinh[c*x])^2, x, 1, ((d + e*x)^(1 + m)*(a + b*ArcSinh[c*x])^2)/(e*(1 + m)) - (2*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcSinh[c*x]))/Sqrt[1 + c^2*x^2], x])/(e*(1 + m))}
public void test03002() {
	check("Integrate[(d + e*x)^m*(a + b*ArcSinh[c*x])^2, x]", "((d + e*x)^(1 + m)*(a + b*ArcSinh[c*x])^2)/(e*(1 + m)) - (2*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcSinh[c*x]))/Sqrt[1 + c^2*x^2], x])/(e*(1 + m))");

}

// {1/(x*ArcSinh[a + b*x]), x, 1, Unintegrable[1/(x*ArcSinh[a + b*x]), x]}
public void test03003() {
	check("Integrate[1/(x*ArcSinh[a + b*x]), x]", "Unintegrable[1/(x*ArcSinh[a + b*x]), x]");

}

// {1/(x*ArcSinh[a + b*x]^2), x, 1, Unintegrable[1/(x*ArcSinh[a + b*x]^2), x]}
public void test03004() {
	check("Integrate[1/(x*ArcSinh[a + b*x]^2), x]", "Unintegrable[1/(x*ArcSinh[a + b*x]^2), x]");

}

// {1/(x*ArcSinh[a + b*x]^3), x, 1, Unintegrable[1/(x*ArcSinh[a + b*x]^3), x]}
public void test03005() {
	check("Integrate[1/(x*ArcSinh[a + b*x]^3), x]", "Unintegrable[1/(x*ArcSinh[a + b*x]^3), x]");

}

// {x^m*(a + b*ArcSinh[c + d*x])^n, x, 1, Unintegrable[x^m*(a + b*ArcSinh[c + d*x])^n, x]}
public void test03006() {
	check("Integrate[x^m*(a + b*ArcSinh[c + d*x])^n, x]", "Unintegrable[x^m*(a + b*ArcSinh[c + d*x])^n, x]");

}

// {(a + b*ArcSinh[c + d*x])^n/x, x, 1, Unintegrable[(a + b*ArcSinh[c + d*x])^n/x, x]}
public void test03007() {
	check("Integrate[(a + b*ArcSinh[c + d*x])^n/x, x]", "Unintegrable[(a + b*ArcSinh[c + d*x])^n/x, x]");

}

// {(c*e + d*e*x)^m/(a + b*ArcSinh[c + d*x]), x, 1, Unintegrable[(e*(c + d*x))^m/(a + b*ArcSinh[c + d*x]), x]}
public void test03008() {
	check("Integrate[(c*e + d*e*x)^m/(a + b*ArcSinh[c + d*x]), x]", "Unintegrable[(e*(c + d*x))^m/(a + b*ArcSinh[c + d*x]), x]");

}

// {1/((1 + a^2 + 2*a*b*x + b^2*x^2)^(3/2)*ArcSinh[a + b*x]), x, 1, Unintegrable[1/((1 + (a + b*x)^2)^(3/2)*ArcSinh[a + b*x]), x]}
public void test03009() {
	check("Integrate[1/((1 + a^2 + 2*a*b*x + b^2*x^2)^(3/2)*ArcSinh[a + b*x]), x]", "Unintegrable[1/((1 + (a + b*x)^2)^(3/2)*ArcSinh[a + b*x]), x]");

}

// {(a + I*b*ArcSin[1 - I*d*x^2])^(-1), x, 1, (x*CosIntegral[((-I/2)*(a + I*b*ArcSin[1 - I*d*x^2]))/b]*(I*Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(2*b*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])) - (x*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)])*SinIntegral[((I/2)*a)/b - ArcSin[1 - I*d*x^2]/2])/(2*b*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))}
public void test03010() {
	check("Integrate[(a + I*b*ArcSin[1 - I*d*x^2])^(-1), x]", "(x*CosIntegral[((-I/2)*(a + I*b*ArcSin[1 - I*d*x^2]))/b]*(I*Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(2*b*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])) - (x*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)])*SinIntegral[((I/2)*a)/b - ArcSin[1 - I*d*x^2]/2])/(2*b*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))");

}

// {(a + I*b*ArcSin[1 - I*d*x^2])^(-2), x, 1, -Sqrt[(2*I)*d*x^2 + d^2*x^4]/(2*b*d*x*(a + I*b*ArcSin[1 - I*d*x^2])) + (x*CosIntegral[((-I/2)*(a + I*b*ArcSin[1 - I*d*x^2]))/b]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])) + (x*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)])*SinIntegral[((I/2)*a)/b - ArcSin[1 - I*d*x^2]/2])/(4*b^2*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))}
public void test03011() {
	check("Integrate[(a + I*b*ArcSin[1 - I*d*x^2])^(-2), x]", "-Sqrt[(2*I)*d*x^2 + d^2*x^4]/(2*b*d*x*(a + I*b*ArcSin[1 - I*d*x^2])) + (x*CosIntegral[((-I/2)*(a + I*b*ArcSin[1 - I*d*x^2]))/b]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])) + (x*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)])*SinIntegral[((I/2)*a)/b - ArcSin[1 - I*d*x^2]/2])/(4*b^2*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))");

}

// {(a - I*b*ArcSin[1 + I*d*x^2])^(-1), x, 1, -(x*CosIntegral[((I/2)*(a - I*b*ArcSin[1 + I*d*x^2]))/b]*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(2*b*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])) + (x*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)])*SinhIntegral[(a - I*b*ArcSin[1 + I*d*x^2])/(2*b)])/(2*b*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))}
public void test03012() {
	check("Integrate[(a - I*b*ArcSin[1 + I*d*x^2])^(-1), x]", "-(x*CosIntegral[((I/2)*(a - I*b*ArcSin[1 + I*d*x^2]))/b]*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(2*b*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])) + (x*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)])*SinhIntegral[(a - I*b*ArcSin[1 + I*d*x^2])/(2*b)])/(2*b*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))");

}

// {(a - I*b*ArcSin[1 + I*d*x^2])^(-2), x, 1, -Sqrt[(-2*I)*d*x^2 + d^2*x^4]/(2*b*d*x*(a - I*b*ArcSin[1 + I*d*x^2])) + (x*CosIntegral[((I/2)*(a - I*b*ArcSin[1 + I*d*x^2]))/b]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])) - (x*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)])*SinhIntegral[(a - I*b*ArcSin[1 + I*d*x^2])/(2*b)])/(4*b^2*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))}
public void test03013() {
	check("Integrate[(a - I*b*ArcSin[1 + I*d*x^2])^(-2), x]", "-Sqrt[(-2*I)*d*x^2 + d^2*x^4]/(2*b*d*x*(a - I*b*ArcSin[1 + I*d*x^2])) + (x*CosIntegral[((I/2)*(a - I*b*ArcSin[1 + I*d*x^2]))/b]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(4*b^2*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])) - (x*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)])*SinhIntegral[(a - I*b*ArcSin[1 + I*d*x^2])/(2*b)])/(4*b^2*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))");

}

// {Sqrt[a + I*b*ArcSin[1 - I*d*x^2]], x, 1, x*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]] + (Sqrt[Pi]*x*FresnelS[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[(-I)/b]*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])) - (Sqrt[(-I)/b]*b*Sqrt[Pi]*x*FresnelC[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])}
public void test03014() {
	check("Integrate[Sqrt[a + I*b*ArcSin[1 - I*d*x^2]], x]", "x*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]] + (Sqrt[Pi]*x*FresnelS[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[(-I)/b]*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])) - (Sqrt[(-I)/b]*b*Sqrt[Pi]*x*FresnelC[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(I*Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])");

}

// {1/Sqrt[a + I*b*ArcSin[1 - I*d*x^2]], x, 1, -((Sqrt[Pi]*x*FresnelS[Sqrt[a + I*b*ArcSin[1 - I*d*x^2]]/(Sqrt[I*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Sqrt[I*b]*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelC[Sqrt[a + I*b*ArcSin[1 - I*d*x^2]]/(Sqrt[I*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[I*b]*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))}
public void test03015() {
	check("Integrate[1/Sqrt[a + I*b*ArcSin[1 - I*d*x^2]], x]", "-((Sqrt[Pi]*x*FresnelS[Sqrt[a + I*b*ArcSin[1 - I*d*x^2]]/(Sqrt[I*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Sqrt[I*b]*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelC[Sqrt[a + I*b*ArcSin[1 - I*d*x^2]]/(Sqrt[I*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[I*b]*(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]))");

}

// {(a + I*b*ArcSin[1 - I*d*x^2])^(-3/2), x, 1, -(Sqrt[(2*I)*d*x^2 + d^2*x^4]/(b*d*x*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])) - (((-I)/b)^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]) + (((-I)/b)^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])}
public void test03016() {
	check("Integrate[(a + I*b*ArcSin[1 - I*d*x^2])^(-3/2), x]", "-(Sqrt[(2*I)*d*x^2 + d^2*x^4]/(b*d*x*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])) - (((-I)/b)^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2]) + (((-I)/b)^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[(-I)/b]*Sqrt[a + I*b*ArcSin[1 - I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 - I*d*x^2]/2] - Sin[ArcSin[1 - I*d*x^2]/2])");

}

// {Sqrt[a - I*b*ArcSin[1 + I*d*x^2]], x, 1, x*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]] + (Sqrt[Pi]*x*FresnelS[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Sqrt[I/b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])) - (Sqrt[Pi]*x*FresnelC[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[I/b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))}
public void test03017() {
	check("Integrate[Sqrt[a - I*b*ArcSin[1 + I*d*x^2]], x]", "x*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]] + (Sqrt[Pi]*x*FresnelS[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Sqrt[I/b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])) - (Sqrt[Pi]*x*FresnelC[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[I/b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))");

}

// {1/Sqrt[a - I*b*ArcSin[1 + I*d*x^2]], x, 1, -((Sqrt[Pi]*x*FresnelC[Sqrt[a - I*b*ArcSin[1 + I*d*x^2]]/(Sqrt[(-I)*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Sqrt[(-I)*b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelS[Sqrt[a - I*b*ArcSin[1 + I*d*x^2]]/(Sqrt[(-I)*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[(-I)*b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))}
public void test03018() {
	check("Integrate[1/Sqrt[a - I*b*ArcSin[1 + I*d*x^2]], x]", "-((Sqrt[Pi]*x*FresnelC[Sqrt[a - I*b*ArcSin[1 + I*d*x^2]]/(Sqrt[(-I)*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Sqrt[(-I)*b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))) - (Sqrt[Pi]*x*FresnelS[Sqrt[a - I*b*ArcSin[1 + I*d*x^2]]/(Sqrt[(-I)*b]*Sqrt[Pi])]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Sqrt[(-I)*b]*(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]))");

