Regla del trapecio multiple

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   "source": [
    "# Integración por regla del trapecio\n",
    "\n",
    "**En la ecuación:**\n",
    "\n",
    "$y= 0.2 + 25x - 200x^{2} + 675x^{3} -900x^{4} + 400x^{5}$"
   ]
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     "name": "stdout",
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     "text": [
      "Ingrese limite inferior: 0.0\n",
      "Ingrese limite superior: 0.8\n",
      "Ingrese cantidad de segmentos: 2\n",
      "\n",
      "Valor encontrado para la funcion desde 0.0 hasta 0.8, utilizando 2 segmentos, es '1.0688000000000115'\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return 0.2 + (25*x) - (200*x**(2)) + (675*x**3) - (900*x**4) + (400*(x**5))\n",
    "\n",
    "def t(a,b,n):\n",
    "    vi=f(a) + f(b)\n",
    "    h=(b-a)/n\n",
    "    for i in range(1,n):\n",
    "        x = a + (h*i)\n",
    "        vi += 2*f(x)\n",
    "    return (vi*h) /2\n",
    "\n",
    "True \n",
    "while True:\n",
    "    try:\n",
    "        a = float(input(\"Ingrese limite inferior: \"))\n",
    "        b = float(input(\"Ingrese limite superior: \"))\n",
    "        n = int(input(\"Ingrese cantidad de segmentos: \"))\n",
    "        break\n",
    "    except ValueError:\n",
    "        input(\"Dato ingresado invalido. Presione enter para reintentar...\")\n",
    "vi = t(a,b,n)\n",
    "print(f\"\"\"\n",
    "Valor encontrado para la funcion desde {a} hasta {b}, utilizando {n} segmentos, es '{vi}'\"\"\")"
   ]
  }
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