{"id":21160,"date":"2023-01-10T14:40:46","date_gmt":"2023-01-10T14:40:46","guid":{"rendered":"https:\/\/blogs.ugto.mx\/rea\/?p=21160"},"modified":"2023-01-10T14:56:27","modified_gmt":"2023-01-10T14:56:27","slug":"clase-digital-4-integracion-por-sustitucion-trigonometrica","status":"publish","type":"post","link":"https:\/\/blogs.ugto.mx\/rea\/clase-digital-4-integracion-por-sustitucion-trigonometrica\/","title":{"rendered":"Clase digital 4. Integraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica"},"content":{"rendered":"\n\n\n<div class=\"wp-block-cover is-light\" style=\"min-height:284px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-40 has-background-dim\"><\/span><img decoding=\"async\" class=\"wp-block-cover__image-background wp-image-21278\" alt=\"\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica.jpg\" data-object-fit=\"cover\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"853\" class=\"wp-block-cover__image-background wp-image-21278\" alt=\"\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica.jpg\" data-object-fit=\"cover\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica.jpg 1280w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica-300x200.jpg 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica-1024x682.jpg 1024w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica-768x512.jpg 768w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Integracion-por-sustitucion-trigonometrica-272x182.jpg 272w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><\/noscript><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-base-3-color has-text-color has-large-font-size wp-block-paragraph\"><br>Integraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica<\/p>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"introduccion\">Presentaci\u00f3n del tema<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u00a1Hola!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Qu\u00e9 gusto poder encontrarte en esta nueva sesi\u00f3n, espero que sigas descubriendo esta unidad de aprendizaje de c\u00e1lculo integral y sigas interesado en aprender m\u00e1s.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">En esta clase digital 4, aprender\u00e1s el m\u00e9todo: \u201cIntegraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica\u201d, el cual te permitir\u00e1 integrar funciones algebraicas que tienen la forma:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-pantalla-2023-01-10-a-las-8.54.59.png\" alt=\"\" class=\"wp-image-21358\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"315\" height=\"48\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-pantalla-2023-01-10-a-las-8.54.59.png\" alt=\"\" class=\"wp-image-21358\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-pantalla-2023-01-10-a-las-8.54.59.png 315w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/Captura-de-pantalla-2023-01-10-a-las-8.54.59-300x46.png 300w\" sizes=\"auto, (max-width: 315px) 100vw, 315px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">a trav\u00e9s de una transformaci\u00f3n a funciones trigonom\u00e9tricas. Para este tema se adjunta el siguiente recurso:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Integraci\u00f3n por Sustituci\u00f3n Trigonom\u00e9trica:<\/strong> En este video se explica el m\u00e9todo de integraci\u00f3n llamado \u201cSustituci\u00f3n trigonom\u00e9trica\u201d y adem\u00e1s se realizan varios ejemplos en donde se aplican los procedimientos se\u00f1alados.<\/li>\n\n\n\n<li><strong>Integral por Sustituci\u00f3n Trigonom\u00e9trica \/\/ Ejemplo Resuelto: <\/strong>En el video se explica el m\u00e9todo de sustituci\u00f3n trigonom\u00e9trica mediante un ejemplo.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Sin m\u00e1s pre\u00e1mbulos, iniciemos el estudio. \u00a1Suerte!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"desarrollo-del-tema\">Objetivo did\u00e1ctico de la clase<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Aplicar el m\u00e9todo de Integraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica en la soluci\u00f3n de ejercicios.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"conclusion\">Contenido did\u00e1ctico<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A continuaci\u00f3n, se presenta el contenido did\u00e1ctico de acceso abierto o institucional para profundizar en el tema.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">No.<\/th><th class=\"has-text-align-center\" data-align=\"center\">Nombre del recurso<\/th><th>Sinopsis<\/th><th class=\"has-text-align-center\" data-align=\"center\">Tipo de recurso<\/th><th class=\"has-text-align-center\" data-align=\"center\">Enlace Web<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">Integraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica<\/td><td>Video en donde se explica el m\u00e9todo de integraci\u00f3n llamado \u201cSustituci\u00f3n trigonom\u00e9trica\u201d y adem\u00e1s se realizan algunos ejemplos.<\/td><td class=\"has-text-align-center\" data-align=\"center\">Video<\/td><td class=\"has-text-align-center\" data-align=\"center\">[<a href=\"https:\/\/ugtomx-my.sharepoint.com\/:v:\/g\/personal\/esosa_ugto_mx\/EUdbbnQc7ChGp6AFoMlp_fMB6df00jNg-gqars4HbaYajQ?e=gDpj0G\" target=\"_blank\" rel=\"noreferrer noopener\">Acceder<\/a>]<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"fuentes-de-informacion\">Material did\u00e1ctico complementario<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">No.