{"id":1942,"date":"2017-11-09T08:10:58","date_gmt":"2017-11-09T13:10:58","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=1942"},"modified":"2026-04-05T20:56:19","modified_gmt":"2026-04-06T01:56:19","slug":"s3eva2009ti_t3-integrar-simpson-compuesta","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-s3eva10\/s3eva2009ti_t3-integrar-simpson-compuesta\/","title":{"rendered":"s3Eva2009TI_T3 Integrar Simpson compuesta"},"content":{"rendered":"\n<p><em><strong>Ejercicio<\/strong><\/em>: <a href=\"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-3eva10\/3eva2009ti_t3-integrar-simpson-compuesta\/\" data-type=\"post\" data-id=\"693\">3Eva2009TI_T3 Integrar Simpson compuesta<\/a><\/p>\n\n\n\n<p>La f\u00f3rmula a integrar es:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\int_0^1 \\frac{\\cos (2x)}{x^{1\/3}} \\delta x<\/span>\n\n\n\n<p>Que tiene la forma:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"642\" height=\"480\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2017\/11\/3Eva2009TI_T3_integraSimpsonCompuesta.png\" alt=\"3eva2009ti_t3 integrar Simpson Compuesta\" class=\"wp-image-18569\" \/><\/figure>\n\n\n\n<p>da como resultado:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>el \u00e1rea bajo la curva es:  0.879822622256<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">Algoritmo en Python<\/h2>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\n# 3Eva_IT2009_T3 Integrar Simpson compuesta\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfuncionx = lambda x: np.cos(2*x)\/(x**(1\/3))\n\n# INGRESO\na = 0.00001\nb = 1\ntramos = 10000\n\n# PROCEDIMIENTO\nh = (b-a)\/tramos\nx = a\narea = 0\nfor i in range(0,tramos,2):\n    deltaA = (h\/3)*(funcionx(x)+4*funcionx(x+h)+funcionx(x+2*h))\n    area = area + deltaA\n    x = x + 2*h\n    \n# para la gr\u00e1fica\nxi = np.linspace(a,b,tramos+1)\nfxi = funcionx(xi)\n\nprint('el \u00e1rea bajo la curva es: ', area)\n\n# Gr\u00e1fica\nplt.plot(xi,fxi)\nplt.title('Funcion a integrar')\nplt.grid()\nplt.xlabel('x')\nplt.show()\n<\/pre><\/div>\n\n\n<p><strong>Tarea<\/strong>: convertir a funci\u00f3n el c\u00e1lculo de Simpson<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ejercicio: 3Eva2009TI_T3 Integrar Simpson compuesta La f\u00f3rmula a integrar es: Que tiene la forma: da como resultado: Algoritmo en Python Tarea: convertir a funci\u00f3n el c\u00e1lculo de Simpson<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn-ejemplo","format":"standard","meta":{"footnotes":""},"categories":[50],"tags":[58,54],"class_list":["post-1942","post","type-post","status-publish","format-standard","hentry","category-mn-s3eva10","tag-ejemplos-python","tag-mnumericos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1942","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=1942"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1942\/revisions"}],"predecessor-version":[{"id":23917,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/1942\/revisions\/23917"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=1942"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=1942"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=1942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}