{"id":31820,"date":"2022-03-29T15:00:04","date_gmt":"2022-03-29T09:30:04","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=31820"},"modified":"2022-03-29T15:39:08","modified_gmt":"2022-03-29T10:09:08","slug":"ncert-solutions-for-class-12-maths-chapter-7-ex-7-3","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-3\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.3"},"content":{"rendered":"

These NCERT Solutions for Class 12 Maths<\/a> 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\/<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.3<\/h2>\n

\"NCERT<\/p>\n

Ncert Solutions Class 12 Maths Chapter 7 Exercise 7.3 Question 1.<\/strong>
\nsin\u00b2(2x+5)
\nSolution:
\n\u222bsin\u00b2(2x+5)dx
\n= \\(\\frac { 1 }{ 2 }\\)\u222b[1-cos2(2x+5)]dx
\n= \\(\\frac { 1 }{ 2 }\\)\u222b[1-cos(4x+10)]dx
\n= \\(\\frac { 1 }{ 2 } \\left[ x-\\frac { sin(4x+10) }{ 4 } \\right]\\) + C<\/p>\n

Question 2.
\nsin3x cos4x
\nSolution:
\n\u222bsin3x cos4x
\n= \\(\\frac { 1 }{ 2 }\\)\u222b[sin(3x+4x)+cos(3x-4x)]dx
\n= \\(\\frac { 1 }{ 2 }\\)\u222b[sin7x+sin(-x)]dx
\n= \\(-\\frac { 1 }{ 14 } cos7x+\\frac { 1 }{ 2 } cosx\\) + C<\/p>\n

Question 3.
\ncos 2x cos 4x cos 6x dx
\nSolution:
\n\"NCERT<\/p>\n

Question 4.
\nsin\u00b3(2x + 1)dx
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nsin3<\/sup> x cos3<\/sup> x
\nSolution:
\n\"NCERT<\/p>\n

Question 6.
\nsin x sin 2x sin 3x
\nSolution:
\n\"NCERT<\/p>\n

Question 7.
\nsin 4x sin 8x
\nSolution:
\n\u222bsin 4x sin 8x dx = \\(\\frac { 1 }{ 2 }\\)\u222bsin 4x sin 8xdx
\n= \\(\\frac { 1 }{ 2 }\\)\u222b(cos 4x – cos 12x)dx
\n= \\(\\frac { 1 }{ 2 } \\left[ \\frac { sin4x }{ 4 } -\\frac { sin12x }{ 12 } \\right] \\) + C<\/p>\n

Question 8.
\n\\(\\frac { 1-cosx }{ 1+cosx }\\)
\nSolution:
\n\\(\\int { \\frac { 1-cosx }{ 1+cosx } dx } \\)
\n\\(\\int { \\frac { { 2sin }^{ 2 }\\frac { x }{ 2 } }{ { 2cos }^{ 2 }\\frac { x }{ 2 } } dx } =\\int { { tan }^{ 2 }\\frac { x }{ 2 } dx } \\)
\n\\(=\\int { \\left[ { sec }^{ 2 }\\frac { x }{ 2 } -1 \\right] } dx\\quad =2tan\\frac { x }{ 2 } \\) – x + C<\/p>\n

\"NCERT<\/p>\n

Question 9.
\n\\(\\frac { cosx }{ 1+cosx }\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 10.
\n\u222bsinx4<\/sup> dx
\nSolution:
\n\"NCERT<\/p>\n

Question 11.
\ncos4<\/sup> 2x
\nSolution:
\n\"NCERT<\/p>\n

Question 12.
\n\\(\\frac { { sin }^{ 2 }x }{ 1+cosx } \\)
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 13.
\n\\(\\frac { cos2x-cos2\\alpha }{ cosx-cos\\alpha } \\)
\nSolution:
\n\"NCERT<\/p>\n

Question 14.
\n\\(\\frac { cosx-sinx }{ 1+sin2x }\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 15.
\ntan\u00b3 2x sec 2x
\nSolution:
\n\"NCERT<\/p>\n

Question 16.
\ntan4<\/sup>x
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 17.
\n\\(\\frac { { sin }^{ 3 }x+{ cos }^{ 3 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } \\)
\nSolution:
\n\"NCERT<\/p>\n

Question 18.
\n\\(\\frac { cos2x+{ 2sin }^{ 2 }x }{ { cos }^{ 2 }x } \\)
\nSolution:
\n\"NCERT<\/p>\n

Question 19.
\n\\(\\frac { 1 }{ sinx{ cos }^{ 3 }x } \\)
\nSolution:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 20.
\n\\(\\frac { cos2x }{ { (cosx+sinx) }^{ 2 } } \\)
\nSolution:
\n\"NCERT<\/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\"NCERT<\/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

\"NCERT<\/p>\n

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<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-3\/\" \/>\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 Integrals Ex 7.3 - 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