}

// {(a - I*b*ArcSin[1 + I*d*x^2])^(-3/2), x, 1, -(Sqrt[(-2*I)*d*x^2 + d^2*x^4]/(b*d*x*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])) + ((I/b)^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]) - ((I/b)^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])}
public void test03019() {
	check("Integrate[(a - I*b*ArcSin[1 + I*d*x^2])^(-3/2), x]", "-(Sqrt[(-2*I)*d*x^2 + d^2*x^4]/(b*d*x*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])) + ((I/b)^(3/2)*Sqrt[Pi]*x*FresnelS[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] - I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2]) - ((I/b)^(3/2)*Sqrt[Pi]*x*FresnelC[(Sqrt[I/b]*Sqrt[a - I*b*ArcSin[1 + I*d*x^2]])/Sqrt[Pi]]*(Cosh[a/(2*b)] + I*Sinh[a/(2*b)]))/(Cos[ArcSin[1 + I*d*x^2]/2] - Sin[ArcSin[1 + I*d*x^2]/2])");

}

// {x^m*ArcCosh[a*x]^4, x, 1, (x^(1 + m)*ArcCosh[a*x]^4)/(1 + m) - (4*a*Unintegrable[(x^(1 + m)*ArcCosh[a*x]^3)/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/(1 + m)}
public void test03020() {
	check("Integrate[x^m*ArcCosh[a*x]^4, x]", "(x^(1 + m)*ArcCosh[a*x]^4)/(1 + m) - (4*a*Unintegrable[(x^(1 + m)*ArcCosh[a*x]^3)/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/(1 + m)");

}

// {x^m*ArcCosh[a*x]^3, x, 1, (x^(1 + m)*ArcCosh[a*x]^3)/(1 + m) - (3*a*Unintegrable[(x^(1 + m)*ArcCosh[a*x]^2)/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/(1 + m)}
public void test03021() {
	check("Integrate[x^m*ArcCosh[a*x]^3, x]", "(x^(1 + m)*ArcCosh[a*x]^3)/(1 + m) - (3*a*Unintegrable[(x^(1 + m)*ArcCosh[a*x]^2)/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/(1 + m)");

}

// {(f*x)^m*(d - c^2*d*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2, x, 1, (d^2*Sqrt[d - c^2*d*x^2]*Unintegrable[(f*x)^m*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03022() {
	check("Integrate[(f*x)^m*(d - c^2*d*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2, x]", "(d^2*Sqrt[d - c^2*d*x^2]*Unintegrable[(f*x)^m*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(f*x)^m*(d - c^2*d*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2, x, 1, -((d*Sqrt[d - c^2*d*x^2]*Unintegrable[(f*x)^m*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03023() {
	check("Integrate[(f*x)^m*(d - c^2*d*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2, x]", "-((d*Sqrt[d - c^2*d*x^2]*Unintegrable[(f*x)^m*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(f*x)^m*Sqrt[d - c^2*d*x^2]*(a + b*ArcCosh[c*x])^2, x, 1, (Sqrt[d - c^2*d*x^2]*Unintegrable[(f*x)^m*Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03024() {
	check("Integrate[(f*x)^m*Sqrt[d - c^2*d*x^2]*(a + b*ArcCosh[c*x])^2, x]", "(Sqrt[d - c^2*d*x^2]*Unintegrable[(f*x)^m*Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {((f*x)^m*(a + b*ArcCosh[c*x])^2)/Sqrt[d - c^2*d*x^2], x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^2)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[d - c^2*d*x^2]}
public void test03025() {
	check("Integrate[((f*x)^m*(a + b*ArcCosh[c*x])^2)/Sqrt[d - c^2*d*x^2], x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^2)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[d - c^2*d*x^2]");

}

// {((f*x)^m*(a + b*ArcCosh[c*x])^2)/(d - c^2*d*x^2)^(3/2), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^2)/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)), x])/(d*Sqrt[d - c^2*d*x^2]))}
public void test03026() {
	check("Integrate[((f*x)^m*(a + b*ArcCosh[c*x])^2)/(d - c^2*d*x^2)^(3/2), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^2)/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)), x])/(d*Sqrt[d - c^2*d*x^2]))");

}

// {((f*x)^m*(a + b*ArcCosh[c*x])^2)/(d - c^2*d*x^2)^(5/2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^2)/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)), x])/(d^2*Sqrt[d - c^2*d*x^2])}
public void test03027() {
	check("Integrate[((f*x)^m*(a + b*ArcCosh[c*x])^2)/(d - c^2*d*x^2)^(5/2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^2)/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)), x])/(d^2*Sqrt[d - c^2*d*x^2])");

}

// {((f*x)^m*ArcCosh[c*x]^2)/Sqrt[1 - c^2*x^2], x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*ArcCosh[c*x]^2)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[1 - c^2*x^2]}
public void test03028() {
	check("Integrate[((f*x)^m*ArcCosh[c*x]^2)/Sqrt[1 - c^2*x^2], x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*ArcCosh[c*x]^2)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[1 - c^2*x^2]");

}

// {((f*x)^m*(a + b*ArcCosh[c*x])^3)/Sqrt[1 - c^2*x^2], x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^3)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[1 - c^2*x^2]}
public void test03029() {
	check("Integrate[((f*x)^m*(a + b*ArcCosh[c*x])^3)/Sqrt[1 - c^2*x^2], x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((f*x)^m*(a + b*ArcCosh[c*x])^3)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[1 - c^2*x^2]");

}

// {Sqrt[1 - c^2*x^2]/(x^3*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^3*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03030() {
	check("Integrate[Sqrt[1 - c^2*x^2]/(x^3*(a + b*ArcCosh[c*x])), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^3*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {Sqrt[1 - c^2*x^2]/(x^4*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^4*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03031() {
	check("Integrate[Sqrt[1 - c^2*x^2]/(x^4*(a + b*ArcCosh[c*x])), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^4*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(1 - c^2*x^2)^(3/2)/(x^3*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^3*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03032() {
	check("Integrate[(1 - c^2*x^2)^(3/2)/(x^3*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^3*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(1 - c^2*x^2)^(3/2)/(x^4*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^4*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03033() {
	check("Integrate[(1 - c^2*x^2)^(3/2)/(x^4*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^4*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(1 - c^2*x^2)^(5/2)/(x^3*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^3*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03034() {
	check("Integrate[(1 - c^2*x^2)^(5/2)/(x^3*(a + b*ArcCosh[c*x])), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^3*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(1 - c^2*x^2)^(5/2)/(x^4*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^4*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03035() {
	check("Integrate[(1 - c^2*x^2)^(5/2)/(x^4*(a + b*ArcCosh[c*x])), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^4*(a + b*ArcCosh[c*x])), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {1/(x*Sqrt[1 - a^2*x^2]*ArcCosh[a*x]), x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/(x*Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]), x])/Sqrt[1 - a^2*x^2]}
public void test03036() {
	check("Integrate[1/(x*Sqrt[1 - a^2*x^2]*ArcCosh[a*x]), x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/(x*Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]), x])/Sqrt[1 - a^2*x^2]");

}

// {1/(x^2*Sqrt[1 - a^2*x^2]*ArcCosh[a*x]), x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/(x^2*Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]), x])/Sqrt[1 - a^2*x^2]}
public void test03037() {
	check("Integrate[1/(x^2*Sqrt[1 - a^2*x^2]*ArcCosh[a*x]), x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/(x^2*Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]), x])/Sqrt[1 - a^2*x^2]");

}

// {1/(x*Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03038() {
	check("Integrate[1/(x*Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {1/(x^2*Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03039() {
	check("Integrate[1/(x^2*Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {x^2/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^2/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])}
public void test03040() {
	check("Integrate[x^2/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^2/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])");

}

// {x/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])}
public void test03041() {
	check("Integrate[x/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])");

}

// {1/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])}
public void test03042() {
	check("Integrate[1/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])");

}

// {1/(x*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])}
public void test03043() {
	check("Integrate[1/(x*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])");

}

// {1/(x^2*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])}
public void test03044() {
	check("Integrate[1/(x^2*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])");

}

// {x^2/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^2/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03045() {
	check("Integrate[x^2/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^2/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {x/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03046() {
	check("Integrate[x/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {1/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03047() {
	check("Integrate[1/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {1/(x*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03048() {
	check("Integrate[1/(x*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {1/(x^2*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03049() {
	check("Integrate[1/(x^2*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {(x^m*(1 - c^2*x^2)^(5/2))/(a + b*ArcCosh[c*x]), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(a + b*ArcCosh[c*x]), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03050() {
	check("Integrate[(x^m*(1 - c^2*x^2)^(5/2))/(a + b*ArcCosh[c*x]), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(a + b*ArcCosh[c*x]), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(x^m*(1 - c^2*x^2)^(3/2))/(a + b*ArcCosh[c*x]), x, 1, -((Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(a + b*ArcCosh[c*x]), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03051() {
	check("Integrate[(x^m*(1 - c^2*x^2)^(3/2))/(a + b*ArcCosh[c*x]), x]", "-((Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(a + b*ArcCosh[c*x]), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(x^m*Sqrt[1 - c^2*x^2])/(a + b*ArcCosh[c*x]), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(a + b*ArcCosh[c*x]), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03052() {
	check("Integrate[(x^m*Sqrt[1 - c^2*x^2])/(a + b*ArcCosh[c*x]), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(a + b*ArcCosh[c*x]), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {x^m/(Sqrt[1 - a^2*x^2]*ArcCosh[a*x]), x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[x^m/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]), x])/Sqrt[1 - a^2*x^2]}
public void test03053() {
	check("Integrate[x^m/(Sqrt[1 - a^2*x^2]*ArcCosh[a*x]), x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[x^m/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]), x])/Sqrt[1 - a^2*x^2]");

}

// {x^m/(Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03054() {
	check("Integrate[x^m/(Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {x^m/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])}
public void test03055() {
	check("Integrate[x^m/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2])");

}

// {x^m/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03056() {
	check("Integrate[x^m/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {1/((c - a^2*c*x^2)*ArcCosh[a*x]^2), x, 1, 1/(a*c*Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]) + (a*Unintegrable[x/((-1 + a*x)^(3/2)*(1 + a*x)^(3/2)*ArcCosh[a*x]), x])/c}
public void test03057() {
	check("Integrate[1/((c - a^2*c*x^2)*ArcCosh[a*x]^2), x]", "1/(a*c*Sqrt[-1 + a*x]*Sqrt[1 + a*x]*ArcCosh[a*x]) + (a*Unintegrable[x/((-1 + a*x)^(3/2)*(1 + a*x)^(3/2)*ArcCosh[a*x]), x])/c");

