{"id":425,"date":"2023-11-22T16:59:57","date_gmt":"2023-11-22T16:59:57","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=425"},"modified":"2024-08-08T20:29:29","modified_gmt":"2024-08-08T20:29:29","slug":"math-141-calculus-1-chapter-5","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-141-calculus-1-chapter-5\/","title":{"rendered":"Math 141 Calculus 1 Chapter 5"},"content":{"rendered":"\n<p><a href=\"http:\/\/www.screencast.com\/t\/usrmMcHp\">Section 5.1 Area and Estimating with Finite Sums<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/141%20Video%20Worksheets\/Chapter%205\/MATH%20141%20Chapter%205.1%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/Ebm23R8SeZ5JhuDCL4u_WS4BEyjqGtTB2pTxNN_gYgJXmg?e=6ZIghM\" target=\"_blank\" rel=\"noreferrer noopener\">Area and Estimating with Finite Sums<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/j842iQPTj7\">Section 5.2 Sigma Notation<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/141%20Video%20Worksheets\/Chapter%205\/MATH%20141%20Chapter%205.2%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/Edfe1yvlDVpMoonMBwO7vEwBK0NFqf2WGUj-NfXGJgBsog?e=cWelBy\" target=\"_blank\" rel=\"noreferrer noopener\">Sigma Notation<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/YgTyKbda\">Section 5.3 Definite Integral<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/141%20Video%20Worksheets\/Chapter%205\/MATH%20141%20Chapter%205.3%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/ESkwbwiy3JJDvTyx9zTEn6UBKNnD5u3gh2rjwdrl6_LApQ?e=KfsZMb\" target=\"_blank\" rel=\"noreferrer noopener\">Definite Integral<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/U0xgOZzqbpBd\">Section 5.4 The Fundamental Theorem of Calculus<\/a>&nbsp;(computational error in one of the examples!)<br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/141%20Video%20Worksheets\/Chapter%205\/MATH%20141%20Chapter%205.4%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/ETHLX-d9pTFGkoHLHogsY34BAS4guCfuzk-4UrHwGlPNng?e=WQM97d\" target=\"_blank\" rel=\"noreferrer noopener\">The Fundamental Theorem of Calculus<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/pV6ufjOO4cF\">Section 5.5 Indefinite Integrals<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/141%20Video%20Worksheets\/Chapter%205\/MATH%20141%20Chapter%205.5%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EaF4Iv9aVZJJq50efyOFtuUBKQ-66Ekj6LzCUe9mdun7Dg?e=B5VcAb\" target=\"_blank\" rel=\"noreferrer noopener\">Indefinite Integrals<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/kyv25MaQYS3\">Section 5.6 Substitution and Area Between Curves<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/141%20Video%20Worksheets\/Chapter%205\/MATH%20141%20Chapter%205.6%20Video%20Notes.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EZfUWt1I23NOm48PR5ZXDt4BPAuAHJ1ufGQQRiqvRzipNw?e=QAR2OZ\" target=\"_blank\" rel=\"noreferrer noopener\">Substitution and Area Between Curves<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-141-calculus-1\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s MATH 141 page<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/mathematics-professor-anna-cox\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s home page<\/a><\/p>\n\n\n\n<p>Return to&nbsp;<em><a href=\"http:\/\/www.kellogg.edu\/\">Kellogg Community College<\/a><\/em><\/p>\n\n\n\n<p>Questions asked by students<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/SpjUuQkjohu\">Average 5-1-17<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/MLTF3d8lvBY\">Riemann Sum 5-2-43<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/PRoJ729bD\">Riemann Sum 5-2-44<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/hdJcBodbKK\">5-2-43 Riemann Sum<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/aMyE0cQJ\" target=\"_blank\" rel=\"noreferrer noopener\">5-2-44 area under curve Riemann Sum<\/a>&nbsp;(right hand endpoint not left!) (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/EDzrBedKWv2s\" target=\"_blank\" rel=\"noreferrer noopener\">5-2-45 Riemann Sum<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/KUifkT6B\" target=\"_blank\" rel=\"noreferrer noopener\">5-2-47 Riemann Sum<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/5dpxXHCHD6t\" target=\"_blank\" rel=\"noreferrer noopener\">Graph the Integrand to Find the Area 5-3-17<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/wm0B29aNXko\" target=\"_blank\" rel=\"noreferrer noopener\">5-3-22 area under a curve semicircle and a rectangle<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/em8xNq9PW1\" target=\"_blank\" rel=\"noreferrer noopener\">Area Using Formulas 