{"id":57260,"date":"2019-08-26T16:00:09","date_gmt":"2019-08-26T10:30:09","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=57260"},"modified":"2021-09-18T15:17:45","modified_gmt":"2021-09-18T09:47:45","slug":"ncert-solutions-for-class-12-maths-chapter-7-ex-7-2","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.2"},"content":{"rendered":"<p>Get Free <strong>NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.2<\/strong>\u00a0PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.2 Class 12 Maths NCERT Solutions were prepared\u00a0by Experienced LearnCBSE.in Teachers.\u00a0Detailed answers of all the questions in Chapter 7 Maths <strong>Class\u00a012 Integrals<\/strong> Exercise 7.2 provided in NCERT Textbook.<\/p>\n<p>Free download NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 Integrals PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.<\/p>\n<p><strong>The topics and sub-topics included in the Integrals chapter are the following:<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td width=\"126\"><strong>Section Name<\/strong><\/td>\n<td width=\"438\"><strong>Topic Name<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7<\/td>\n<td width=\"438\">Integrals<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.1<\/td>\n<td width=\"438\">Introduction<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.2<\/td>\n<td width=\"438\">Integration as an Inverse Process of Differentiation<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.3<\/td>\n<td width=\"438\">Methods of Integration<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.4<\/td>\n<td width=\"438\">Integrals of some Particular Functions<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.5<\/td>\n<td width=\"438\">Integration by Partial Fractions<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.6<\/td>\n<td width=\"438\">Integration by Parts<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.7<\/td>\n<td width=\"438\">Definite Integral<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.8<\/td>\n<td width=\"438\">Fundamental Theorem of Calculus<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.9<\/td>\n<td width=\"438\">Evaluation of Definite Integrals by Substitution<\/td>\n<\/tr>\n<tr>\n<td width=\"126\">7.10<\/td>\n<td width=\"438\">Some Properties of Definite Integrals<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integration_Formulas\">Integration Formulas<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.1\">Integrals Class 12 Ex 7.1<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.1_in_Hindi_Medium\">Integrals Class 12 Ex 7.1 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/\">Integrals Class 12 Ex 7.2<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/#Integrals_Class_12_Ex_7.2_in_Hindi_Medium\">Integrals Class 12 Ex 7.2 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-3\/\">Integrals Class 12 Ex 7.3<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-3\/#Integrals_Class_12_Ex_7.3_in_Hindi_Medium\">Integrals Class 12 Ex 7.3 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-4\/\">Integrals Class 12 Ex 7.4<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-4\/#Integrals_Class_12_Ex_7.4_in_Hindi_Medium\">Integrals Class 12 Ex 7.4 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-5\/\">Integrals Class 12 Ex 7.5<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-5\/#Integrals_Class_12_Ex_7.5_in_Hindi_Medium\">Integrals Class 12 Ex 7.5 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.6\">Integrals Class 12 Ex 7.6<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-6\/#Integrals_Class_12_Ex_7.6_in_Hindi_Medium\">Integrals Class 12 Ex 7.6 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.7\">Integrals Class 12 Ex 7.7<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-7\/#Integrals_Class_12_Ex_7.7_in_Hindi_Medium\">Integrals Class 12 Ex 7.7 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.8\">Integrals Class 12 Ex 7.8<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-8\/#Integrals_Class_12_Ex_7.8_in_Hindi_Medium\">Integrals Class 12 Ex 7.8 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.9\">Integrals Class 12 Ex 7.9<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-9\/#Integrals_Class_12_Ex_7.9_in_Hindi_Medium\">Integrals Class 12 Ex 7.9 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.10\">Integrals Class 12 Ex 7.10<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-10\/#Integrals_Class_12_Ex_7.10_in_Hindi_Medium\">Integrals Class 12 Ex 7.10 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/#Integrals_Class_12_Ex_7.11\">Integrals Class 12 Ex 7.11<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-11\/#Integrals_Class_12_Ex_7.11_in_Hindi_Medium\">Integrals Class 12 Ex 7.11 in Hindi Medium<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-miscellaneous-exercise\/\">Integrals Class 12 Miscellaneous Exercise<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/rd-sharma-class-12-solutions-chapter-19-indefinite-integrals-ex-19-1\/\">RD Sharma Class 12 Integrals<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-exemplar-problems-class-12-mathematics-integrals\/\">NCERT Exemplar Class 12 Maths Integrals<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/integrals-class-12-notes\/\">Integrals Class 12 Notes Maths Chapter 7<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/important-questions-for-class-12-cbse-maths-types-of-integrals\/\">Important Questions Class 12 Maths Integrals<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/jee-main-previous-year-papers-questions-with-solutions-maths-indefinite-and-definite-integrals\/\">JEE Main Mathematics Definite and Indefinite Integrals<\/a><\/li>\n<\/ul>\n<h2>NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.2<\/h2>\n<p>NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.2 are part of <a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-12-maths\/\">NCERT Solutions for Class 12 Maths<\/a>. Here we have given Class 12 Maths NCERT Solutions Integrals Ex 7.2<\/p>\n<p>Integrate the functions in Exercises 1 to 37:<\/p>\n<p>Question 1.