{"id":1080,"date":"2013-01-15T12:37:49","date_gmt":"2013-01-15T18:37:49","guid":{"rendered":"http:\/\/blogs.acu.edu\/jee99a\/?page_id=1080"},"modified":"2013-01-15T12:51:43","modified_gmt":"2013-01-15T18:51:43","slug":"substitution-rule","status":"publish","type":"page","link":"https:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/substitution-rule\/","title":{"rendered":"Substitution Rule"},"content":{"rendered":"<p><div class='et-box et-shadow'>\n\t\t\t\t\t<div class='et-box-content'>\u00a0<strong>Description<\/strong>: In this lecture we introduce (or review for some of you) the substitution method for evaluating both indefinite and definite integrals. Recall, that the substitution rule is the integration technique which reverses chain rule for derivatives. \u00a0<\/div><\/div><em>\u00a0<\/em><\/p>\n\n\t\t\t<div class='tabs-left et_sliderfx_slide et_sliderauto_false et_sliderauto_speed_5000 et_slidertype_left_tabs clearfix'>\n\t\t\t\t<div class='et_left_tabs_bg'><\/div>\n\t\t\t\t<ul class='et-tabs-control'>\n\t\t\t<li><a href='#'>\n\t\t\tReadings\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tHomework\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tLecture Notes\n\t\t<\/a><\/li>\n\t\t<\/ul> <!-- .et-tabs-control --> \n\t\t<div class='et-tabs-content'>\n\t\t\t<div class='et-tabs-content-main-wrap'>\n\t\t\t\t<div class='et-tabs-content-wrapper'>\n\t\t\t\t\t<div class='et_slidecontent'>\n\t\t\tSection 5.5 p.375-382\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\tSection 5.5 Practice Problems: \u00a0#13-19, 31-36, 47-48, 50-53, 59-60\u00a0\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t<a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2013\/01\/S13_186_Lecture02.pdf\">Substitution Rule<\/a>\u00a0\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t<\/div> <!-- .tabs-left -->\n<p>&nbsp;<\/p>\n<h3>Video Tutorials<\/h3>\n<p><iframe loading=\"lazy\" title=\"Substitution Rule I.mp4\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/I-gSNvM-4wc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" title=\"Substitution Rule 2.mp4\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/lLqTyZXMbSs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" title=\"Substitution Rule 3.mp4\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Y_O0X1t21iY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<a href='http:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/integration-by-parts\/?submit=Go' class='small-button smallsilver'>Integration by Parts \u00bb \u00a0<\/a>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 &nbsp; Video Tutorials &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<\/p>\n","protected":false},"author":130,"featured_media":0,"parent":96,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1080","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/1080","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/comments?post=1080"}],"version-history":[{"count":6,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/1080\/revisions"}],"predecessor-version":[{"id":1092,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/1080\/revisions\/1092"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/96"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/media?parent=1080"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}