}

// {1/((c - a^2*c*x^2)^2*ArcCosh[a*x]^2), x, 1, -(1/(a*c^2*(-1 + a*x)^(3/2)*(1 + a*x)^(3/2)*ArcCosh[a*x])) - (3*a*Unintegrable[x/((-1 + a*x)^(5/2)*(1 + a*x)^(5/2)*ArcCosh[a*x]), x])/c^2}
public void test03058() {
	check("Integrate[1/((c - a^2*c*x^2)^2*ArcCosh[a*x]^2), x]", "-(1/(a*c^2*(-1 + a*x)^(3/2)*(1 + a*x)^(3/2)*ArcCosh[a*x])) - (3*a*Unintegrable[x/((-1 + a*x)^(5/2)*(1 + a*x)^(5/2)*ArcCosh[a*x]), x])/c^2");

}

// {Sqrt[1 - c^2*x^2]/(x^3*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^3*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03059() {
	check("Integrate[Sqrt[1 - c^2*x^2]/(x^3*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^3*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {Sqrt[1 - c^2*x^2]/(x^4*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^4*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03060() {
	check("Integrate[Sqrt[1 - c^2*x^2]/(x^4*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(x^4*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(1 - c^2*x^2)^(3/2)/(x^3*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^3*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03061() {
	check("Integrate[(1 - c^2*x^2)^(3/2)/(x^3*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^3*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(1 - c^2*x^2)^(3/2)/(x^5*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^5*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03062() {
	check("Integrate[(1 - c^2*x^2)^(3/2)/(x^5*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(x^5*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(1 - c^2*x^2)^(5/2)/(x^3*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^3*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03063() {
	check("Integrate[(1 - c^2*x^2)^(5/2)/(x^3*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^3*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(1 - c^2*x^2)^(5/2)/(x^4*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^4*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03064() {
	check("Integrate[(1 - c^2*x^2)^(5/2)/(x^4*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[((-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(x^4*(a + b*ArcCosh[c*x])^2), x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {x^3/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^3/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])}
public void test03065() {
	check("Integrate[x^3/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^3/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])");

}

// {x/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])}
public void test03066() {
	check("Integrate[x/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])");

}

// {1/(x*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])}
public void test03067() {
	check("Integrate[1/(x*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])");

}

// {1/(x^2*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])}
public void test03068() {
	check("Integrate[1/(x^2*(1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])");

}

// {x^3/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^3/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]}
public void test03069() {
	check("Integrate[x^3/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^3/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]");

}

// {x^2/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^2/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]}
public void test03070() {
	check("Integrate[x^2/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^2/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]");

}

// {x/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]}
public void test03071() {
	check("Integrate[x/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]");

}

// {1/(x*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]}
public void test03072() {
	check("Integrate[1/(x*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]");

}

// {1/(x^2*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]}
public void test03073() {
	check("Integrate[1/(x^2*(1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[1/(x^2*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]");

}

// {(x^m*(1 - c^2*x^2)^(5/2))/(a + b*ArcCosh[c*x])^2, x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03074() {
	check("Integrate[(x^m*(1 - c^2*x^2)^(5/2))/(a + b*ArcCosh[c*x])^2, x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(5/2)*(1 + c*x)^(5/2))/(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {(x^m*(1 - c^2*x^2)^(3/2))/(a + b*ArcCosh[c*x])^2, x, 1, -((Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))}
public void test03075() {
	check("Integrate[(x^m*(1 - c^2*x^2)^(3/2))/(a + b*ArcCosh[c*x])^2, x]", "-((Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*(-1 + c*x)^(3/2)*(1 + c*x)^(3/2))/(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]))");

}

// {(x^m*Sqrt[1 - c^2*x^2])/(a + b*ArcCosh[c*x])^2, x, 1, (Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])}
public void test03076() {
	check("Integrate[(x^m*Sqrt[1 - c^2*x^2])/(a + b*ArcCosh[c*x])^2, x]", "(Sqrt[1 - c^2*x^2]*Unintegrable[(x^m*Sqrt[-1 + c*x]*Sqrt[1 + c*x])/(a + b*ArcCosh[c*x])^2, x])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x])");

}

// {x^m/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x, 1, -((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])}
public void test03077() {
	check("Integrate[x^m/((1 - c^2*x^2)^(3/2)*(a + b*ArcCosh[c*x])^2), x]", "-((Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(3/2)*(1 + c*x)^(3/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2])");

}

// {x^m/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]}
public void test03078() {
	check("Integrate[x^m/((1 - c^2*x^2)^(5/2)*(a + b*ArcCosh[c*x])^2), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[x^m/((-1 + c*x)^(5/2)*(1 + c*x)^(5/2)*(a + b*ArcCosh[c*x])^2), x])/Sqrt[1 - c^2*x^2]");

}

// {(x^m*ArcCosh[a*x]^n)/Sqrt[1 - a^2*x^2], x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[(x^m*ArcCosh[a*x]^n)/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/Sqrt[1 - a^2*x^2]}
public void test03079() {
	check("Integrate[(x^m*ArcCosh[a*x]^n)/Sqrt[1 - a^2*x^2], x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[(x^m*ArcCosh[a*x]^n)/(Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/Sqrt[1 - a^2*x^2]");

}

// {ArcCosh[a*x]^n/(x*Sqrt[1 - a^2*x^2]), x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[ArcCosh[a*x]^n/(x*Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/Sqrt[1 - a^2*x^2]}
public void test03080() {
	check("Integrate[ArcCosh[a*x]^n/(x*Sqrt[1 - a^2*x^2]), x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[ArcCosh[a*x]^n/(x*Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/Sqrt[1 - a^2*x^2]");

}

// {ArcCosh[a*x]^n/(x^2*Sqrt[1 - a^2*x^2]), x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[ArcCosh[a*x]^n/(x^2*Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/Sqrt[1 - a^2*x^2]}
public void test03081() {
	check("Integrate[ArcCosh[a*x]^n/(x^2*Sqrt[1 - a^2*x^2]), x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[ArcCosh[a*x]^n/(x^2*Sqrt[-1 + a*x]*Sqrt[1 + a*x]), x])/Sqrt[1 - a^2*x^2]");

}

// {1/((c - a^2*c*x^2)^(3/2)*Sqrt[ArcCosh[a*x]]), x, 1, -((Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/((-1 + a*x)^(3/2)*(1 + a*x)^(3/2)*Sqrt[ArcCosh[a*x]]), x])/(c*Sqrt[c - a^2*c*x^2]))}
public void test03082() {
	check("Integrate[1/((c - a^2*c*x^2)^(3/2)*Sqrt[ArcCosh[a*x]]), x]", "-((Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/((-1 + a*x)^(3/2)*(1 + a*x)^(3/2)*Sqrt[ArcCosh[a*x]]), x])/(c*Sqrt[c - a^2*c*x^2]))");

}

// {1/((c - a^2*c*x^2)^(5/2)*Sqrt[ArcCosh[a*x]]), x, 1, (Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/((-1 + a*x)^(5/2)*(1 + a*x)^(5/2)*Sqrt[ArcCosh[a*x]]), x])/(c^2*Sqrt[c - a^2*c*x^2])}
public void test03083() {
	check("Integrate[1/((c - a^2*c*x^2)^(5/2)*Sqrt[ArcCosh[a*x]]), x]", "(Sqrt[-1 + a*x]*Sqrt[1 + a*x]*Unintegrable[1/((-1 + a*x)^(5/2)*(1 + a*x)^(5/2)*Sqrt[ArcCosh[a*x]]), x])/(c^2*Sqrt[c - a^2*c*x^2])");

}

// {(d + e*x)^m*(a + b*ArcCosh[c*x])^3, x, 1, ((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x])^3)/(e*(1 + m)) - (3*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x])^2)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/(e*(1 + m))}
public void test03084() {
	check("Integrate[(d + e*x)^m*(a + b*ArcCosh[c*x])^3, x]", "((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x])^3)/(e*(1 + m)) - (3*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x])^2)/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/(e*(1 + m))");

}

// {(d + e*x)^m*(a + b*ArcCosh[c*x])^2, x, 1, ((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x])^2)/(e*(1 + m)) - (2*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x]))/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/(e*(1 + m))}
public void test03085() {
	check("Integrate[(d + e*x)^m*(a + b*ArcCosh[c*x])^2, x]", "((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x])^2)/(e*(1 + m)) - (2*b*c*Unintegrable[((d + e*x)^(1 + m)*(a + b*ArcCosh[c*x]))/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/(e*(1 + m))");

}

// {((a + b*ArcCosh[c*x])^n*Log[h*(f + g*x)^m])/Sqrt[1 - c^2*x^2], x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((a + b*ArcCosh[c*x])^n*Log[h*(f + g*x)^m])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[1 - c^2*x^2]}
public void test03086() {
	check("Integrate[((a + b*ArcCosh[c*x])^n*Log[h*(f + g*x)^m])/Sqrt[1 - c^2*x^2], x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[((a + b*ArcCosh[c*x])^n*Log[h*(f + g*x)^m])/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]), x])/Sqrt[1 - c^2*x^2]");

}

// {Log[h*(f + g*x)^m]/(Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x, 1, (Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[Log[h*(f + g*x)^m]/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]}
public void test03087() {
	check("Integrate[Log[h*(f + g*x)^m]/(Sqrt[1 - c^2*x^2]*(a + b*ArcCosh[c*x])), x]", "(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*Unintegrable[Log[h*(f + g*x)^m]/(Sqrt[-1 + c*x]*Sqrt[1 + c*x]*(a + b*ArcCosh[c*x])), x])/Sqrt[1 - c^2*x^2]");

}

// {(c*e + d*e*x)^m/(a + b*ArcCosh[c + d*x]), x, 1, Unintegrable[(e*(c + d*x))^m/(a + b*ArcCosh[c + d*x]), x]}
public void test03088() {
	check("Integrate[(c*e + d*e*x)^m/(a + b*ArcCosh[c + d*x]), x]", "Unintegrable[(e*(c + d*x))^m/(a + b*ArcCosh[c + d*x]), x]");

}

// {(a + b*ArcCosh[1 + d*x^2])^(-1), x, 1, (x*Cosh[a/(2*b)]*CoshIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2]) - (x*Sinh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])}
public void test03089() {
	check("Integrate[(a + b*ArcCosh[1 + d*x^2])^(-1), x]", "(x*Cosh[a/(2*b)]*CoshIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2]) - (x*Sinh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])");