<br \/>\n\\(\\frac { 2x }{ 1+{ x }^{ 2 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-57266 size-full\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-1.png?resize=148%2C209&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2 Q 1\" width=\"148\" height=\"209\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 2.<br \/>\n\\(\\frac { { \\left( logx \\right) }^{ 2 } }{ x } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-57267 size-full\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-2.png?resize=227%2C235&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2 Q 2\" width=\"227\" height=\"235\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 3.<br \/>\n\\(\\frac { 1 }{ x+xlogx } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-57268 size-full\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-3.png?resize=182%2C250&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2 Q 3\" width=\"182\" height=\"250\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 4.<br \/>\nsinx sin(cosx)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57269\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-4.png?resize=272%2C174&#038;ssl=1\" alt=\"ncert solutions class 12 maths Chapter 7 Integrals Ex 7.2 Q 4\" width=\"272\" height=\"174\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 5.<br \/>\nsin(ax+b) cos(ax+b)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57271\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-5.png?resize=431%2C262&#038;ssl=1\" alt=\"class 12 integration NCERT Solutions Chapter 7 Ex 7.2 Q 5\" width=\"431\" height=\"262\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-5.png?w=431&amp;ssl=1 431w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-5.png?resize=300%2C182&amp;ssl=1 300w\" sizes=\"(max-width: 431px) 100vw, 431px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 6.<br \/>\n\\(\\sqrt { ax+b } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57272\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-6.png?resize=193%2C301&#038;ssl=1\" alt=\"class 12 integration NCERT Solutions Chapter 7 Ex 7.2 Q 6\" width=\"193\" height=\"301\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-6.png?w=193&amp;ssl=1 193w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-6.png?resize=192%2C300&amp;ssl=1 192w\" sizes=\"(max-width: 193px) 100vw, 193px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 7.<br \/>\n\\(x\\sqrt { x+2 } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57273\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-7.png?resize=287%2C376&#038;ssl=1\" alt=\"class 12 integration NCERT Solutions Chapter 7 Ex 7.2 Q 7\" width=\"287\" height=\"376\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-7.png?w=287&amp;ssl=1 287w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-7.png?resize=229%2C300&amp;ssl=1 229w\" sizes=\"(max-width: 287px) 100vw, 287px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 8.<br \/>\n\\(x\\sqrt { 1+{ 2x }^{ 2 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57274\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-8.png?resize=233%2C295&#038;ssl=1\" alt=\"class 12 maths integration NCERT Solutions Chapter 7 Ex 7.2 Q 8\" width=\"233\" height=\"295\" data-recalc-dims=\"1\" \/><\/p>\n<p>Question 9.<br \/>\n\\((4x+2)\\sqrt { { x }^{ 2 }+x+1 } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57275\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-9.png?resize=164%2C309&#038;ssl=1\" alt=\"class 12 maths integration NCERT Solutions Chapter 7 Ex 7.2 Q 9\" width=\"164\" height=\"309\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-9.png?w=164&amp;ssl=1 164w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-9.png?resize=159%2C300&amp;ssl=1 159w\" sizes=\"(max-width: 164px) 100vw, 164px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 10.<br \/>\n\\(\\frac { 1 }{ x-\\sqrt { x } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57276\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-10.png?resize=184%2C291&#038;ssl=1\" alt=\"class 12 maths integration NCERT Solutions Chapter 7 Ex 7.2 Q 10\" width=\"184\" height=\"291\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 11.<br \/>\n\\(\\frac { x }{ \\sqrt { x+4 } } ,x&gt;0\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57277\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-11.png?resize=334%2C224&#038;ssl=1\" alt=\"class 12 maths integration NCERT Solutions Chapter 7 Ex 7.2 Q 11\" width=\"334\" height=\"224\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-11.png?w=334&amp;ssl=1 334w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/class-12-maths-integration-NCERT-Solutions-Chapter-7-Ex-7.2-Q-11.png?resize=300%2C201&amp;ssl=1 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 12.<br \/>\n\\({ { (x }^{ 3 }-1) }^{ \\frac { 1 }{ 3 } }.{ x }^{ 5 }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57290\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-class-12-maths-solutions-Integrals-Ex-7.2-Q-12.png?resize=310%2C393&#038;ssl=1\" alt=\"ncert class 12 maths solutions Integrals Ex 7.2 Q 12\" width=\"310\" height=\"393\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-class-12-maths-solutions-Integrals-Ex-7.2-Q-12.png?w=310&amp;ssl=1 310w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-class-12-maths-solutions-Integrals-Ex-7.2-Q-12.png?resize=237%2C300&amp;ssl=1 237w\" sizes=\"(max-width: 310px) 100vw, 310px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 13.<br \/>\n\\(\\frac { { x }^{ 2 } }{ { { (2+3x }^{ 3 }) }^{ 3 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57291\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-class-12-maths-solutions-Integrals-Ex-7.2-Q-13.png?resize=246%2C278&#038;ssl=1\" alt=\"ncert class 12 maths solutions Integrals Ex 7.2 Q 13\" width=\"246\" height=\"278\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 14.<br \/>\n\\(\\frac { 1 }{ x(logx)^{ m } } ,x&gt;0\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57292\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-class-12-maths-solutions-Integrals-Ex-7.2-Q-14.png?resize=175%2C254&#038;ssl=1\" alt=\"ncert class 12 maths solutions Integrals Ex 7.2 Q 14\" width=\"175\" height=\"254\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 15.