{"id":92694,"date":"2021-05-31T18:39:16","date_gmt":"2021-05-31T13:09:16","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=92694"},"modified":"2021-05-31T18:39:21","modified_gmt":"2021-05-31T13:09:21","slug":"ncert-solutions-class-12-maths-chapter-7-exercise-7-2","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2"},"content":{"rendered":"\n<p>NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2 is extremely helpful for the students. These solutions are created by our experts and will help you during your board exam preparation.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-7-integrals\/\"><strong>NCERT Solutions Class 12 Maths Chapter 7 Integrals<\/strong><\/a><\/li>\n<\/ul>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d3e28b54059\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d3e28b54059\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#download-free-pdf-for-ncert-solutions-class-12-maths-chapter-7-exercise-72\" title=\"Download Free PDF for NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\u00a0\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#topics-include-in-ncert-solutions-class-12-maths-chapter-7-exercise-72\" title=\"Topics include in NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\">Topics include in NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#access-other-exercise-solutions-of-class-12-maths-chapter-7-integrals\" title=\"Access Other Exercise Solutions of Class 12 Maths Chapter 7- Integrals\">Access Other Exercise Solutions of Class 12 Maths Chapter 7- Integrals<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#faq-ncert-solutions-class-12-maths-chapter-7-exercise-72\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\">FAQ: NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-7-exercise-72\" title=\"How many questions are there in NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2?\">How many questions are there in NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#on-what-topic-exercise-72-is-based\" title=\"On what topic Exercise 7.2 is based?\">On what topic Exercise 7.2 is based?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#who-formulated-the-principles-of-integration\" title=\"Who formulated the principles of Integration?\">Who formulated the principles of Integration?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#who-thought-of-the-importance-of-integrals-as-an-infinite-sum-of-rectangles-of-infinitesimal-width\" title=\"Who thought of the Importance of Integrals as an infinite sum of rectangles of infinitesimal width?\">Who thought of the Importance of Integrals as an infinite sum of rectangles of infinitesimal width?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#what-are-the-prominent-methods-of-integration\" title=\"What are the prominent methods of Integration?\">What are the prominent methods of Integration?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#are-these-solutions-a-reliable-source-of-studying\" title=\"Are these solutions a reliable source of studying?\">Are these solutions a reliable source of studying?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/#where-can-i-use-integration\" title=\"Where can I use Integration?\">Where can I use Integration?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-free-pdf-for-ncert-solutions-class-12-maths-chapter-7-exercise-72\"><\/span>Download Free PDF for NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\u00a0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/05\/7.2.pdf\">NCERT Solutions Class 12 for Maths Chapter 7 Exercise 7.2 PDF<\/a><\/p>\n<p>\u00a0<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/05\/7.2.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"topics-include-in-ncert-solutions-class-12-maths-chapter-7-exercise-72\"><\/span>Topics include in NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>This <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> Class 12 Exercise is based on the topics such as<\/p>\n<ul>\n<li>Integration by Substitution<\/li>\n<li>Integration using Partial Fractions<\/li>\n<li>Integration by Parts<\/li>\n<\/ul>\n<p>These topics can be used in the following manner<\/p>\n<p>You must understand that in Calculus, the Integration by substitution method is also called Reverse Chain Rule, or U-substitution Method. This method is generally used to find out the Integral value when it is set up in a unique form.<\/p>\n<p>Also, the Partial Fractions are generally used when an integrand is a rational function with its denominator that can be factorized out into smaller factors.<\/p>\n<p>Integration by parts is a special technique, which is used for the two functions when they are multiplied. It is also called partial integration. There are various formulas used in this method which you need to apply in the questions. Thus, whenever you look Multiplication sign try to use this method while integrating the questions.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-other-exercise-solutions-of-class-12-maths-chapter-7-integrals\"><\/span>Access Other Exercise Solutions of Class 12 Maths Chapter 7- Integrals<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.1<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.3<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.4<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.5<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.6<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.7<\/p>\n<p>&#8216;NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.8<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.9<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.10<\/p>\n<p>NCERT Solutions for Class 12 Maths\u00a0Chapter 7: Exercise 7.11<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-7-exercise-72\"><\/span>FAQ: NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1622205084668\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-7-exercise-72\"><\/span>How many questions are there in NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 39 questions in Chapter 7 Exercise 7.2.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622205105032\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"on-what-topic-exercise-72-is-based\"><\/span>On what topic Exercise 7.2 is based?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can refer to the above article to look at the topics.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622205105984\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"who-formulated-the-principles-of-integration\"><\/span>Who formulated the principles of Integration?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The principles of integration were formulated independently by the famous Isaac Newton.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622205106768\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"who-thought-of-the-importance-of-integrals-as-an-infinite-sum-of-rectangles-of-infinitesimal-width\"><\/span>Who thought of the Importance of Integrals as an infinite sum of rectangles of infinitesimal width?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Famous scholar Gottfried Wilhelm Leibniz.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622205110491\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-prominent-methods-of-integration\"><\/span>What are the prominent methods of Integration?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are three prominent methods of Integration:<br \/>Substitution method<br \/>Partial fractions method<br \/>Integration by parts<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622205111357\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-these-solutions-a-reliable-source-of-studying\"><\/span>Are these solutions a reliable source of studying?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, these solutions are a reliable source of study.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622205112187\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-use-integration\"><\/span>Where can I use Integration?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can Integration to find the value of many things in Maths, physics, economics.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2 is extremely helpful for the students. These solutions are created by our experts and will help you during your board exam preparation. NCERT Solutions Class 12 Maths Chapter 7 Integrals Download Free PDF for NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\u00a0 NCERT Solutions Class &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-7-exercise-7-2\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 7 Exercise 7.2\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":92695,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,73712,2985,73410],"tags":[75435,75433,75436],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92694"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=92694"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92694\/revisions"}],"predecessor-version":[{"id":93033,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92694\/revisions\/93033"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/92695"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=92694"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=92694"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=92694"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}