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   "source": [
    "# Tarea\n",
    "Aplicando la regla de Simpson 1/3 múltple (n=4) elabore un\n",
    "programa en Jupyter-Python para resolver el siguiente ejercicio:\n",
    "$\\int_{0}^{3}x^{2}e^{x}dx$\n",
    "\n",
    "\n",
    "Oscar Padilla A01740410"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "insertar la cantidad de segmentos 4\n",
      "Insertar subintervalo a 0\n",
      "Insertar subintervalo b 3\n",
      "-----------------------------------------------\n",
      "  Integral               Et(%)\n",
      "-----------------------------------------------\n",
      " 99.456833         1.045675666\n"
     ]
    }
   ],
   "source": [
    "import math\n",
    "n=int(input(\"insertar la cantidad de segmentos \"))\n",
    "a=int(input(\"Insertar subintervalo a \"))\n",
    "b=int(input(\"Insertar subintervalo b \"))\n",
    "print(\"-----------------------------------------------\")\n",
    "print(\"{0:>10s}{1:>20s}\". format(\"Integral\", \"Et(%)\"))\n",
    "print(\"-----------------------------------------------\")\n",
    "Fa=(a**2)*math.exp(a)\n",
    "Fb=(b**2)*math.exp(b)\n",
    "sum=Fa\n",
    "h=(b-a)/n\n",
    "Fbh=((b-h)**2)*math.exp(b-h)\n",
    "v=98.4276\n",
    "for i in range(1,n-1,2):\n",
    "    xi=a+(i*h)\n",
    "    Fxi=(xi**2)*math.exp(xi)\n",
    "    Fxih=((xi+h)**2)*math.exp(xi+h)\n",
    "    sum=sum+(4*Fxi)+(2*(Fxih))\n",
    "sum=sum+(4*Fbh)+Fb\n",
    "va=h*sum/3\n",
    "et=abs((v-va)/v)*100\n",
    "print(\"{0:10f}{1:20.9f}\".format(va,et))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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