<br \/>\n\\(\\frac { x }{ 9-4{ x }^{ 2 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57292\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-class-12-maths-solutions-Integrals-Ex-7.2-Q-14.png?resize=175%2C254&#038;ssl=1\" alt=\"ncert class 12 maths solutions Integrals Ex 7.2 Q 14\" width=\"175\" height=\"254\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 16.<br \/>\n\\({ e }^{ 2x+3 }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57302\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-maths-solutions-class-12-Integration-Chapter-7-Ex-7.2-Q-16.png?resize=178%2C198&#038;ssl=1\" alt=\"ncert maths solutions class 12 Integration Chapter 7 Ex 7.2 Q 16\" width=\"178\" height=\"198\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 17.<br \/>\n\\(\\frac { x }{ { e }^{ { x }^{ 2 } } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57303\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-maths-solutions-class-12-Integration-Chapter-7-Ex-7.2-Q-17.png?resize=145%2C304&#038;ssl=1\" alt=\"ncert maths solutions class 12 Integration Chapter 7 Ex 7.2 Q 17\" width=\"145\" height=\"304\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-maths-solutions-class-12-Integration-Chapter-7-Ex-7.2-Q-17.png?w=145&amp;ssl=1 145w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-maths-solutions-class-12-Integration-Chapter-7-Ex-7.2-Q-17.png?resize=143%2C300&amp;ssl=1 143w\" sizes=\"(max-width: 145px) 100vw, 145px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 18.<br \/>\n\\(\\frac { { e }^{ { tan }^{ -1 }x } }{ 1+{ x }^{ 2 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57304\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-maths-solutions-class-12-Integration-Chapter-7-Ex-7.2-Q-18.png?resize=146%2C193&#038;ssl=1\" alt=\"ncert maths solutions class 12 Integration Chapter 7 Ex 7.2 Q 18\" width=\"146\" height=\"193\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 19.<br \/>\n\\(\\frac { { e }^{ 2x }-1 }{ { e }^{ 2x }+1 } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57282\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/integration-ncert-solutions-Class-12-chapter-7-Ex-7.2-Q-19.png?resize=387%2C418&#038;ssl=1\" alt=\"integration ncert solutions Class 12 chapter 7 Ex 7.2 Q 19\" width=\"387\" height=\"418\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/integration-ncert-solutions-Class-12-chapter-7-Ex-7.2-Q-19.png?w=387&amp;ssl=1 387w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/integration-ncert-solutions-Class-12-chapter-7-Ex-7.2-Q-19.png?resize=278%2C300&amp;ssl=1 278w\" sizes=\"(max-width: 387px) 100vw, 387px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 20.<br \/>\n\\(\\frac { { e }^{ 2x }-{ e }^{ 2x } }{ { e }^{ 2x }+{ e }^{ -2x } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57283\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/integration-ncert-solutions-Class-12-chapter-7-Ex-7.2-Q-20.png?resize=267%2C291&#038;ssl=1\" alt=\"integration ncert solutions Class 12 chapter 7 Ex 7.2 Q 20\" width=\"267\" height=\"291\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 21.<br \/>\ntan\u00b2(2x-3)<br \/>\nSolution:<br \/>\n\u222btan\u00b2(2x-3)dx = \u222b[sec\u00b2(2x-3)-1]dx = I<br \/>\nput 2x-3 = t<br \/>\nso that 2dx = dt<br \/>\nI = \\(\\frac { 1 }{ 2 }\\) \u222bsec\u00b2t dt-x+c<br \/>\n= \\(\\frac { 1 }{ 2 }t-x+c\\)<br \/>\n= \\(\\frac { 1 }{ 2 }tan(2x-3)-x+c\\)<br \/>\nQuestion 22.<br \/>\nsec\u00b2(7-4x)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57288\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/maths-class-12-ncert-solutions-Chapter-7-Integration-Ex-7.2-Q-22.png?resize=265%2C194&#038;ssl=1\" alt=\"maths class 12 ncert solutions Chapter 7 Integration Ex 7.2 Q 22\" width=\"265\" height=\"194\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 23.<br \/>\n\\(\\frac { { sin }^{ -1 }x }{ \\sqrt { 1-{ x }^{ 2 } } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57289\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/maths-class-12-ncert-solutions-Chapter-7-Integration-Ex-7.2-Q-23.png?resize=157%2C252&#038;ssl=1\" alt=\"maths class 12 ncert solutions Chapter 7 Integration Ex 7.2 Q 23\" width=\"157\" height=\"252\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 24.<br \/>\n\\(\\frac { 2cosx-3sinx }{ 6cosx+4sinx }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57278\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-24.png?resize=307%2C301&#038;ssl=1\" alt=\"Ex 7.2 class 12 maths NCERT Solutions Q 24\" width=\"307\" height=\"301\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-24.png?w=307&amp;ssl=1 307w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-24.png?resize=300%2C294&amp;ssl=1 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 25.<br \/>\n\\(\\frac { 1 }{ { cos }^{ 2 }x{ (1-tanx) }^{ 2 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57279\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-25.png?resize=237%2C310&#038;ssl=1\" alt=\"Ex 7.2 class 12 maths NCERT Solutions Q 25\" width=\"237\" height=\"310\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-25.png?w=237&amp;ssl=1 237w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-25.png?resize=229%2C300&amp;ssl=1 229w\" sizes=\"(max-width: 237px) 100vw, 237px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 26.<br \/>\n\\(\\frac { cos\\sqrt { x } }{ \\sqrt { x } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57280\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-26.png?resize=200%2C196&#038;ssl=1\" alt=\"Ex 7.2 class 12 maths NCERT Solutions Q 26\" width=\"200\" height=\"196\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 27.<br \/>\n\\(\\sqrt { sin2x } cos2x\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57281\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Ex-7.2-class-12-maths-NCERT-Solutions-Q-27.png?resize=267%2C283&#038;ssl=1\" alt=\"Ex 7.2 class 12 maths NCERT Solutions Q 27\" width=\"267\" height=\"283\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 28.