}

// {(a + b*ArcCosh[1 + d*x^2])^(-2), x, 1, -(Sqrt[d*x^2]*Sqrt[2 + d*x^2])/(2*b*d*x*(a + b*ArcCosh[1 + d*x^2])) - (x*CoshIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)]*Sinh[a/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2]) + (x*Cosh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2])}
public void test03090() {
	check("Integrate[(a + b*ArcCosh[1 + d*x^2])^(-2), x]", "-(Sqrt[d*x^2]*Sqrt[2 + d*x^2])/(2*b*d*x*(a + b*ArcCosh[1 + d*x^2])) - (x*CoshIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)]*Sinh[a/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2]) + (x*Cosh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2])");

}

// {(a + b*ArcCosh[-1 + d*x^2])^(-1), x, 1, -((x*CoshIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)]*Sinh[a/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])) + (x*Cosh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])}
public void test03091() {
	check("Integrate[(a + b*ArcCosh[-1 + d*x^2])^(-1), x]", "-((x*CoshIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)]*Sinh[a/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])) + (x*Cosh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)])/(Sqrt[2]*b*Sqrt[d*x^2])");

}

// {(a + b*ArcCosh[-1 + d*x^2])^(-2), x, 1, -(Sqrt[d*x^2]*Sqrt[-2 + d*x^2])/(2*b*d*x*(a + b*ArcCosh[-1 + d*x^2])) + (x*Cosh[a/(2*b)]*CoshIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2]) - (x*Sinh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2])}
public void test03092() {
	check("Integrate[(a + b*ArcCosh[-1 + d*x^2])^(-2), x]", "-(Sqrt[d*x^2]*Sqrt[-2 + d*x^2])/(2*b*d*x*(a + b*ArcCosh[-1 + d*x^2])) + (x*Cosh[a/(2*b)]*CoshIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2]) - (x*Sinh[a/(2*b)]*SinhIntegral[(a + b*ArcCosh[-1 + d*x^2])/(2*b)])/(2*Sqrt[2]*b^2*Sqrt[d*x^2])");

}

// {Sqrt[a + b*ArcCosh[1 + d*x^2]], x, 1, -((Sqrt[b]*Sqrt[Pi/2]*Erfi[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(d*x)) + (Sqrt[b]*Sqrt[Pi/2]*Erf[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(d*x) + (2*Sqrt[a + b*ArcCosh[1 + d*x^2]]*Sinh[ArcCosh[1 + d*x^2]/2]^2)/(d*x)}
public void test03093() {
	check("Integrate[Sqrt[a + b*ArcCosh[1 + d*x^2]], x]", "-((Sqrt[b]*Sqrt[Pi/2]*Erfi[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(d*x)) + (Sqrt[b]*Sqrt[Pi/2]*Erf[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(d*x) + (2*Sqrt[a + b*ArcCosh[1 + d*x^2]]*Sinh[ArcCosh[1 + d*x^2]/2]^2)/(d*x)");

}

// {1/Sqrt[a + b*ArcCosh[1 + d*x^2]], x, 1, (Sqrt[Pi/2]*Erfi[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(Sqrt[b]*d*x) + (Sqrt[Pi/2]*Erf[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(Sqrt[b]*d*x)}
public void test03094() {
	check("Integrate[1/Sqrt[a + b*ArcCosh[1 + d*x^2]], x]", "(Sqrt[Pi/2]*Erfi[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(Sqrt[b]*d*x) + (Sqrt[Pi/2]*Erf[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(Sqrt[b]*d*x)");

}

// {(a + b*ArcCosh[1 + d*x^2])^(-3/2), x, 1, -((Sqrt[d*x^2]*Sqrt[2 + d*x^2])/(b*d*x*Sqrt[a + b*ArcCosh[1 + d*x^2]])) + (Sqrt[Pi/2]*Erfi[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(b^(3/2)*d*x) - (Sqrt[Pi/2]*Erf[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(b^(3/2)*d*x)}
public void test03095() {
	check("Integrate[(a + b*ArcCosh[1 + d*x^2])^(-3/2), x]", "-((Sqrt[d*x^2]*Sqrt[2 + d*x^2])/(b*d*x*Sqrt[a + b*ArcCosh[1 + d*x^2]])) + (Sqrt[Pi/2]*Erfi[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(b^(3/2)*d*x) - (Sqrt[Pi/2]*Erf[Sqrt[a + b*ArcCosh[1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)])*Sinh[ArcCosh[1 + d*x^2]/2])/(b^(3/2)*d*x)");

}

// {Sqrt[a + b*ArcCosh[-1 + d*x^2]], x, 1, (2*Sqrt[a + b*ArcCosh[-1 + d*x^2]]*Cosh[ArcCosh[-1 + d*x^2]/2]^2)/(d*x) - (Sqrt[b]*Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erfi[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(d*x) - (Sqrt[b]*Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erf[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(d*x)}
public void test03096() {
	check("Integrate[Sqrt[a + b*ArcCosh[-1 + d*x^2]], x]", "(2*Sqrt[a + b*ArcCosh[-1 + d*x^2]]*Cosh[ArcCosh[-1 + d*x^2]/2]^2)/(d*x) - (Sqrt[b]*Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erfi[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(d*x) - (Sqrt[b]*Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erf[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(d*x)");

}

// {1/Sqrt[a + b*ArcCosh[-1 + d*x^2]], x, 1, (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erfi[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(Sqrt[b]*d*x) - (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erf[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(Sqrt[b]*d*x)}
public void test03097() {
	check("Integrate[1/Sqrt[a + b*ArcCosh[-1 + d*x^2]], x]", "(Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erfi[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(Sqrt[b]*d*x) - (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erf[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(Sqrt[b]*d*x)");

}

// {(a + b*ArcCosh[-1 + d*x^2])^(-3/2), x, 1, -((Sqrt[d*x^2]*Sqrt[-2 + d*x^2])/(b*d*x*Sqrt[a + b*ArcCosh[-1 + d*x^2]])) + (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erfi[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(b^(3/2)*d*x) + (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erf[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(b^(3/2)*d*x)}
public void test03098() {
	check("Integrate[(a + b*ArcCosh[-1 + d*x^2])^(-3/2), x]", "-((Sqrt[d*x^2]*Sqrt[-2 + d*x^2])/(b*d*x*Sqrt[a + b*ArcCosh[-1 + d*x^2]])) + (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erfi[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] - Sinh[a/(2*b)]))/(b^(3/2)*d*x) + (Sqrt[Pi/2]*Cosh[ArcCosh[-1 + d*x^2]/2]*Erf[Sqrt[a + b*ArcCosh[-1 + d*x^2]]/(Sqrt[2]*Sqrt[b])]*(Cosh[a/(2*b)] + Sinh[a/(2*b)]))/(b^(3/2)*d*x)");

}

// {(a + b*ArcTanh[c*x])/x, x, 1, a*Log[x] - (b*PolyLog[2, -(c*x)])/2 + (b*PolyLog[2, c*x])/2}
public void test03099() {
	check("Integrate[(a + b*ArcTanh[c*x])/x, x]", "a*Log[x] - (b*PolyLog[2, -(c*x)])/2 + (b*PolyLog[2, c*x])/2");

}

// {(a + b*ArcTanh[c*x])^2/(d + e*x), x, 1, -(((a + b*ArcTanh[c*x])^2*Log[2/(1 + c*x)])/e) + ((a + b*ArcTanh[c*x])^2*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - 2/(1 + c*x)])/e - (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b^2*PolyLog[3, 1 - 2/(1 + c*x)])/(2*e) - (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e)}
public void test03100() {
	check("Integrate[(a + b*ArcTanh[c*x])^2/(d + e*x), x]", "-(((a + b*ArcTanh[c*x])^2*Log[2/(1 + c*x)])/e) + ((a + b*ArcTanh[c*x])^2*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - 2/(1 + c*x)])/e - (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b^2*PolyLog[3, 1 - 2/(1 + c*x)])/(2*e) - (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e)");

}

// {(a + b*ArcTanh[c*x])^3/(d + e*x), x, 1, -(((a + b*ArcTanh[c*x])^3*Log[2/(1 + c*x)])/e) + ((a + b*ArcTanh[c*x])^3*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (3*b*(a + b*ArcTanh[c*x])^2*PolyLog[2, 1 - 2/(1 + c*x)])/(2*e) - (3*b*(a + b*ArcTanh[c*x])^2*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e) + (3*b^2*(a + b*ArcTanh[c*x])*PolyLog[3, 1 - 2/(1 + c*x)])/(2*e) - (3*b^2*(a + b*ArcTanh[c*x])*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e) + (3*b^3*PolyLog[4, 1 - 2/(1 + c*x)])/(4*e) - (3*b^3*PolyLog[4, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(4*e)}
public void test03101() {
	check("Integrate[(a + b*ArcTanh[c*x])^3/(d + e*x), x]", "-(((a + b*ArcTanh[c*x])^3*Log[2/(1 + c*x)])/e) + ((a + b*ArcTanh[c*x])^3*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (3*b*(a + b*ArcTanh[c*x])^2*PolyLog[2, 1 - 2/(1 + c*x)])/(2*e) - (3*b*(a + b*ArcTanh[c*x])^2*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e) + (3*b^2*(a + b*ArcTanh[c*x])*PolyLog[3, 1 - 2/(1 + c*x)])/(2*e) - (3*b^2*(a + b*ArcTanh[c*x])*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e) + (3*b^3*PolyLog[4, 1 - 2/(1 + c*x)])/(4*e) - (3*b^3*PolyLog[4, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(4*e)");

}

// {(a + b*ArcTanh[c*x])^2/(d + e*x), x, 1, -(((a + b*ArcTanh[c*x])^2*Log[2/(1 + c*x)])/e) + ((a + b*ArcTanh[c*x])^2*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - 2/(1 + c*x)])/e - (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b^2*PolyLog[3, 1 - 2/(1 + c*x)])/(2*e) - (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e)}
public void test03102() {
	check("Integrate[(a + b*ArcTanh[c*x])^2/(d + e*x), x]", "-(((a + b*ArcTanh[c*x])^2*Log[2/(1 + c*x)])/e) + ((a + b*ArcTanh[c*x])^2*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - 2/(1 + c*x)])/e - (b*(a + b*ArcTanh[c*x])*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (b^2*PolyLog[3, 1 - 2/(1 + c*x)])/(2*e) - (b^2*PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/(2*e)");

}

// {ArcTanh[a*x]/(1 - a^2*x^2), x, 1, ArcTanh[a*x]^2/(2*a)}
public void test03103() {
	check("Integrate[ArcTanh[a*x]/(1 - a^2*x^2), x]", "ArcTanh[a*x]^2/(2*a)");

}

// {ArcTanh[a*x]^2/(1 - a^2*x^2), x, 1, ArcTanh[a*x]^3/(3*a)}
public void test03104() {
	check("Integrate[ArcTanh[a*x]^2/(1 - a^2*x^2), x]", "ArcTanh[a*x]^3/(3*a)");

