5<\/sup> x \nf(2\u03c0 – x) = f(x) \n <\/p>\n <\/p>\n
Question 15. \n\\(\\int _{ 0 }^{ \\frac { \\pi }{ 2 } }{ \\frac { sinx-cosx }{ 1+sinx\\quad cosx } dx } \\) \nSolution: \n <\/p>\n
Question 16. \n\\(\\int_{0}^{\\pi} \\log (1+\\cos x) d x\\) \nSolution: \n <\/p>\n
Question 17. \n\\(\\int_{0}^{a} \\frac{\\sqrt{x}}{\\sqrt{x}+\\sqrt{a-x}} d x\\) \nSolution: \n <\/p>\n
<\/p>\n
Question 18. \n\\(\\int_{0}^{4}|x-1| d x\\) \nSolution: \n <\/p>\n
Question 19. \nShow that \\(\\int_{0}^{a} f(x) g(x) d x=2 \\int_{0}^{a} f(x) d x\\) if f and g are defined as f(x) = f(a – x) and g(x) + g(a – x) = 4 \nSolution: \n <\/p>\n
Question 20. \nThe value of \n\\(\\int _{ \\frac { -\\pi }{ 2 } }^{ \\frac { \\pi }{ 2 } }{ \\left( { x }^{ 3 }+xcosx+{ tan }^{ 5 }x+1 \\right) dx } \\) is \n(a) 0 \n(b) 2 \n(c) \u03c0 \n(d) 1 \nSolution: \n(c) \u03c0 \nLet f(x) = x\u00b3 + x cosx + tan5<\/sup>x \nf(- x) = (- x)\u00b3 + (- x)cos(- x) + tan5(- x) \n= – x\u00b3 – x cosx – tan5x \n= – f(x) \n\u2234 f(x) is an odd function \n <\/p>\n <\/p>\n
Question 21. \nThe value of \\(\\int_{0}^{\\frac{x}{2}} \\log \\left(\\frac{4+3 \\sin x}{4+3 \\cos x}\\right) d x\\) is \n(a) 2 \n(b) \\(\\frac { 3 }{ 4 }\\) \n(c) 0 \n(d) – 2 \nSolution: \n \nI = – 1 \n2I = 0 Hence I = 0 \nEvaluate the following.<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.11 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-11\/ NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.11 Ex 7.11 Class 12 NCERT Solutions Question 1. Solution: 7.11 Class 12 NCERT Solutions Question 2. Solution: Exercise 7.11 Maths …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.11<\/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 7.11 - 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