<br \/>\n\\(\\frac { cosx }{ \\sqrt { 1+sinx } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57284\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Integration-Solutions-class-12-Maths-Chapter-7-Ex-7.2-Q-28.png?resize=232%2C241&#038;ssl=1\" alt=\"Integration Solutions class 12 Maths Chapter 7 Ex 7.2 Q 28\" width=\"232\" height=\"241\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 29.<br \/>\ncotx log sinx<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57285\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Integration-Solutions-class-12-Maths-Chapter-7-Ex-7.2-Q-29.png?resize=271%2C235&#038;ssl=1\" alt=\"Integration Solutions class 12 Maths Chapter 7 Ex 7.2 Q 29\" width=\"271\" height=\"235\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 30.<br \/>\n\\(\\frac { sinx }{ 1+cosx }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57286\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/Integration-Solutions-class-12-Maths-Chapter-7-Ex-7.2-Q-30.png?resize=252%2C169&#038;ssl=1\" alt=\"Integration Solutions class 12 Maths Chapter 7 Ex 7.2 Q 30\" width=\"252\" height=\"169\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 31.<br \/>\n\\(\\frac { sinx }{ { (1+cosx) }^{ 2 } } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57299\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-31.png?resize=225%2C239&#038;ssl=1\" alt=\"NCERT Maths Class 12 Solutions Chapter 7 Ex 7.2 Q 31\" width=\"225\" height=\"239\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 32.<br \/>\n\\(\\frac { 1 }{ 1+cotx }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57300\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-32.png?resize=320%2C506&#038;ssl=1\" alt=\"NCERT Maths Class 12 Solutions Chapter 7 Ex 7.2 Q 32\" width=\"320\" height=\"506\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-32.png?w=320&amp;ssl=1 320w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-32.png?resize=190%2C300&amp;ssl=1 190w\" sizes=\"(max-width: 320px) 100vw, 320px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 33.<br \/>\n\\(\\frac { 1 }{ 1-tanx }\\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57301\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-33.png?resize=341%2C506&#038;ssl=1\" alt=\"NCERT Maths Class 12 Solutions Chapter 7 Ex 7.2 Q 33\" width=\"341\" height=\"506\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-33.png?w=341&amp;ssl=1 341w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Maths-Class-12-Solutions-Chapter-7-Ex-7.2-Q-33.png?resize=202%2C300&amp;ssl=1 202w\" sizes=\"(max-width: 341px) 100vw, 341px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 34.<br \/>\n\\(\\frac { \\sqrt { tanx } }{ sinxcosx } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57294\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-34.png?resize=212%2C324&#038;ssl=1\" alt=\"NCERT Integration Solutions Ex 7.2 Q 34\" width=\"212\" height=\"324\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-34.png?w=212&amp;ssl=1 212w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-34.png?resize=196%2C300&amp;ssl=1 196w\" sizes=\"(max-width: 212px) 100vw, 212px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 35.<br \/>\n\\(\\frac { { (1+logx) }^{ 2 } }{ x } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57295\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-35.png?resize=247%2C232&#038;ssl=1\" alt=\"NCERT Integration Solutions Ex 7.2 Q 35\" width=\"247\" height=\"232\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 36.<br \/>\n\\(\\frac { (x+1){ (x+logx) }^{ 2 } }{ x } \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57296\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-36.png?resize=401%2C291&#038;ssl=1\" alt=\"NCERT Integration Solutions Ex 7.2 Q 36\" width=\"401\" height=\"291\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-36.png?w=401&amp;ssl=1 401w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-36.png?resize=300%2C218&amp;ssl=1 300w\" sizes=\"(max-width: 401px) 100vw, 401px\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 37.<br \/>\n\\(\\frac { { x }^{ 3 }sin({ tan }^{ -1 }{ x }^{ 4 }) }{ 1+{ x }^{ 8 } } dx \\)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57297\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-37.png?resize=431%2C430&#038;ssl=1\" alt=\"NCERT Integration Solutions Ex 7.2 Q 37\" width=\"431\" height=\"430\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-37.png?w=431&amp;ssl=1 431w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-37.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-37.png?resize=300%2C300&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-37.png?resize=100%2C100&amp;ssl=1 100w\" sizes=\"(max-width: 431px) 100vw, 431px\" data-recalc-dims=\"1\" \/><br \/>\nChoose the correct answer in exercises 38 and 39<\/p>\n<p>Question 38.<br \/>\n\\(\\int { \\frac { { 10x }^{ 9 }+{ 10 }^{ x }log{ e }^{ 10 } }{ { x }^{ 10 }+{ 10 }^{ x } } dx } \\)<br \/>\n(a) 10x &#8211; x10 + C<br \/>\n(b) 10x + x10 + C<br \/>\n(c) (10x &#8211; x10) + C<br \/>\n(d) log (10x + x10) + C<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57298\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Integration-Solutions-Ex-7.2-Q-38.png?resize=239%2C217&#038;ssl=1\" alt=\"NCERT Integration Solutions Ex 7.2 Q 38\" width=\"239\" height=\"217\" data-recalc-dims=\"1\" \/><br \/>\nQuestion 39.