{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Haga un programa en Jupyter para resolver el ejercicio 21.4 aplicando la regla del Trapecio\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------------------------------------------------------------------------------------\n",
      "                              REGLA DEL TRAPECIO                                         \n",
      "-----------------------------------------------------------------------------------------\n",
      "Introduce el numero de segmentos4\n",
      "¿Cuál es el valor del límite inferior? 1\n",
      "¿Cuál es el valor del límite superior? 2\n",
      "         s            integral                  et\n",
      "-----------------------------------------------------------------------------------------\n",
      "         1         6.500000000        12.601127625\n",
      "------------------------------------------------------------------------------------------\n",
      "         2         5.972222222         3.458301023\n",
      "------------------------------------------------------------------------------------------\n",
      "         3         5.863333333         1.571991535\n",
      "------------------------------------------------------------------------------------------\n",
      "         4         5.824070295         0.891828086\n",
      "------------------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "\n",
    "print(\"-----------------------------------------------------------------------------------------\")\n",
    "print(\"                              REGLA DEL TRAPECIO                                         \")        \n",
    "print(\"-----------------------------------------------------------------------------------------\")\n",
    "\n",
    "\n",
    "\n",
    "s=int(input(\"Introduce el numero de segmentos\" ))\n",
    "a=float(input(\"¿Cuál es el valor del límite inferior? \"))\n",
    "b=float(input(\"¿Cuál es el valor del límite superior? \"))\n",
    "\n",
    "\n",
    "print(\"{0:>10s}{1:>20s}{2:>20s}\".format(\"s\", \"integral\", \"et\"))\n",
    "print(\"-----------------------------------------------------------------------------------------\")\n",
    "\n",
    "vv=5.7725887272\n",
    "fa = ((a+2)/a)**2\n",
    "fb = ((b+2)/b)**2\n",
    "h = (b-a)/s\n",
    "\n",
    "for k in range (s) :\n",
    "    sum=fa\n",
    "    h = (b-a)/(k+1)\n",
    "    for i in range (1,k+1) :\n",
    "        xi = a+(i*h)\n",
    "        fxi = ((xi+2)/xi)**2\n",
    "        sum = sum+(2*fxi)\n",
    "        \n",
    "    sum = sum + fb\n",
    "    sum = h*(sum/2)\n",
    "    I = h*(sum/2)\n",
    "    et=abs((vv-sum)/vv)*100\n",
    "    print(\"{0:10d}{1:20.9f}{2:20.9f}\".format(k+1, sum , et))\n",
    "    print(\"------------------------------------------------------------------------------------------\")\n",
    "    "
   ]
  }
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