}

// {ArcTanh[a*x]^3/(1 - a^2*x^2), x, 1, ArcTanh[a*x]^4/(4*a)}
public void test03105() {
	check("Integrate[ArcTanh[a*x]^3/(1 - a^2*x^2), x]", "ArcTanh[a*x]^4/(4*a)");

}

// {Sqrt[ArcTanh[a*x]]/(1 - a^2*x^2), x, 1, (2*ArcTanh[a*x]^(3/2))/(3*a)}
public void test03106() {
	check("Integrate[Sqrt[ArcTanh[a*x]]/(1 - a^2*x^2), x]", "(2*ArcTanh[a*x]^(3/2))/(3*a)");

}

// {1/((1 - a^2*x^2)*ArcTanh[a*x]), x, 1, Log[ArcTanh[a*x]]/a}
public void test03107() {
	check("Integrate[1/((1 - a^2*x^2)*ArcTanh[a*x]), x]", "Log[ArcTanh[a*x]]/a");

}

// {x/((1 - a^2*x^2)*ArcTanh[a*x]^2), x, 1, -(x/(a*ArcTanh[a*x])) + Unintegrable[ArcTanh[a*x]^(-1), x]/a}
public void test03108() {
	check("Integrate[x/((1 - a^2*x^2)*ArcTanh[a*x]^2), x]", "-(x/(a*ArcTanh[a*x])) + Unintegrable[ArcTanh[a*x]^(-1), x]/a");

}

// {1/((1 - a^2*x^2)*ArcTanh[a*x]^2), x, 1, -(1/(a*ArcTanh[a*x]))}
public void test03109() {
	check("Integrate[1/((1 - a^2*x^2)*ArcTanh[a*x]^2), x]", "-(1/(a*ArcTanh[a*x]))");

}

// {1/(x*(1 - a^2*x^2)*ArcTanh[a*x]^2), x, 1, -(1/(a*x*ArcTanh[a*x])) - Unintegrable[1/(x^2*ArcTanh[a*x]), x]/a}
public void test03110() {
	check("Integrate[1/(x*(1 - a^2*x^2)*ArcTanh[a*x]^2), x]", "-(1/(a*x*ArcTanh[a*x])) - Unintegrable[1/(x^2*ArcTanh[a*x]), x]/a");

}

// {x/((1 - a^2*x^2)*ArcTanh[a*x]^3), x, 1, -x/(2*a*ArcTanh[a*x]^2) + Unintegrable[ArcTanh[a*x]^(-2), x]/(2*a)}
public void test03111() {
	check("Integrate[x/((1 - a^2*x^2)*ArcTanh[a*x]^3), x]", "-x/(2*a*ArcTanh[a*x]^2) + Unintegrable[ArcTanh[a*x]^(-2), x]/(2*a)");

}

// {1/((1 - a^2*x^2)*ArcTanh[a*x]^3), x, 1, -1/(2*a*ArcTanh[a*x]^2)}
public void test03112() {
	check("Integrate[1/((1 - a^2*x^2)*ArcTanh[a*x]^3), x]", "-1/(2*a*ArcTanh[a*x]^2)");

}

// {1/(x*(1 - a^2*x^2)*ArcTanh[a*x]^3), x, 1, -1/(2*a*x*ArcTanh[a*x]^2) - Unintegrable[1/(x^2*ArcTanh[a*x]^2), x]/(2*a)}
public void test03113() {
	check("Integrate[1/(x*(1 - a^2*x^2)*ArcTanh[a*x]^3), x]", "-1/(2*a*x*ArcTanh[a*x]^2) - Unintegrable[1/(x^2*ArcTanh[a*x]^2), x]/(2*a)");

}

// {ArcTanh[a*x]^p/(1 - a^2*x^2), x, 1, ArcTanh[a*x]^(1 + p)/(a*(1 + p))}
public void test03114() {
	check("Integrate[ArcTanh[a*x]^p/(1 - a^2*x^2), x]", "ArcTanh[a*x]^(1 + p)/(a*(1 + p))");

}

// {ArcTanh[a*x]/Sqrt[1 - a^2*x^2], x, 1, (-2*ArcTan[Sqrt[1 - a*x]/Sqrt[1 + a*x]]*ArcTanh[a*x])/a - (I*PolyLog[2, ((-I)*Sqrt[1 - a*x])/Sqrt[1 + a*x]])/a + (I*PolyLog[2, (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]])/a}
public void test03115() {
	check("Integrate[ArcTanh[a*x]/Sqrt[1 - a^2*x^2], x]", "(-2*ArcTan[Sqrt[1 - a*x]/Sqrt[1 + a*x]]*ArcTanh[a*x])/a - (I*PolyLog[2, ((-I)*Sqrt[1 - a*x])/Sqrt[1 + a*x]])/a + (I*PolyLog[2, (I*Sqrt[1 - a*x])/Sqrt[1 + a*x]])/a");

}

// {ArcTanh[a*x]/(x*Sqrt[1 - a^2*x^2]), x, 1, -2*ArcTanh[a*x]*ArcTanh[Sqrt[1 - a*x]/Sqrt[1 + a*x]] + PolyLog[2, -(Sqrt[1 - a*x]/Sqrt[1 + a*x])] - PolyLog[2, Sqrt[1 - a*x]/Sqrt[1 + a*x]]}
public void test03116() {
	check("Integrate[ArcTanh[a*x]/(x*Sqrt[1 - a^2*x^2]), x]", "-2*ArcTanh[a*x]*ArcTanh[Sqrt[1 - a*x]/Sqrt[1 + a*x]] + PolyLog[2, -(Sqrt[1 - a*x]/Sqrt[1 + a*x])] - PolyLog[2, Sqrt[1 - a*x]/Sqrt[1 + a*x]]");

}

// {ArcTanh[a*x]/(1 - a^2*x^2)^(3/2), x, 1, -(1/(a*Sqrt[1 - a^2*x^2])) + (x*ArcTanh[a*x])/Sqrt[1 - a^2*x^2]}
public void test03117() {
	check("Integrate[ArcTanh[a*x]/(1 - a^2*x^2)^(3/2), x]", "-(1/(a*Sqrt[1 - a^2*x^2])) + (x*ArcTanh[a*x])/Sqrt[1 - a^2*x^2]");

}

// {ArcTanh[a*x]/(c - a^2*c*x^2)^(3/2), x, 1, -(1/(a*c*Sqrt[c - a^2*c*x^2])) + (x*ArcTanh[a*x])/(c*Sqrt[c - a^2*c*x^2])}
public void test03118() {
	check("Integrate[ArcTanh[a*x]/(c - a^2*c*x^2)^(3/2), x]", "-(1/(a*c*Sqrt[c - a^2*c*x^2])) + (x*ArcTanh[a*x])/(c*Sqrt[c - a^2*c*x^2])");

}

// {1/((a - a*x^2)*(b - 2*b*ArcTanh[x])), x, 1, -Log[1 - 2*ArcTanh[x]]/(2*a*b)}
public void test03119() {
	check("Integrate[1/((a - a*x^2)*(b - 2*b*ArcTanh[x])), x]", "-Log[1 - 2*ArcTanh[x]]/(2*a*b)");

}

// {ArcTanh[x]/(a - a*x^2)^(3/2), x, 1, -(1/(a*Sqrt[a - a*x^2])) + (x*ArcTanh[x])/(a*Sqrt[a - a*x^2])}
public void test03120() {
	check("Integrate[ArcTanh[x]/(a - a*x^2)^(3/2), x]", "-(1/(a*Sqrt[a - a*x^2])) + (x*ArcTanh[x])/(a*Sqrt[a - a*x^2])");

}

// {(e + f*x)^m*(a + b*ArcTanh[c + d*x])^3, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcTanh[c + d*x])^3, x]}
public void test03121() {
	check("Integrate[(e + f*x)^m*(a + b*ArcTanh[c + d*x])^3, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcTanh[c + d*x])^3, x]");

}

// {(e + f*x)^m*(a + b*ArcTanh[c + d*x])^2, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcTanh[c + d*x])^2, x]}
public void test03122() {
	check("Integrate[(e + f*x)^m*(a + b*ArcTanh[c + d*x])^2, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcTanh[c + d*x])^2, x]");

}

// {ArcTanh[Tanh[a + b*x]]^2/x^4, x, 1, ArcTanh[Tanh[a + b*x]]^3/(3*x^3*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03123() {
	check("Integrate[ArcTanh[Tanh[a + b*x]]^2/x^4, x]", "ArcTanh[Tanh[a + b*x]]^3/(3*x^3*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {ArcTanh[Tanh[a + b*x]]^3/x^5, x, 1, ArcTanh[Tanh[a + b*x]]^4/(4*x^4*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03124() {
	check("Integrate[ArcTanh[Tanh[a + b*x]]^3/x^5, x]", "ArcTanh[Tanh[a + b*x]]^4/(4*x^4*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {ArcTanh[Tanh[a + b*x]]^4/x^6, x, 1, ArcTanh[Tanh[a + b*x]]^5/(5*x^5*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03125() {
	check("Integrate[ArcTanh[Tanh[a + b*x]]^4/x^6, x]", "ArcTanh[Tanh[a + b*x]]^5/(5*x^5*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {x^m/ArcTanh[Tanh[a + b*x]], x, 1, -((x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/(b*x - ArcTanh[Tanh[a + b*x]])])/((1 + m)*(b*x - ArcTanh[Tanh[a + b*x]])))}
public void test03126() {
	check("Integrate[x^m/ArcTanh[Tanh[a + b*x]], x]", "-((x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/(b*x - ArcTanh[Tanh[a + b*x]])])/((1 + m)*(b*x - ArcTanh[Tanh[a + b*x]])))");

}

// {1/(x*Sqrt[ArcTanh[Tanh[a + b*x]]]), x, 1, (2*ArcTan[Sqrt[ArcTanh[Tanh[a + b*x]]]/Sqrt[b*x - ArcTanh[Tanh[a + b*x]]]])/Sqrt[b*x - ArcTanh[Tanh[a + b*x]]]}
public void test03127() {
	check("Integrate[1/(x*Sqrt[ArcTanh[Tanh[a + b*x]]]), x]", "(2*ArcTan[Sqrt[ArcTanh[Tanh[a + b*x]]]/Sqrt[b*x - ArcTanh[Tanh[a + b*x]]]])/Sqrt[b*x - ArcTanh[Tanh[a + b*x]]]");