<br \/>\n\\(\\int { \\frac { dx }{ { sin }^{ 2 }x{ \\quad cos }^{ 2 }x } = } \\)<br \/>\n(a) tanx + cotx + c<br \/>\n(b) tanx &#8211; cotx + c<br \/>\n(c) tanx cotx + c<br \/>\n(d) tanx &#8211; cot2x + c<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-57305\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/NCERT-Solutions-for-Class-12-Maths-integrals-Ex-7.2-Q-39.png?resize=232%2C210&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths integrals Ex 7.2 Q 39\" width=\"232\" height=\"210\" data-recalc-dims=\"1\" \/><\/p>\n<h3><a id=\"Integrals_Class_12_Ex_7.2_in_Hindi_Medium\"><\/a>\u0917\u0923\u093f\u0924 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2<\/h3>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 1 \u0938\u0947 37 \u0924\u0915 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092b\u0932\u0928\u0947 \u0915\u093e \u0938\u092e\u093e\u0915\u0932\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f<\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4888\/46127081331_304fa8458d_o.png?resize=62%2C47&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 1\" width=\"62\" height=\"47\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4835\/32256029888_c30dfa3475_o.png?resize=556%2C166&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 1.1\" width=\"556\" height=\"166\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4870\/46127081651_54dfb97b1e_o.png?resize=115%2C56&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 2\" width=\"115\" height=\"56\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4896\/45403199004_95017f65ff_o.png?resize=434%2C91&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 2.1\" width=\"434\" height=\"91\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4863\/45215644085_47584a052d_o.png?resize=106%2C43&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 3\" width=\"106\" height=\"43\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4882\/45403199124_b52418814a_o.png?resize=565%2C84&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 3.1\" width=\"565\" height=\"84\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 4.<br \/>\nsin x sin (cos x)<br \/>\n\u0939\u0932-<br \/>\n\u092e\u093e\u0928\u0940 I = \u222b sin x sin (cos x) dx &#8230;(1)<br \/>\n\u092e\u093e\u0928\u093e cos x = t, \u0926\u094b\u0928\u094b\u0902 \u092a\u0915\u094d\u0937\u094b\u0902 \u0915\u093e x \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u0935\u0915\u0932\u0928 \u0915\u0930\u0928\u0947 \u092a\u0930,<br \/>\n&#8211; sin x dx = dt \u21d2 sin x dx = &#8211; dt<br \/>\n\u2234(1) \u0938\u0947, I = \u222bsin (cos x) (sin x) dx = -\u222bsint dt<br \/>\n= cos t + C = cos (cos x) + C<\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 5.<br \/>\nsin (ax + b) cos (ax + b)<br \/>\n\u0939\u0932-<br \/>\n\u092e\u093e\u0928\u093e I = \u222bsin (ax + b) cos (ax + b) dx<br \/>\n\u092e\u093e\u0928\u093e sin (ax + b) = t, \u0926\u094b\u0928\u094b\u0902 \u092a\u0915\u094d\u0937\u094b\u0902 \u0915\u093e x \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u0935\u0915\u0932\u0928 \u0915\u0930\u0928\u0947 \u092a\u0930,<br \/>\na cos (ax + b) dx = dt<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4811\/45403199304_d35d1285d1_o.png?resize=417%2C133&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 5\" width=\"417\" height=\"133\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4836\/46127082311_705b491664_o.png?resize=75%2C33&#038;ssl=1\" alt=\"\u0917\u0923\u093f\u0924 \u090f\u0928\u0938\u0940\u0908\u0906\u0930\u091f\u0940 \u0939\u0932 \u0915\u0915\u094d\u0937\u093e 12 \u0938\u092e\u093e\u0915\u0932\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 7.2 6\" width=\"75\" height=\"33\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4827\/46127082601_f2123a9cec_o.png?resize=567%2C224&#038;ssl=1\" alt=\"integration ncert solutions 6.1\" width=\"567\" height=\"224\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4916\/45215644915_7a50a88f76_o.png?resize=73%2C29&#038;ssl=1\" alt=\"ex 7.2 class 12\" width=\"73\" height=\"29\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4848\/44310809750_986ba01ece_o.png?resize=542%2C193&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals 7.1\" width=\"542\" height=\"193\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4887\/45403199624_652324e711_o.png?resize=92%2C32&#038;ssl=1\" alt=\"integrals class 12 ncert solutions pdf\" width=\"92\" height=\"32\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4846\/46127082911_b80481ffb8_o.png?resize=557%2C165&#038;ssl=1\" alt=\"integration questions for class 12 pdf\" width=\"557\" height=\"165\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4830\/45215645345_d10d042a31_o.png?resize=499%2C135&#038;ssl=1\" alt=\"integration full chapter pdf\" width=\"499\" height=\"135\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4886\/46127083241_6926104604_o.png?resize=171%2C32&#038;ssl=1\" alt=\"integrals solutions\" width=\"171\" height=\"32\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4854\/45215645815_b17493b541_o.png?resize=558%2C306&#038;ssl=1\" alt=\"integration ncert\" width=\"558\" height=\"306\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4840\/45215645905_5b6f538c8d_o.png?resize=70%2C48&#038;ssl=1\" alt=\"class 12 integration\" width=\"70\" height=\"48\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4852\/45215646005_364a4f87b5_o.png?resize=231%2C164&#038;ssl=1\" alt=\"integrals class 12 important questions\" width=\"231\" height=\"164\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 11.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4895\/45215646155_91735d7d28_o.png?resize=116%2C51&#038;ssl=1\" alt=\"definite integral problems and solutions\" width=\"116\" height=\"51\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4842\/45215646415_df9a3b2b8a_o.png?resize=492%2C205&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2\" width=\"492\" height=\"205\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 12.<br \/>\n(x<sup>3<\/sup> &#8211; 1)<sup>1\/3<\/sup> x<sup>5<\/sup><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4835\/45215646575_93a31190a4_o.png?resize=564%2C133&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 in PDF\" width=\"564\" height=\"133\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4916\/45215646685_2809433c44_o.png?resize=510%2C218&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 in English Medium\" width=\"510\" height=\"218\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 13.