Regla del trapecio multiple

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Integración por regla del trapecio\n",
    "\n",
    "**En la ecuación:**\n",
    "\n",
    "$\\int_{1}^{2} (x+\\frac{2}{x})^2 dx$\n",
    "\n",
    "**Con n = 1, 2, 3 y 4**\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ingrese limite inferior: 1\n",
      "Ingrese limite superior: 2\n",
      "Ingrese cantidad de segmentos: 4\n",
      "\n",
      "Valor encontrado para la funcion desde 1.0 hasta 2.0, utilizando 4 segmentos, es '8.379725056689344' \n",
      "Con un error relativo verdadero porcentual de 0.5567006802721153%\n"
     ]
    }
   ],
   "source": [
    "def f(x):\n",
    "    return ((x) + (2/x))**2\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",
    "vv = 25/3\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",
    "vc = t(a,b,n)\n",
    "et = abs((vv-vc)/(vv))*100\n",
    "print(f\"\"\"\n",
    "Valor encontrado es '{vi}' para la funcion desde {a} hasta {b}, utilizando {n} segmentos. \n",
    "Con un error relativo verdadero porcentual de {et}%\"\"\")\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}