{"id":784,"date":"2012-08-22T12:34:36","date_gmt":"2012-08-22T17:34:36","guid":{"rendered":"http:\/\/blogs.acu.edu\/jee99a\/?page_id=784"},"modified":"2013-02-21T11:27:49","modified_gmt":"2013-02-21T17:27:49","slug":"calculating-areas","status":"publish","type":"page","link":"https:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/calculating-areas\/","title":{"rendered":"Calculating Areas"},"content":{"rendered":"<div class='et-box et-shadow'>\n\t\t\t\t\t<div class='et-box-content'>\u00a0<strong>Description<\/strong>: \u00a0In this lecture we consider the application of integration to finding areas of various regions. \u00a0Our investigation of areas will cause us to think about integrating vertically vs. horizontally. \u00a0Additionally, we will demonstrate techniques for handling annular regions via polar coordinates and determine areas enclosed by parametric equations. \u00a0Some familiarity with polar equations and parametric equations is assumed though we will review some basic concepts.<\/div><\/div>\n<p><em>\u00a0<a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/Calculating-Areas-Handout.pdf\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-980\" src=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/F11_186_L15-490x368.jpg\" alt=\"\" width=\"490\" height=\"368\" srcset=\"https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/F11_186_L15-490x368.jpg 490w, https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/F11_186_L15-75x56.jpg 75w, https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/F11_186_L15-300x225.jpg 300w, https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/F11_186_L15.jpg 868w\" sizes=\"auto, (max-width: 490px) 100vw, 490px\" \/><\/a><\/em><\/p>\n<p>&nbsp;<\/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\tQuizzes\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 6.1\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t\u00a0\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t\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=\"Calculating Areas 1\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/kfeLux1iqns?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=\"Calculating Areas 2\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/n56fYeieURk?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=\"Area Bounded by a Polar Curve 1\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/RW10yIJEA-U?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=\"Area Bounded by a Polar Curve 2\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/k-C072qt9yI?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=\"Calculating Areas with Parametric Curves\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/zEMAQuhJbMA?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<a href='http:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/calculating-volumes\/' class='small-button smallsilver'>\u00a0Calculating Volumes \u00a0\u00bb \u00a0<\/a>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 &nbsp; &nbsp; Video Tutorials &nbsp; &nbsp;<\/p>\n","protected":false},"author":130,"featured_media":0,"parent":96,"menu_order":6,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-784","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/784","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=784"}],"version-history":[{"count":5,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/784\/revisions"}],"predecessor-version":[{"id":978,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/784\/revisions\/978"}],"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=784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}