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4847\/45215646745_9fdd92fda1_o.png?resize=97%2C54&#038;ssl=1\" alt=\"12 Maths ex. 7.2\" width=\"97\" height=\"54\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4807\/46077114652_aac01816d9_o.png?resize=568%2C234&#038;ssl=1\" alt=\"integration 7.2\" width=\"568\" height=\"234\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 14<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4818\/44310811300_ae89161cb0_o.png?resize=138%2C53&#038;ssl=1\" alt=\"12 maths Exercise 7.2 integration\" width=\"138\" height=\"53\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4822\/45215647005_972094d190_o.png?resize=562%2C151&#038;ssl=1\" alt=\"12 maths chpater 7 ex. 7.2\" width=\"562\" height=\"151\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 15<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4869\/46077114902_f43b2023e2_o.png?resize=68%2C50&#038;ssl=1\" alt=\"exercise 7.2 class 12\" width=\"68\" height=\"50\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4813\/46077115122_7e2eba23e5_o.png?resize=567%2C230&#038;ssl=1\" alt=\"integrals 7.2\" width=\"567\" height=\"230\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 16.<br \/>\ne<sup>2x+3<\/sup><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4851\/45215647325_18524ebc00_o.png?resize=367%2C38&#038;ssl=1\" alt=\"7.2 for 12 maths\" width=\"367\" height=\"38\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 17.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4822\/46077115252_27a54acefd_o.png?resize=38%2C49&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 for up board\" width=\"38\" height=\"49\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4904\/46077115392_5c1706ef91_o.png?resize=564%2C149&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 for gujrat board\" width=\"564\" height=\"149\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 18.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4899\/45215647545_758b9da107_o.png?resize=80%2C59&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 for mp board\" width=\"80\" height=\"59\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4908\/46077115702_4a454ccb79_o.png?resize=359%2C94&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 hindi medium\" width=\"359\" height=\"94\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 19.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4805\/45403201494_bfdb8e8583_o.png?resize=69%2C52&#038;ssl=1\" alt=\"12 Maths Chapter 7\" width=\"69\" height=\"52\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4820\/46077116022_5bc08e785b_o.png?resize=562%2C218&#038;ssl=1\" alt=\"Exercise 7.2 all questions\" width=\"562\" height=\"218\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 20.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4881\/45403201664_13f205bc15_o.png?resize=101%2C57&#038;ssl=1\" alt=\"12 Maths 7.2\" width=\"101\" height=\"57\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4913\/46077116212_0f96309ae8_o.png?resize=291%2C111&#038;ssl=1\" alt=\"7.2 of 12 Maths\" width=\"291\" height=\"111\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 21.<br \/>\ntan\u00b2(2x &#8211; 3)<br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4847\/31187999137_edc57d820d_o.png?resize=555%2C211&#038;ssl=1\" alt=\"Class 12 xercise 7.2 solutions\" width=\"555\" height=\"211\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 22.<br \/>\nsec\u00b2(7 &#8211; 4x)<br \/>\n\u0939\u0932-<br \/>\n\u092e\u093e\u0928\u093e<br \/>\nI = \u222bsec\u00b2(7 &#8211; 4x) &#8230;(1)<br \/>\n\u092e\u093e\u0928\u093e 7 &#8211; 4x = t, \u0926\u094b\u0928\u094b\u0902 \u092a\u0915\u094d\u0937\u094b\u0902 \u0915\u093e x \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u0935\u0915\u0932\u0928 \u0915\u0930\u0928\u0947 \u092a\u0930,<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4818\/46077116462_bcaaaf7856_o.png?resize=537%2C99&#038;ssl=1\" alt=\"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.2 guide free\" width=\"537\" height=\"99\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 23.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4831\/31187999357_9416d8b29a_o.png?resize=78%2C61&#038;ssl=1\" alt=\"Class 12 Maths Chapter 7 Exercise 7.2 guide\" width=\"78\" height=\"61\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4810\/31187999757_b78336d8a1_o.png?resize=566%2C167&#038;ssl=1\" alt=\"integral calculus problems with solutions pdf\" width=\"566\" height=\"167\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 24.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4847\/46127081181_85767e6de3_o.png?resize=153%2C47&#038;ssl=1\" alt=\"ncert solutions for class 12 maths chapter 7 pdf\" width=\"153\" height=\"47\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4891\/45403198744_c8005cc2b2_o.png?resize=562%2C198&#038;ssl=1\" alt=\"ncert solutions for class 12 maths integrals\" width=\"562\" height=\"198\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 25.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4913\/46127080801_c7dd213e85_o.png?resize=162%2C55&#038;ssl=1\" alt=\"learncbse.in ncert solutions for class 12 maths integrals\" width=\"162\" height=\"55\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4808\/32256029578_f0c6e5a9fc_o.png?resize=568%2C245&#038;ssl=1\" alt=\"ncert integration solutions\" width=\"568\" height=\"245\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 26.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4893\/32256029108_392f576b77_o.png?resize=72%2C54&#038;ssl=1\" alt=\"ncert integration solutions\" width=\"72\" height=\"54\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4908\/32256029288_af6449fcab_o.png?resize=568%2C84&#038;ssl=1\" alt=\"integration class 12 pdf\" width=\"568\" height=\"84\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4821\/46127080591_bc8848f02e_o.png?resize=427%2C104&#038;ssl=1\" alt=\"ncert solutions integrals\" width=\"427\" height=\"104\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 27.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4823\/45215934545_6025c0c0dc_o.png?resize=139%2C31&#038;ssl=1\" alt=\"+2 maths integrals\" width=\"139\" height=\"31\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4844\/45215934935_7bdcd5e76f_o.png?resize=558%2C230&#038;ssl=1\" alt=\"ch7 integrals\" width=\"558\" height=\"230\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 28.