4<\/sup>x \nSolution: \n <\/p>\n <\/p>\n
Question 17. \n\\(\\frac { { sin }^{ 3 }x+{ cos }^{ 3 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } \\) \nSolution: \n <\/p>\n
Question 18. \n\\(\\frac { cos2x+{ 2sin }^{ 2 }x }{ { cos }^{ 2 }x } \\) \nSolution: \n <\/p>\n
Question 19. \n\\(\\frac { 1 }{ sinx{ cos }^{ 3 }x } \\) \nSolution: \n <\/p>\n
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Question 20. \n\\(\\frac { cos2x }{ { (cosx+sinx) }^{ 2 } } \\) \nSolution: \n <\/p>\n
Question 21. \nsin-1 (cos x) \nSolution: \n\\(\\int \\sin ^{-1}(\\cos x) d x=\\int \\sin ^{-1}\\left[\\sin \\left(\\frac{\\pi}{2}-x\\right)\\right] \\) dx \n\\(\\int\\left(\\frac{\\pi}{2}-x\\right) d x=\\frac{\\pi}{2} x-\\frac{x^{2}}{2}\\) + C<\/p>\n
Question 22. \n\\(\\int { \\frac { 1 }{ cos(x-a)cos(x-b) } dx } \\) \nSolution: \n <\/p>\n
Question 23. \n\\(\\int { \\frac { { sin }^{ 2 }x-{ cos }^{ 2 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } } dx\\quad is\\quad equal\\quad to\\) \n(a) tan x + cot x + C \n(b) tan x + cosec x + C \n(c) -tan x + cot x +C \n(d) tan x\u00a0 + sec x + C \nSolution: \n(a) \\(\\int { \\frac { { sin }^{ 2 }x-{ cos }^{ 2 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } } \\) dx \n= \\(\\int \\frac{\\sin ^{2} x}{\\sin ^{2} x \\cos ^{2} x} d x-\\int \\frac{\\cos ^{2} x}{\\sin ^{2} x \\cos ^{2} x} d x\\) \n= \u222b(sec\u00b2 x dx \u222bcosec\u00b2 x dx \n= tan x + cot x + C<\/p>\n
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Question 24. \n\\(\\int { \\frac { e^{ x }(1+x) }{ cos^{ 2 }({ e }^{ x }.{ x }) } } dx\\quad is\\quad equal\\quad to\\) \n(a) – cot(e.xx<\/sup>) + C \n(b) tan(xex<\/sup>) + C \n(c) tan(ex<\/sup>) + C \n(d) cot ex <\/sup>+ C \nSolution: \n(b) \\(\\int { \\frac { e^{ x }(1+x) }{ cos^{ 2 }({ e }^{ x }.{ x }) } } dx\\) \n= \u222bsec\u00b2t dt \n= tan t+c =\u00a0tan(xex<\/sup>) + C<\/p>\n","protected":false},"excerpt":{"rendered":"These NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.3 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-3\/ NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.3 Ncert Solutions Class 12 Maths Chapter 7 Exercise 7.3 Question 1. sin\u00b2(2x+5) Solution: \u222bsin\u00b2(2x+5)dx = \u222b[1-cos2(2x+5)]dx = \u222b[1-cos(4x+10)]dx = + …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.3<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[3],"tags":[],"yoast_head":"\nNCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.3 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n