}

// {1/(Sqrt[x]*ArcTanh[Tanh[a + b*x]]), x, 1, (-2*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[b*x - ArcTanh[Tanh[a + b*x]]]])/(Sqrt[b]*Sqrt[b*x - ArcTanh[Tanh[a + b*x]]])}
public void test03128() {
	check("Integrate[1/(Sqrt[x]*ArcTanh[Tanh[a + b*x]]), x]", "(-2*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[b*x - ArcTanh[Tanh[a + b*x]]]])/(Sqrt[b]*Sqrt[b*x - ArcTanh[Tanh[a + b*x]]])");

}

// {Sqrt[ArcTanh[Tanh[a + b*x]]]/x^(5/2), x, 1, (2*ArcTanh[Tanh[a + b*x]]^(3/2))/(3*x^(3/2)*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03129() {
	check("Integrate[Sqrt[ArcTanh[Tanh[a + b*x]]]/x^(5/2), x]", "(2*ArcTanh[Tanh[a + b*x]]^(3/2))/(3*x^(3/2)*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {ArcTanh[Tanh[a + b*x]]^(3/2)/x^(7/2), x, 1, (2*ArcTanh[Tanh[a + b*x]]^(5/2))/(5*x^(5/2)*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03130() {
	check("Integrate[ArcTanh[Tanh[a + b*x]]^(3/2)/x^(7/2), x]", "(2*ArcTanh[Tanh[a + b*x]]^(5/2))/(5*x^(5/2)*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {ArcTanh[Tanh[a + b*x]]^(5/2)/x^(9/2), x, 1, (2*ArcTanh[Tanh[a + b*x]]^(7/2))/(7*x^(7/2)*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03131() {
	check("Integrate[ArcTanh[Tanh[a + b*x]]^(5/2)/x^(9/2), x]", "(2*ArcTanh[Tanh[a + b*x]]^(7/2))/(7*x^(7/2)*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {1/(Sqrt[x]*Sqrt[ArcTanh[Tanh[a + b*x]]]), x, 1, (2*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[ArcTanh[Tanh[a + b*x]]]])/Sqrt[b]}
public void test03132() {
	check("Integrate[1/(Sqrt[x]*Sqrt[ArcTanh[Tanh[a + b*x]]]), x]", "(2*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[ArcTanh[Tanh[a + b*x]]]])/Sqrt[b]");

}

// {1/(x^(3/2)*Sqrt[ArcTanh[Tanh[a + b*x]]]), x, 1, (2*Sqrt[ArcTanh[Tanh[a + b*x]]])/(Sqrt[x]*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03133() {
	check("Integrate[1/(x^(3/2)*Sqrt[ArcTanh[Tanh[a + b*x]]]), x]", "(2*Sqrt[ArcTanh[Tanh[a + b*x]]])/(Sqrt[x]*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {1/(Sqrt[x]*ArcTanh[Tanh[a + b*x]]^(3/2)), x, 1, (-2*Sqrt[x])/((b*x - ArcTanh[Tanh[a + b*x]])*Sqrt[ArcTanh[Tanh[a + b*x]]])}
public void test03134() {
	check("Integrate[1/(Sqrt[x]*ArcTanh[Tanh[a + b*x]]^(3/2)), x]", "(-2*Sqrt[x])/((b*x - ArcTanh[Tanh[a + b*x]])*Sqrt[ArcTanh[Tanh[a + b*x]]])");

}

// {Sqrt[x]/ArcTanh[Tanh[a + b*x]]^(5/2), x, 1, (-2*x^(3/2))/(3*(b*x - ArcTanh[Tanh[a + b*x]])*ArcTanh[Tanh[a + b*x]]^(3/2))}
public void test03135() {
	check("Integrate[Sqrt[x]/ArcTanh[Tanh[a + b*x]]^(5/2), x]", "(-2*x^(3/2))/(3*(b*x - ArcTanh[Tanh[a + b*x]])*ArcTanh[Tanh[a + b*x]]^(3/2))");

}

// {x^m*ArcTanh[Tanh[a + b*x]]^n, x, 1, (x^m*ArcTanh[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[-m, 1 + n, 2 + n, -(ArcTanh[Tanh[a + b*x]]/(b*x - ArcTanh[Tanh[a + b*x]]))])/(b*(1 + n)*((b*x)/(b*x - ArcTanh[Tanh[a + b*x]]))^m)}
public void test03136() {
	check("Integrate[x^m*ArcTanh[Tanh[a + b*x]]^n, x]", "(x^m*ArcTanh[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[-m, 1 + n, 2 + n, -(ArcTanh[Tanh[a + b*x]]/(b*x - ArcTanh[Tanh[a + b*x]]))])/(b*(1 + n)*((b*x)/(b*x - ArcTanh[Tanh[a + b*x]]))^m)");

}

// {ArcTanh[Tanh[a + b*x]]^n/x, x, 1, (ArcTanh[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -(ArcTanh[Tanh[a + b*x]]/(b*x - ArcTanh[Tanh[a + b*x]]))])/((1 + n)*(b*x - ArcTanh[Tanh[a + b*x]]))}
public void test03137() {
	check("Integrate[ArcTanh[Tanh[a + b*x]]^n/x, x]", "(ArcTanh[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -(ArcTanh[Tanh[a + b*x]]/(b*x - ArcTanh[Tanh[a + b*x]]))])/((1 + n)*(b*x - ArcTanh[Tanh[a + b*x]]))");

}

// {E^ArcTanh[a*x]/(c - a^2*c*x^2), x, 1, E^ArcTanh[a*x]/(a*c)}
public void test03138() {
	check("Integrate[E^ArcTanh[a*x]/(c - a^2*c*x^2), x]", "E^ArcTanh[a*x]/(a*c)");

}

// {E^(3*ArcTanh[a*x])/(c - a^2*c*x^2), x, 1, E^(3*ArcTanh[a*x])/(3*a*c)}
public void test03139() {
	check("Integrate[E^(3*ArcTanh[a*x])/(c - a^2*c*x^2), x]", "E^(3*ArcTanh[a*x])/(3*a*c)");

}

// {1/(E^ArcTanh[a*x]*(c - a^2*c*x^2)), x, 1, -(1/(a*c*E^ArcTanh[a*x]))}
public void test03140() {
	check("Integrate[1/(E^ArcTanh[a*x]*(c - a^2*c*x^2)), x]", "-(1/(a*c*E^ArcTanh[a*x]))");

}

// {1/(E^(3*ArcTanh[a*x])*(c - a^2*c*x^2)), x, 1, -1/(3*a*c*E^(3*ArcTanh[a*x]))}
public void test03141() {
	check("Integrate[1/(E^(3*ArcTanh[a*x])*(c - a^2*c*x^2)), x]", "-1/(3*a*c*E^(3*ArcTanh[a*x]))");

}

// {E^(ArcTanh[a*x]/2)/(1 - a^2*x^2)^(3/2), x, 1, (-2*E^(ArcTanh[a*x]/2)*(1 - 2*a*x))/(3*a*Sqrt[1 - a^2*x^2])}
public void test03142() {
	check("Integrate[E^(ArcTanh[a*x]/2)/(1 - a^2*x^2)^(3/2), x]", "(-2*E^(ArcTanh[a*x]/2)*(1 - 2*a*x))/(3*a*Sqrt[1 - a^2*x^2])");

}

// {E^(ArcTanh[a*x]/2)/(c - a^2*c*x^2)^(3/2), x, 1, (-2*E^(ArcTanh[a*x]/2)*(1 - 2*a*x))/(3*a*c*Sqrt[c - a^2*c*x^2])}
public void test03143() {
	check("Integrate[E^(ArcTanh[a*x]/2)/(c - a^2*c*x^2)^(3/2), x]", "(-2*E^(ArcTanh[a*x]/2)*(1 - 2*a*x))/(3*a*c*Sqrt[c - a^2*c*x^2])");

}

// {(E^(ArcTanh[a*x]/2)*x^2)/(c - a^2*c*x^2)^(9/8), x, 1, (4*E^(ArcTanh[a*x]/2)*(2 - a*x))/(3*a^3*c*(c - a^2*c*x^2)^(1/8))}
public void test03144() {
	check("Integrate[(E^(ArcTanh[a*x]/2)*x^2)/(c - a^2*c*x^2)^(9/8), x]", "(4*E^(ArcTanh[a*x]/2)*(2 - a*x))/(3*a^3*c*(c - a^2*c*x^2)^(1/8))");

}

// {E^(n*ArcTanh[a*x])/(c - a^2*c*x^2), x, 1, E^(n*ArcTanh[a*x])/(a*c*n)}
public void test03145() {
	check("Integrate[E^(n*ArcTanh[a*x])/(c - a^2*c*x^2), x]", "E^(n*ArcTanh[a*x])/(a*c*n)");

}

// {(E^(n*ArcTanh[a*x])*x)/(c - a^2*c*x^2)^(3/2), x, 1, (E^(n*ArcTanh[a*x])*(1 - a*n*x))/(a^2*c*(1 - n^2)*Sqrt[c - a^2*c*x^2])}
public void test03146() {
	check("Integrate[(E^(n*ArcTanh[a*x])*x)/(c - a^2*c*x^2)^(3/2), x]", "(E^(n*ArcTanh[a*x])*(1 - a*n*x))/(a^2*c*(1 - n^2)*Sqrt[c - a^2*c*x^2])");

}

// {E^(n*ArcTanh[a*x])/(c - a^2*c*x^2)^(3/2), x, 1, -((E^(n*ArcTanh[a*x])*(n - a*x))/(a*c*(1 - n^2)*Sqrt[c - a^2*c*x^2]))}
public void test03147() {
	check("Integrate[E^(n*ArcTanh[a*x])/(c - a^2*c*x^2)^(3/2), x]", "-((E^(n*ArcTanh[a*x])*(n - a*x))/(a*c*(1 - n^2)*Sqrt[c - a^2*c*x^2]))");

}

// {E^(n*ArcTanh[a*x])*x^2*(c - a^2*c*x^2)^(-1 - n^2/2), x, 1, (E^(n*ArcTanh[a*x])*(1 - a*n*x))/(a^3*c*n*(1 - n^2)*(c - a^2*c*x^2)^(n^2/2))}
public void test03148() {
	check("Integrate[E^(n*ArcTanh[a*x])*x^2*(c - a^2*c*x^2)^(-1 - n^2/2), x]", "(E^(n*ArcTanh[a*x])*(1 - a*n*x))/(a^3*c*n*(1 - n^2)*(c - a^2*c*x^2)^(n^2/2))");

}

// {ArcCoth[a*x]/x, x, 1, PolyLog[2, -(1/(a*x))]/2 - PolyLog[2, 1/(a*x)]/2}
public void test03149() {
	check("Integrate[ArcCoth[a*x]/x, x]", "PolyLog[2, -(1/(a*x))]/2 - PolyLog[2, 1/(a*x)]/2");