5-3-28<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/Em4B4B0C\">5-3-57 area under the curve<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/sm32TTz4g7c\">Average Value of Function 5-3-59<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/pysPyVeIV5\">Average Area Under Absolute Value 5-3-61<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/EKznPSkyn\">ANOTHER ONE 5-3-61 average area under a curve absolute value<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/TIZNbIGZTi2L\" target=\"_blank\" rel=\"noreferrer noopener\">5-3-72 minimizing area under a curve<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/HDnoC0Rke\" target=\"_blank\" rel=\"noreferrer noopener\">Upper Bound 5-3-79<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/erixYEZ5rsj\" target=\"_blank\" rel=\"noreferrer noopener\">Average Speed 5-3-88<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/Rjq3fJ0Oood\" target=\"_blank\" rel=\"noreferrer noopener\">ANOTHER 5-3-88<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/d4Lo3Ks9z\" target=\"_blank\" rel=\"noreferrer noopener\">Differentiating the Integral 5-4-33<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/oVttTfjXBqb\">Fundamental Theorem of Calculus 5-4-45<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/BixNNPwO\">Area of the Region Between X-Axis and the Graph of &#8230; 5-4-53<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/oVttTfjXBqb\">Fundamental Theorem of Calculus 5-4-45<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/piv3BkWEA8mS\">Find Area of Shaded Region 5-4-53<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/screencast.com\/t\/IiMca5Dg\">Reduce the Integral to Standard Form 5-5-15<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/screencast.com\/t\/0f9yvGzplW8q\">Evaluate the Integral 5-5-21<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/90XwS1MLJ\">U-Sub Complex 5-5-37<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/screencast.com\/t\/qabgAmylK1W\">U-Sub 5-5-47<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/A84zRzukjjV0\">U-Sub 5-5-53<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/sHUP8q2RkAka\">5-6-1 u-sub with changing the bounds<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/c8sMOdtyFY5l\">Substitution and Changing Bounds 5-6-13<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/caSSFwOPnYVe\">Trig Substitution 5-6-17<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/screencast.com\/t\/OaseYCXW\">Trig Substitution 5-6-19<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/screencast.com\/t\/rVok4c2oAKc\">Trig Substitution 5-6-27<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/RMqEpiy76K\">5-6-49 tricky with three areas<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/0yJlmKYHkNG\" target=\"_blank\" rel=\"noreferrer noopener\">5-6-77 area in two pieces <\/a>(15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/screencast.com\/t\/ABRZEKhSNk\">Find Total Area of the Shaded Region 5-6-35<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/iWTHYd9c0Ef\" target=\"_blank\" rel=\"noreferrer noopener\">Area of the Region Enclosed By Two Curves 5-6-61<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"https:\/\/www.screencast.com\/t\/4QKJt597n\" target=\"_blank\" rel=\"noreferrer noopener\">Area of the Region Enclosed by the Curves 5-6-65<\/a> (15<sup>th<\/sup> Edition)<\/p>\n\n\n\n<p><a href=\"http:\/\/www.screencast.com\/t\/mgpD77C4Xgbz\">Two Subsections of Equal Area 5-6-75<\/a> (15<sup>th<\/sup> Edition)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Section 5.1 Area and Estimating with Finite SumsWorksheet &#8211; Area and Estimating with Finite Sums Section 5.2 Sigma NotationWorksheet &#8211; Sigma Notation Section 5.3 Definite IntegralWorksheet &#8211; Definite Integral Section 5.4 The Fundamental Theorem of Calculus&nbsp;(computational error in one of the examples!)Worksheet &#8211; The Fundamental Theorem of Calculus Section 5.5 Indefinite IntegralsWorksheet &#8211; Indefinite Integrals&hellip; <a class=\"more-link\" href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-141-calculus-1-chapter-5\/\">Continue reading <span class=\"screen-reader-text\">Math 141 Calculus 1 Chapter 5<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-425","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/425"}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=425"}],"version-history":[{"count":16,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/425\/revisions"}],"predecessor-version":[{"id":693,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/425\/revisions\/693"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}