x<\/sup> + C \n\\(={ x }^{ 2 }-3sinx+{ e }^{ x }\\) + C<\/p>\nQuestion 17. \n\\(\\int { \\left( { 2x }^{ 2 }-3sinx+5\\sqrt { x } \\right) dx } \\) \nSolution: \n <\/p>\n
Question 18. \n\\(\\int { secx(secx+tanx)dx } \\) \nSolution: \n\\(\\int { secx(secx+tanx)dx } \\) \n= \\(\\int\\left(\\sec ^{2} x+\\sec x \\tan x\\right) d x\\) \n= \u222bsec\u00b2 x dx + \u222bsec x tan x dx \n= tan x + sec + C<\/p>\n
Question 19. \n\\(\\int { \\frac { { sec }^{ 2 }x }{ { cosec }^{ 2 }x } dx } \\) \nSolution: \n= \\(\\int { \\frac { 1 }{ { cos }^{ 2 }x } } { sin }^{ 2 }xdx\\) \n= \\(\\int { tan } ^{ 2 }xdx\\quad\\) \n= \\(\\int\\left(\\sec ^{2} x-1\\right) d x\\) \n= tanx – x + c<\/p>\n
Question 20. \n\\(\\int { \\frac { 2-3sinx }{ { cos }^{ 2 }x } dx } \\) \nSolution: \n= \\(\\int { \\left( \\frac { 2 }{ { cos }^{ 2 }x } -3\\frac { sinx }{ { cos }^{ 2 }x } \\right) dx } \\) \n= \\(\\int { ({ 2sec }^{ 2 }x-3secxtanx)dx }\\) \n= 2tanx – 3secx + c<\/p>\n
Choose the correct answer in Exercises 21 and 22.<\/p>\n
Question 21. \nThe anti derivative \\(\\left( \\sqrt { x } +\\frac { 1 }{ \\sqrt { x } } \\right) \\) equals \n(a) \\(\\frac { 1 }{ 3 } { x }^{ \\frac { 1 }{ 3 } }+{ 2x }^{ \\frac { 1 }{ 2 } }+c\\) \n(b) \\(\\frac { 2 }{ 3 } { x }^{ \\frac { 2 }{ 3 } }+{ \\frac { 1 }{ 2 } x }^{ 2 }+c\\) \n(c) \\(\\frac { 2 }{ 3 } { x }^{ \\frac { 3 }{ 2 } }+{ 2x }^{ \\frac { 1 }{ 2 } }+c\\) \n(d) \\(\\frac { 3 }{ 2 } { x }^{ \\frac { 3 }{ 2 } }+\\frac { 1 }{ 2 } { x }^{ \\frac { 1 }{ 2 } }+c\\) \nSolution: \n(c) \\(\\frac { 2 }{ 3 } { x }^{ \\frac { 3 }{ 2 } }+{ 2x }^{ \\frac { 1 }{ 2 } }+c\\) \n <\/p>\n
Question 22. \nIf \\(\\frac { d }{ dx } f(x) = { 4x }^{ 3 } -\\frac { 3 }{ { x }^{ 4 } } \\) such that f(2) = 0 then f(x) is \n(a) \\({ x }^{ 4 }+\\frac { 1 }{ { x }^{ 3 } } -\\frac { 129 }{ 8 } \\) \n(b) \\({ x }^{ 3 }+\\frac { 1 }{ { x }^{ 4 } } +\\frac { 129 }{ 8 } \\) \n(c) \\({ x }^{ 4 }+\\frac { 1 }{ { x }^{ 3 } } +\\frac { 129 }{ 8 } \\) \n(d) \\({ x }^{ 3 }+\\frac { 1 }{ { x }^{ 4 } } -\\frac { 129 }{ 8 } \\) \nSolution: \n(a) \\({ x }^{ 4 }+\\frac { 1 }{ { x }^{ 3 } } -\\frac { 129 }{ 8 } \\) \n <\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-1\/ NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.1 Question 1. sin 2x Solution: Question 2. cos 3x Solution: Question 3. Solution: Question 4. (ax + c)\u00b2 Solution: Question …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.1<\/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 7.1 - 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