}

// {ArcCoth[c*x]^2/(d + e*x), x, 1, -((ArcCoth[c*x]^2*Log[2/(1 + c*x)])/e) + (ArcCoth[c*x]^2*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (ArcCoth[c*x]*PolyLog[2, 1 - 2/(1 + c*x)])/e - (ArcCoth[c*x]*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + PolyLog[3, 1 - 2/(1 + c*x)]/(2*e) - PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))]/(2*e)}
public void test03150() {
	check("Integrate[ArcCoth[c*x]^2/(d + e*x), x]", "-((ArcCoth[c*x]^2*Log[2/(1 + c*x)])/e) + (ArcCoth[c*x]^2*Log[(2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + (ArcCoth[c*x]*PolyLog[2, 1 - 2/(1 + c*x)])/e - (ArcCoth[c*x]*PolyLog[2, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))])/e + PolyLog[3, 1 - 2/(1 + c*x)]/(2*e) - PolyLog[3, 1 - (2*c*(d + e*x))/((c*d + e)*(1 + c*x))]/(2*e)");

}

// {ArcCoth[x]/(a - a*x^2)^(3/2), x, 1, -(1/(a*Sqrt[a - a*x^2])) + (x*ArcCoth[x])/(a*Sqrt[a - a*x^2])}
public void test03151() {
	check("Integrate[ArcCoth[x]/(a - a*x^2)^(3/2), x]", "-(1/(a*Sqrt[a - a*x^2])) + (x*ArcCoth[x])/(a*Sqrt[a - a*x^2])");

}

// {1/((1 - x^2)*ArcCoth[x]), x, 1, Log[ArcCoth[x]]}
public void test03152() {
	check("Integrate[1/((1 - x^2)*ArcCoth[x]), x]", "Log[ArcCoth[x]]");

}

// {ArcCoth[x]^n/(1 - x^2), x, 1, ArcCoth[x]^(1 + n)/(1 + n)}
public void test03153() {
	check("Integrate[ArcCoth[x]^n/(1 - x^2), x]", "ArcCoth[x]^(1 + n)/(1 + n)");

}

// {ArcCoth[x]/(1 - x^2), x, 1, ArcCoth[x]^2/2}
public void test03154() {
	check("Integrate[ArcCoth[x]/(1 - x^2), x]", "ArcCoth[x]^2/2");

}

// {(e + f*x)^m*(a + b*ArcCoth[c + d*x])^2, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcCoth[c + d*x])^2, x]}
public void test03155() {
	check("Integrate[(e + f*x)^m*(a + b*ArcCoth[c + d*x])^2, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcCoth[c + d*x])^2, x]");

}

// {(e + f*x)^m*(a + b*ArcCoth[c + d*x])^3, x, 1, Unintegrable[(e + f*x)^m*(a + b*ArcCoth[c + d*x])^3, x]}
public void test03156() {
	check("Integrate[(e + f*x)^m*(a + b*ArcCoth[c + d*x])^3, x]", "Unintegrable[(e + f*x)^m*(a + b*ArcCoth[c + d*x])^3, x]");

}

// {ArcCoth[Tanh[a + b*x]]^2/x^4, x, 1, ArcCoth[Tanh[a + b*x]]^3/(3*x^3*(b*x - ArcCoth[Tanh[a + b*x]]))}
public void test03157() {
	check("Integrate[ArcCoth[Tanh[a + b*x]]^2/x^4, x]", "ArcCoth[Tanh[a + b*x]]^3/(3*x^3*(b*x - ArcCoth[Tanh[a + b*x]]))");

}

// {ArcCoth[Tanh[a + b*x]]^3/x^5, x, 1, ArcCoth[Tanh[a + b*x]]^4/(4*x^4*(b*x - ArcCoth[Tanh[a + b*x]]))}
public void test03158() {
	check("Integrate[ArcCoth[Tanh[a + b*x]]^3/x^5, x]", "ArcCoth[Tanh[a + b*x]]^4/(4*x^4*(b*x - ArcCoth[Tanh[a + b*x]]))");

}

// {x^m/ArcCoth[Tanh[a + b*x]], x, 1, -((x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/(b*x - ArcCoth[Tanh[a + b*x]])])/((1 + m)*(b*x - ArcCoth[Tanh[a + b*x]])))}
public void test03159() {
	check("Integrate[x^m/ArcCoth[Tanh[a + b*x]], x]", "-((x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/(b*x - ArcCoth[Tanh[a + b*x]])])/((1 + m)*(b*x - ArcCoth[Tanh[a + b*x]])))");

}

// {x^m*ArcCoth[Tanh[a + b*x]]^n, x, 1, (x^m*ArcCoth[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[-m, 1 + n, 2 + n, -(ArcCoth[Tanh[a + b*x]]/(b*x - ArcCoth[Tanh[a + b*x]]))])/(b*(1 + n)*((b*x)/(b*x - ArcCoth[Tanh[a + b*x]]))^m)}
public void test03160() {
	check("Integrate[x^m*ArcCoth[Tanh[a + b*x]]^n, x]", "(x^m*ArcCoth[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[-m, 1 + n, 2 + n, -(ArcCoth[Tanh[a + b*x]]/(b*x - ArcCoth[Tanh[a + b*x]]))])/(b*(1 + n)*((b*x)/(b*x - ArcCoth[Tanh[a + b*x]]))^m)");

}

// {ArcCoth[Tanh[a + b*x]]^n/x, x, 1, (ArcCoth[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -(ArcCoth[Tanh[a + b*x]]/(b*x - ArcCoth[Tanh[a + b*x]]))])/((1 + n)*(b*x - ArcCoth[Tanh[a + b*x]]))}
public void test03161() {
	check("Integrate[ArcCoth[Tanh[a + b*x]]^n/x, x]", "(ArcCoth[Tanh[a + b*x]]^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -(ArcCoth[Tanh[a + b*x]]/(b*x - ArcCoth[Tanh[a + b*x]]))])/((1 + n)*(b*x - ArcCoth[Tanh[a + b*x]]))");

}

// {1/((a - a*x^2)*(b - 2*b*ArcCoth[x])), x, 1, -Log[1 - 2*ArcCoth[x]]/(2*a*b)}
public void test03162() {
	check("Integrate[1/((a - a*x^2)*(b - 2*b*ArcCoth[x])), x]", "-Log[1 - 2*ArcCoth[x]]/(2*a*b)");

}

// {E^ArcCoth[a*x]*Sqrt[c - a*c*x], x, 1, (2*E^ArcCoth[a*x]*(1 + a*x)*Sqrt[c - a*c*x])/(3*a)}
public void test03163() {
	check("Integrate[E^ArcCoth[a*x]*Sqrt[c - a*c*x], x]", "(2*E^ArcCoth[a*x]*(1 + a*x)*Sqrt[c - a*c*x])/(3*a)");

}

// {E^(3*ArcCoth[a*x])*(c - a*c*x)^(3/2), x, 1, (2*E^(3*ArcCoth[a*x])*(1 + a*x)*(c - a*c*x)^(3/2))/(5*a)}
public void test03164() {
	check("Integrate[E^(3*ArcCoth[a*x])*(c - a*c*x)^(3/2), x]", "(2*E^(3*ArcCoth[a*x])*(1 + a*x)*(c - a*c*x)^(3/2))/(5*a)");

}

// {1/(E^ArcCoth[a*x]*Sqrt[c - a*c*x]), x, 1, (2*(1 + a*x))/(a*E^ArcCoth[a*x]*Sqrt[c - a*c*x])}
public void test03165() {
	check("Integrate[1/(E^ArcCoth[a*x]*Sqrt[c - a*c*x]), x]", "(2*(1 + a*x))/(a*E^ArcCoth[a*x]*Sqrt[c - a*c*x])");

}

// {1/(E^(3*ArcCoth[a*x])*(c - a*c*x)^(3/2)), x, 1, (-2*(1 + a*x))/(a*E^(3*ArcCoth[a*x])*(c - a*c*x)^(3/2))}
public void test03166() {
	check("Integrate[1/(E^(3*ArcCoth[a*x])*(c - a*c*x)^(3/2)), x]", "(-2*(1 + a*x))/(a*E^(3*ArcCoth[a*x])*(c - a*c*x)^(3/2))");

}

// {E^ArcCoth[a*x]*Sqrt[c - a*c*x], x, 1, (2*E^ArcCoth[a*x]*(1 + a*x)*Sqrt[c - a*c*x])/(3*a)}
public void test03167() {
	check("Integrate[E^ArcCoth[a*x]*Sqrt[c - a*c*x], x]", "(2*E^ArcCoth[a*x]*(1 + a*x)*Sqrt[c - a*c*x])/(3*a)");

}

// {E^ArcCoth[x]*Sqrt[1 - x], x, 1, (2*E^ArcCoth[x]*Sqrt[1 - x]*(1 + x))/3}
public void test03168() {
	check("Integrate[E^ArcCoth[x]*Sqrt[1 - x], x]", "(2*E^ArcCoth[x]*Sqrt[1 - x]*(1 + x))/3");

}

// {E^(n*ArcCoth[a*x])*(c - a*c*x)^(n/2), x, 1, (2*E^(n*ArcCoth[a*x])*(1 + a*x)*(c - a*c*x)^(n/2))/(a*(2 + n))}
public void test03169() {
	check("Integrate[E^(n*ArcCoth[a*x])*(c - a*c*x)^(n/2), x]", "(2*E^(n*ArcCoth[a*x])*(1 + a*x)*(c - a*c*x)^(n/2))/(a*(2 + n))");

}

// {E^ArcCoth[a*x]/(c - a^2*c*x^2), x, 1, E^ArcCoth[a*x]/(a*c)}
public void test03170() {
	check("Integrate[E^ArcCoth[a*x]/(c - a^2*c*x^2), x]", "E^ArcCoth[a*x]/(a*c)");

}

// {E^(3*ArcCoth[a*x])/(c - a^2*c*x^2), x, 1, E^(3*ArcCoth[a*x])/(3*a*c)}
public void test03171() {
	check("Integrate[E^(3*ArcCoth[a*x])/(c - a^2*c*x^2), x]", "E^(3*ArcCoth[a*x])/(3*a*c)");

}

// {1/(E^ArcCoth[a*x]*(c - a^2*c*x^2)), x, 1, -(1/(a*c*E^ArcCoth[a*x]))}
public void test03172() {
	check("Integrate[1/(E^ArcCoth[a*x]*(c - a^2*c*x^2)), x]", "-(1/(a*c*E^ArcCoth[a*x]))");