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4872\/44311095420_03b2fa2ba8_o.png?resize=91%2C52&#038;ssl=1\" alt=\"class 12 maths integration\" width=\"91\" height=\"52\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4803\/31188340627_a6853e759e_o.png?resize=556%2C186&#038;ssl=1\" alt=\"UP Board Solutions for Class 12 Maths Chapter 7 Integrals 28.1\" width=\"556\" height=\"186\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 29.<br \/>\ncot x log sin x<br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4870\/31188340737_bc8c73b29b_o.png?resize=567%2C147&#038;ssl=1\" alt=\"integrate in hindi\" width=\"567\" height=\"147\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 30.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4895\/31188340747_f4cda867b5_o.png?resize=80%2C45&#038;ssl=1\" alt=\"chapter 7 maths class 12\" width=\"80\" height=\"45\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4863\/31188340927_d26a6fd3bd_o.png?resize=563%2C151&#038;ssl=1\" alt=\"class 12 maths chapter 7 solutions\" width=\"563\" height=\"151\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4805\/31188340967_4b1ed1c98b_o.png?resize=179%2C56&#038;ssl=1\" alt=\"integration solutions class 12\" width=\"179\" height=\"56\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 31.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4808\/31188341067_8fc12df038_o.png?resize=105%2C57&#038;ssl=1\" alt=\"integration as limit of sum\" width=\"105\" height=\"57\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4887\/46077391462_af8a946a4b_o.png?resize=562%2C160&#038;ssl=1\" alt=\"ncert solutions of integrals\" width=\"562\" height=\"160\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 32.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4821\/31188341297_4dc87c6913_o.png?resize=77%2C51&#038;ssl=1\" alt=\"definite integral pdf\" width=\"77\" height=\"51\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4910\/31188342317_ab29f340d5_o.png?resize=565%2C402&#038;ssl=1\" alt=\"ch7 maths class 12\" width=\"565\" height=\"402\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 33.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4816\/31188342337_de1dc4cf2f_o.png?resize=86%2C49&#038;ssl=1\" alt=\"class 12 integration important questions\" width=\"86\" height=\"49\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4819\/46077393122_fec141dfa0_o.png?resize=481%2C214&#038;ssl=1\" alt=\"class 12 maths ncert solutions chapter 7\" width=\"481\" height=\"214\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4830\/44311097860_e5da1cb2cc_o.png?resize=576%2C187&#038;ssl=1\" alt=\"integration solutions\" width=\"576\" height=\"187\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 34.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4842\/46077393232_d402294d5a_o.png?resize=106%2C51&#038;ssl=1\" alt=\"integration questions and solutions\" width=\"106\" height=\"51\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4895\/31188343187_d203feda77_o.png?resize=567%2C258&#038;ssl=1\" alt=\"ncert integrals solutions\" width=\"567\" height=\"258\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 35.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4877\/44311094910_df12921b9f_o.png?resize=65%2C30&#038;ssl=1\" alt=\"integration class 12 cbse important questions\" width=\"65\" height=\"30\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i1.wp.com\/farm5.staticflickr.com\/4912\/44311098090_b1f3125eea_o.png?resize=228%2C112&#038;ssl=1\" alt=\"class 12 integration ncert solutions\" width=\"228\" height=\"112\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 36.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4813\/44311094790_fc9041c9a6_o.png?resize=163%2C51&#038;ssl=1\" alt=\"integration in maths\" width=\"163\" height=\"51\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4882\/45215934485_47164b2b10_o.png?resize=557%2C239&#038;ssl=1\" alt=\"integrals class 12 solutions\" width=\"557\" height=\"239\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 37.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4831\/45215933755_37daaab7fe_o.png?resize=156%2C55&#038;ssl=1\" alt=\"chapter 7 class 12 maths\" width=\"156\" height=\"55\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4857\/45215934145_c704de00d8_o.png?resize=559%2C119&#038;ssl=1\" alt=\"exercise 7.2 class 12\" width=\"559\" height=\"119\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/i2.wp.com\/farm5.staticflickr.com\/4821\/31188339777_634053e649_o.png?resize=515%2C204&#038;ssl=1\" alt=\"ex 7.2 class 12\" width=\"515\" height=\"204\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 38.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4866\/32256408298_0abb541116_o.png?resize=442%2C112&#038;ssl=1\" alt=\"properties of definite integrals class 12\" width=\"442\" height=\"112\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4807\/31188425757_d028d69d51_o.png?resize=540%2C127&#038;ssl=1\" alt=\"integrals class 12 important questions pdf\" width=\"540\" height=\"127\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 39.