{"id":812,"date":"2017-12-11T11:43:59","date_gmt":"2017-12-11T16:43:59","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/matg1013\/?p=812"},"modified":"2026-04-05T05:54:02","modified_gmt":"2026-04-05T10:54:02","slug":"2eva2011ti_t2_mn-aproxime-integral","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva20\/2eva2011ti_t2_mn-aproxime-integral\/","title":{"rendered":"2Eva2011TI_T2_MN Aproxime integral"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n I T\u00e9rmino 2011-2012. 29\/Agosto\/2011. ICM02188 M\u00e9todos Num\u00e9ricos<\/h2>\n\n\n\n<p><strong>Tema 2<\/strong>. Sea la funci\u00f3n <strong>y <\/strong>= <strong>f<\/strong>(x), 0\u2264x\u22642, con los nodos x<sub>i<\/sub> y los valores <strong>f<\/strong>( x<sub>i<\/sub> ), como se indica:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>&nbsp;x<\/td><td>&nbsp;0.0<\/td><td>0.5<\/td><td>1.0<\/td><td>1.5<\/td><td>2.0<\/td><\/tr><tr><td>&nbsp;y=f(x)<\/td><td>&nbsp;0.0<\/td><td>0.8<\/td><td>0.9<\/td><td>0.7<\/td><td>0.3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Se requiere evaluar la siguiente integral relacionada con los datos dados:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> A = \\int_0^2 g(x) \\delta x = \\int_0^2 \\frac{1}{1+y'} \\delta x <\/span>\n\n\n\n<p>Aproxime la integral de <strong>g<\/strong>(x) con el m\u00e9todo de Simpson 1\/3, con <strong>n<\/strong>=4 subintervalos.<\/p>\n\n\n\n<p>Previamente obtenga los puntos de <strong>g<\/strong>(x) aproximando el valor de la derivada y' con una f\u00f3rmula de orden 2.<\/p>\n\n\n\n<p>Estime el error en la aproximaci\u00f3n de la derivada.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<pre class=\"wp-block-code\"><code>xi = &#091; 0.0, 0.5, 1.0, 1.5, 2.0] \nyi = &#091; 0.0, 0.8, 0.9, 0.7, 0.3]<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n I T\u00e9rmino 2011-2012. 29\/Agosto\/2011. ICM02188 M\u00e9todos Num\u00e9ricos Tema 2. Sea la funci\u00f3n y = f(x), 0\u2264x\u22642, con los nodos xi y los valores f( xi ), como se indica: &nbsp;x &nbsp;0.0 0.5 1.0 1.5 2.0 &nbsp;y=f(x) &nbsp;0.0 0.8 0.9 0.7 0.3 Se requiere evaluar la siguiente integral relacionada con los datos dados: Aproxime [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[59],"class_list":["post-812","post","type-post","status-publish","format-standard","hentry","category-mn-2eva20","tag-integracion-numerica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/812","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=812"}],"version-history":[{"count":3,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/812\/revisions"}],"predecessor-version":[{"id":17337,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/812\/revisions\/17337"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}