<\/th><th class=\"has-text-align-center\" data-align=\"center\">Nombre del recurso<\/th><th>Sinopsis<\/th><th class=\"has-text-align-center\" data-align=\"center\">Tipo de recurso<\/th><th class=\"has-text-align-center\" data-align=\"center\">Enlace Web<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><td class=\"has-text-align-center\" data-align=\"center\">Integral por sustituci\u00f3n trigonom\u00e9trica \/\/ ejemplo resuelto<\/td><td>Video que explica el m\u00e9todo de sustituci\u00f3n trigonom\u00e9trica mediante un ejemplo.<\/td><td class=\"has-text-align-center\" data-align=\"center\">Video<\/td><td class=\"has-text-align-center\" data-align=\"center\">[<a href=\"https:\/\/www.youtube.com\/watch?v=OTu_jN_acZI\" target=\"_blank\" rel=\"noreferrer noopener\">Acceder<\/a>]<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Resumen e ideas relevantes de la clase digital<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Despu\u00e9s de haber estudiado el tema, se llega a las siguientes conclusiones, las cuales te ayudo a recordar:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>El m\u00e9todo de sustituci\u00f3n trigonom\u00e9trica <strong>se utiliza<\/strong> cuando se tienen expresiones algebraicas del tipo:<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Formula-1.png\" alt=\"\" class=\"wp-image-21285\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"421\" height=\"74\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Formula-1.png\" alt=\"\" class=\"wp-image-21285\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Formula-1.png 421w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Formula-1-300x53.png 300w\" sizes=\"auto, (max-width: 421px) 100vw, 421px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Para calcular la integraci\u00f3n por medio del m\u00e9todo de <strong>Sustituci\u00f3n trigonom\u00e9tric<\/strong>a se debe hacer la transformaci\u00f3n de la funci\u00f3n algebraica a funci\u00f3n trigonom\u00e9trica, despu\u00e9s se integra y por \u00faltimo se hace el cambio nuevamente a funci\u00f3n algebraica. Para el procedimiento anterior se puede emplear la siguiente tabla:<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Tabla-1.png\" alt=\"\" class=\"wp-image-21286\" \/><noscript><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"426\" src=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Tabla-1.png\" alt=\"\" class=\"wp-image-21286\" srcset=\"https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Tabla-1.png 831w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Tabla-1-300x154.png 300w, https:\/\/blogs.ugto.mx\/rea\/wp-content\/uploads\/sites\/71\/2023\/01\/CD4-Tabla-1-768x394.png 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/noscript><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Te felicito por llegar hasta aqu\u00ed con ese \u00edmpetu tan incontrolable por saber cada d\u00eda un poco m\u00e1s, continua as\u00ed y no dejes que ese \u00e1nimo decaiga. Te comento que con el conocimiento del m\u00e9todo podr\u00e1s resolver y mandar correctamente la consigna correspondiente. \u00a1\u00c9xito!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presentaci\u00f3n del tema \u00a1Hola! Qu\u00e9 gusto poder encontrarte en esta nueva sesi\u00f3n, espero que sigas descubriendo esta unidad de aprendizaje de c\u00e1lculo integral y sigas interesado en aprender m\u00e1s. En esta clase digital 4, aprender\u00e1s el m\u00e9todo: \u201cIntegraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica\u201d, el cual te permitir\u00e1 integrar funciones algebraicas que tienen la forma: a trav\u00e9s de &#8230; <a title=\"Clase digital 4. Integraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica\" class=\"read-more\" href=\"https:\/\/blogs.ugto.mx\/rea\/clase-digital-4-integracion-por-sustitucion-trigonometrica\/\" aria-label=\"Leer m\u00e1s sobre Clase digital 4. Integraci\u00f3n por sustituci\u00f3n trigonom\u00e9trica\">Leer m\u00e1s<\/a><\/p>\n","protected":false},"author":142,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_crdt_document":"","episode_type":"","audio_file":"","podmotor_file_id":"","podmotor_episode_id":"","cover_image":"","cover_image_id":"","duration":"","filesize":"","filesize_raw":"","date_recorded":"","explicit":"","block":"","itunes_episode_number":"","itunes_title":"","itunes_season_number":"","itunes_episode_type":"","footnotes":""},"categories":[83,288,294,579],"tags":[41,581,580],"class_list":["post-21160","post","type-post","status-publish","format-standard","hentry","category-bachillerato-general","category-plan-2020","category-sexto-semestre","category-uda-calculo-integral","tag-clase-digital","tag-elvia-tomasa-sosa-vergara","tag-neba04010"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/21160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/users\/142"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/comments?post=21160"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/21160\/revisions"}],"predecessor-version":[{"id":21360,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/posts\/21160\/revisions\/21360"}],"wp:attachment":[{"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/media?parent=21160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/categories?post=21160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugto.mx\/rea\/wp-json\/wp\/v2\/tags?post=21160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}