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4849\/32256407988_dd7ea67d09_o.png?resize=433%2C100&#038;ssl=1\" alt=\"UP Board Solutions for Class 12 Maths Chapter 7 Integrals 39\" width=\"433\" height=\"100\" data-recalc-dims=\"1\" \/><br \/>\n\u0939\u0932-<br \/>\n<img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/farm5.staticflickr.com\/4888\/32256408128_f08392e5fb_o.png?resize=458%2C118&#038;ssl=1\" alt=\"UP Board Solutions for Class 12 Maths Chapter 7 Integrals 39.1\" width=\"458\" height=\"118\" data-recalc-dims=\"1\" \/><\/p>\n<div class=\"featured-snippet\">\n<h3>Class 12 Maths NCERT Solutions<\/h3>\n<ul>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-relations-and-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 1 Relations and Functions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-inverse-trigonometric-functions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 2 Inverse Trigonometric Functions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12th-maths-chapter-3-matrices\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 3 Matrices<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12th-maths-chapter-4-determinants\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 4 Determinants<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-continuity-and-differentiability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 5 Continuity and Differentiability<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-application-of-derivatives\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 6 Application of Derivatives<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-integrals\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 7 Integrals Ex 7.1<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12th-maths-chapter-8-application-of-integrals\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 8 Application of Integrals<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-differential-equations\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 9 Differential Equations<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12th-maths-chapter-10-vector-algebra\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 10 Vector Algebra<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12th-maths-chapter-11-three-dimensional-geometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 11 Three Dimensional Geometry<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12th-maths-chapter-12-linear-programming\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 12 Linear Programming<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-probability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 13 Probability Ex 13.1<\/a><\/strong><\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Get Free NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.2\u00a0PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.2 Class 12 Maths NCERT Solutions were prepared\u00a0by Experienced LearnCBSE.in Teachers.\u00a0Detailed answers of all the questions in Chapter 7 Maths Class\u00a012 Integrals Exercise 7.2 provided in NCERT Textbook. &hellip;<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2 solved by expert Teachers at LearnCBSE.in as per NCERT (CBSE) Guidelines to Score good marks in the board Exams. Class 12 Maths Integrals Exercise 7.2 NCERT Soutions for CBSE Board, UP Board, MP Board, Bihar, Uttarakhand board and all other boards following new CBSE Syllabus free to download in PDF form. Ex 7.2 Class 12 Integrals solutions are updated as per the Latest CBSE Curriculum 2018-19 based on updated NCERT Books.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.2\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2 solved by expert Teachers at LearnCBSE.in as per NCERT (CBSE) Guidelines to Score good marks in the board Exams. Class 12 Maths Integrals Exercise 7.2 NCERT Soutions for CBSE Board, UP Board, MP Board, Bihar, Uttarakhand board and all other boards following new CBSE Syllabus free to download in PDF form. Ex 7.2 Class 12 Integrals solutions are updated as per the Latest CBSE Curriculum 2018-19 based on updated NCERT Books.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Labs\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/ncertsolutionsbooks\/\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/veerendracbse\" \/>\n<meta property=\"article:published_time\" content=\"2019-08-26T10:30:09+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-09-18T09:47:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:creator\" content=\"@VeerendraCBSE\" \/>\n<meta name=\"twitter:site\" content=\"@learncbse\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Veerendra\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.cbselabs.com\/#organization\",\"name\":\"LearnCBSE\",\"url\":\"https:\/\/www.cbselabs.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/ncertsolutionsbooks\/\",\"https:\/\/www.instagram.com\/learncbse.in\/\",\"https:\/\/www.youtube.com\/user\/CBSEPapers\",\"https:\/\/in.pinterest.com\/learncbsein\/\",\"https:\/\/twitter.com\/learncbse\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.cbselabs.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2017\/01\/LearnCBSE.in_.png?fit=210%2C198&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2017\/01\/LearnCBSE.in_.png?fit=210%2C198&ssl=1\",\"width\":210,\"height\":198,\"caption\":\"LearnCBSE\"},\"image\":{\"@id\":\"https:\/\/www.cbselabs.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.cbselabs.com\/#website\",\"url\":\"https:\/\/www.cbselabs.com\/\",\"name\":\"CBSE Labs\",\"description\":\"NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12\",\"publisher\":{\"@id\":\"https:\/\/www.cbselabs.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.cbselabs.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-1.png?fit=148%2C209&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/12\/ncert-solutions-class-12-maths-Chapter-7-Integrals-Ex-7.2-Q-1.png?fit=148%2C209&ssl=1\",\"width\":148,\"height\":209,\"caption\":\"ncert solutions class 12 maths Chapter 7 Integrals Ex 7.2 Q 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/#webpage\",\"url\":\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/\",\"name\":\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2\",\"isPartOf\":{\"@id\":\"https:\/\/www.cbselabs.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-2\/#primaryimage\"},\"datePublished\":\"2019-08-26T10:30:09+00:00\",\"dateModified\":\"2021-09-18T09:47:45+00:00\",\"description\":\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.2 solved by expert Teachers at LearnCBSE.in as per NCERT (CBSE) Guidelines to Score good marks in the board Exams. Class 12 Maths Integrals Exercise 7.2 NCERT Soutions for CBSE Board, UP Board, MP Board, Bihar, Uttarakhand board and all other boards following new CBSE Syllabus free to download in PDF form. 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