}

// {1/(E^(3*ArcCoth[a*x])*(c - a^2*c*x^2)), x, 1, -1/(3*a*c*E^(3*ArcCoth[a*x]))}
public void test03173() {
	check("Integrate[1/(E^(3*ArcCoth[a*x])*(c - a^2*c*x^2)), x]", "-1/(3*a*c*E^(3*ArcCoth[a*x]))");

}

// {E^(n*ArcCoth[a*x])/(c - a^2*c*x^2), x, 1, E^(n*ArcCoth[a*x])/(a*c*n)}
public void test03174() {
	check("Integrate[E^(n*ArcCoth[a*x])/(c - a^2*c*x^2), x]", "E^(n*ArcCoth[a*x])/(a*c*n)");

}

// {E^(n*ArcCoth[a*x])/(c - a^2*c*x^2)^(3/2), x, 1, -((E^(n*ArcCoth[a*x])*(n - a*x))/(a*c*(1 - n^2)*Sqrt[c - a^2*c*x^2]))}
public void test03175() {
	check("Integrate[E^(n*ArcCoth[a*x])/(c - a^2*c*x^2)^(3/2), x]", "-((E^(n*ArcCoth[a*x])*(n - a*x))/(a*c*(1 - n^2)*Sqrt[c - a^2*c*x^2]))");

}

// {(E^(n*ArcCoth[a*x])*x)/(c - a^2*c*x^2)^(3/2), x, 1, (E^(n*ArcCoth[a*x])*(1 - a*n*x))/(a^2*c*(1 - n^2)*Sqrt[c - a^2*c*x^2])}
public void test03176() {
	check("Integrate[(E^(n*ArcCoth[a*x])*x)/(c - a^2*c*x^2)^(3/2), x]", "(E^(n*ArcCoth[a*x])*(1 - a*n*x))/(a^2*c*(1 - n^2)*Sqrt[c - a^2*c*x^2])");

}

// {E^(n*ArcCoth[a*x])/(c - a^2*c*x^2)^(3/2), x, 1, -((E^(n*ArcCoth[a*x])*(n - a*x))/(a*c*(1 - n^2)*Sqrt[c - a^2*c*x^2]))}
public void test03177() {
	check("Integrate[E^(n*ArcCoth[a*x])/(c - a^2*c*x^2)^(3/2), x]", "-((E^(n*ArcCoth[a*x])*(n - a*x))/(a*c*(1 - n^2)*Sqrt[c - a^2*c*x^2]))");

}

// {(d + e*x)^m*(a + b*ArcSech[c*x]), x, 1, ((d + e*x)^(1 + m)*(a + b*ArcSech[c*x]))/(e*(1 + m)) + (b*Sqrt[(1 + c*x)^(-1)]*Sqrt[1 + c*x]*Unintegrable[(d + e*x)^(1 + m)/(x*Sqrt[1 - c^2*x^2]), x])/(e*(1 + m))}
public void test03178() {
	check("Integrate[(d + e*x)^m*(a + b*ArcSech[c*x]), x]", "((d + e*x)^(1 + m)*(a + b*ArcSech[c*x]))/(e*(1 + m)) + (b*Sqrt[(1 + c*x)^(-1)]*Sqrt[1 + c*x]*Unintegrable[(d + e*x)^(1 + m)/(x*Sqrt[1 - c^2*x^2]), x])/(e*(1 + m))");

}

// {Derivative[1][f][x], x, 1, f[x]}
public void test03179() {
	check("Integrate[Derivative[1][f][x], x]", "f[x]");

}

// {Derivative[2][f][x], x, 1, Derivative[1][f][x]}
public void test03180() {
	check("Integrate[Derivative[2][f][x], x]", "Derivative[1][f][x]");

}

// {Derivative[3][f][x], x, 1, Derivative[2][f][x]}
public void test03181() {
	check("Integrate[Derivative[3][f][x], x]", "Derivative[2][f][x]");

}

// {Derivative[n][f][x], x, 1, Derivative[-1 + n][f][x]}
public void test03182() {
	check("Integrate[Derivative[n][f][x], x]", "Derivative[-1 + n][f][x]");

}

// {f[g[x]]*Derivative[1][g][x], x, 1, CannotIntegrate[f[g[x]]*Derivative[1][g][x], x]}
public void test03183() {
	check("Integrate[f[g[x]]*Derivative[1][g][x], x]", "CannotIntegrate[f[g[x]]*Derivative[1][g][x], x]");

}

// {f[Derivative[1][g][x]]*Derivative[2][g][x], x, 1, CannotIntegrate[f[Derivative[1][g][x]]*Derivative[2][g][x], x]}
public void test03184() {
	check("Integrate[f[Derivative[1][g][x]]*Derivative[2][g][x], x]", "CannotIntegrate[f[Derivative[1][g][x]]*Derivative[2][g][x], x]");

}

// {(g[x]*Derivative[1][f][x] - f[x]*Derivative[1][g][x])/g[x]^2, x, 1, f[x]/g[x]}
public void test03185() {
	check("Integrate[(g[x]*Derivative[1][f][x] - f[x]*Derivative[1][g][x])/g[x]^2, x]", "f[x]/g[x]");

}

// {(g[x]*Derivative[1][f][x] - f[x]*Derivative[1][g][x])/(f[x]*g[x]), x, 1, Log[f[x]/g[x]]}
public void test03186() {
	check("Integrate[(g[x]*Derivative[1][f][x] - f[x]*Derivative[1][g][x])/(f[x]*g[x]), x]", "Log[f[x]/g[x]]");

}

// {F^(a + b*x)*Derivative[1][f][x], x, 1, F^(a + b*x)*f[x] - b*CannotIntegrate[F^(a + b*x)*f[x], x]*Log[F]}
public void test03187() {
	check("Integrate[F^(a + b*x)*Derivative[1][f][x], x]", "F^(a + b*x)*f[x] - b*CannotIntegrate[F^(a + b*x)*f[x], x]*Log[F]");

}

// {F^(a + b*x)*Derivative[-1][f][x], x, 1, -(CannotIntegrate[F^(a + b*x)*f[x], x]/(b*Log[F])) + (F^(a + b*x)*Derivative[-1][f][x])/(b*Log[F])}
public void test03188() {
	check("Integrate[F^(a + b*x)*Derivative[-1][f][x], x]", "-(CannotIntegrate[F^(a + b*x)*f[x], x]/(b*Log[F])) + (F^(a + b*x)*Derivative[-1][f][x])/(b*Log[F])");

}

// {Sin[a + b*x]*Derivative[1][f][x], x, 1, -(b*CannotIntegrate[Cos[a + b*x]*f[x], x]) + f[x]*Sin[a + b*x]}
public void test03189() {
	check("Integrate[Sin[a + b*x]*Derivative[1][f][x], x]", "-(b*CannotIntegrate[Cos[a + b*x]*f[x], x]) + f[x]*Sin[a + b*x]");

}

// {Sin[a + b*x]*Derivative[-1][f][x], x, 1, CannotIntegrate[Cos[a + b*x]*f[x], x]/b - (Cos[a + b*x]*Derivative[-1][f][x])/b}
public void test03190() {
	check("Integrate[Sin[a + b*x]*Derivative[-1][f][x], x]", "CannotIntegrate[Cos[a + b*x]*f[x], x]/b - (Cos[a + b*x]*Derivative[-1][f][x])/b");

}

// {Cos[a + b*x]*Derivative[1][f][x], x, 1, b*CannotIntegrate[f[x]*Sin[a + b*x], x] + Cos[a + b*x]*f[x]}
public void test03191() {
	check("Integrate[Cos[a + b*x]*Derivative[1][f][x], x]", "b*CannotIntegrate[f[x]*Sin[a + b*x], x] + Cos[a + b*x]*f[x]");

}

// {Cos[a + b*x]*Derivative[-1][f][x], x, 1, -(CannotIntegrate[f[x]*Sin[a + b*x], x]/b) + (Sin[a + b*x]*Derivative[-1][f][x])/b}
public void test03192() {
	check("Integrate[Cos[a + b*x]*Derivative[-1][f][x], x]", "-(CannotIntegrate[f[x]*Sin[a + b*x], x]/b) + (Sin[a + b*x]*Derivative[-1][f][x])/b");

}

// {Erf[b*x]/x, x, 1, (2*b*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi]}
public void test03193() {
	check("Integrate[Erf[b*x]/x, x]", "(2*b*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(b^2*x^2)])/Sqrt[Pi]");

}

// {Erf[b*x], x, 1, 1/(b*E^(b^2*x^2)*Sqrt[Pi]) + x*Erf[b*x]}
public void test03194() {
	check("Integrate[Erf[b*x], x]", "1/(b*E^(b^2*x^2)*Sqrt[Pi]) + x*Erf[b*x]");

}

// {Erf[a + b*x], x, 1, 1/(b*E^(a + b*x)^2*Sqrt[Pi]) + ((a + b*x)*Erf[a + b*x])/b}
public void test03195() {
	check("Integrate[Erf[a + b*x], x]", "1/(b*E^(a + b*x)^2*Sqrt[Pi]) + ((a + b*x)*Erf[a + b*x])/b");

}

// {Erf[a + b*x]/(c + d*x)^2, x, 1, -(Erf[a + b*x]/(d*(c + d*x))) + (2*b*Unintegrable[1/(E^(a + b*x)^2*(c + d*x)), x])/(d*Sqrt[Pi])}
public void test03196() {
	check("Integrate[Erf[a + b*x]/(c + d*x)^2, x]", "-(Erf[a + b*x]/(d*(c + d*x))) + (2*b*Unintegrable[1/(E^(a + b*x)^2*(c + d*x)), x])/(d*Sqrt[Pi])");

}

// {(E^(c + b^2*x^2)*Erf[b*x])/x, x, 1, (2*b*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]}
public void test03197() {
	check("Integrate[(E^(c + b^2*x^2)*Erf[b*x])/x, x]", "(2*b*E^c*x*HypergeometricPFQ[{1/2, 1}, {3/2, 3/2}, b^2*x^2])/Sqrt[Pi]");

}

// {E^(c + b^2*x^2)*Erf[b*x], x, 1, (b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi]}
public void test03198() {
	check("Integrate[E^(c + b^2*x^2)*Erf[b*x], x]", "(b*E^c*x^2*HypergeometricPFQ[{1, 1}, {3/2, 2}, b^2*x^2])/Sqrt[Pi]");

}

// {(E^(c + d*x^2)*Erf[a + b*x])/x^2, x, 1, -((E^(c + d*x^2)*Erf[a + b*x])/x) + (2*b*Unintegrable[E^(-a^2 + c - 2*a*b*x + (-b^2 + d)