4<\/sup> (e – 1)<\/p>\n <\/p>\n
Question 7. \n\\(\\int_{0}^{\\frac{\\pi}{4}} \\tan x \\) \nSolution: \n\\(\\int_{0}^{\\frac{\\pi}{4}} \\tan x d x\\) \n= \\(\\left[\\log |\\sec x|_{0}^{\\frac{x}{4}}\\right.\\) \n= \\(\\log \\left|\\sec \\frac{\\pi}{4}\\right|-\\log |\\sec 0|=\\log \\sqrt{2}-\\log 1=\\log \\sqrt{2}\\)<\/p>\n
Question 8. \n\\(\\int_{\\frac{\u03c0}{6}}^{\\frac{\u03c0}{4}}\\) cosec x dx \nSolution: \n <\/p>\n
Question 9. \n\\(\\int _{ 0 }^{ 1 }{ \\frac { dx }{ \\sqrt { 1-{ x }^{ 2 } } } } \\) \nSolution: \nLet I = \\(\\int_{0}^{1} \\frac{d x}{\\sqrt{1-x^{2}}}=\\left[\\sin ^{-1} x\\right]_{0}^{1}\\) \n= \\(\\sin ^{-1}(1)-\\sin ^{-1}(0)=\\frac{\\pi}{2}-0=\\frac{\\pi}{2}\\)<\/p>\n
Question 10. \n\\(\\int _{ 0 }^{ 1 }{ \\frac { dx }{ 1+{ x }^{ 2 } } } \\) \nSolution: \n <\/p>\n
Question 11. \n\\(\\int _{ 2 }^{ 3 }{ \\frac { dx }{ { x }^{ 2 }-1 } } \\) \nSolution: \n <\/p>\n
Question 12. \n\\(\\int _{ 0 }^{ \\frac { \\pi }{ 2 } }{ { cos }^{ 2 } } x\\) \nSolution: \n <\/p>\n
Question 13. \n\\(\\int _{ 2 }^{ 3 }{ \\frac { x }{ { x }^{ 2 }+1 } }\\) \nSolution: \n <\/p>\n
Question 14. \n\\(\\int _{ 0 }^{ 1 }{ \\frac { 2x+3 }{ { 5x }^{ 2 }+1 } } \\) \nSolution: \n <\/p>\n
<\/p>\n
Question 15. \n\\(\\int _{ 0 }^{ 1 }{ { xe }^{ { x }^{ 2 } }dx } \\) \nSolution: \n <\/p>\n
Question 16. \n\\(\\int _{ 1 }^{ 2 }{ \\frac { { 5x }^{ 2 } }{ { x }^{ 2 }+4x+3 } dx } \\) \nSolution: \n \n20x + 15A(x + 3) + B(x + 1) …. (2) \nPut x = – 1 in (2), we get \n– 5 = 2A \u2234 A = \\(\\frac { – 5 }{ 2 }\\) \nPut x = – 3 in (2), we get \n– 45 = – 2B \u2234 B = \\(\\frac { 45 }{ 2 }\\) \n <\/p>\n
Question 17. \n\\(\\int _{ 0 }^{ \\frac { \\pi }{ 4 } }{ \\left( { 2sec }^{ 2 }x+{ x }^{ 3 }+2 \\right) dx } \\) \nSolution: \n <\/p>\n
Question 18. \n\\(\\int _{ 0 }^{ \\pi }{ \\left( { sin }^{ 2 }\\frac { x }{ 2 } -{ cos }^{ 2 }\\frac { x }{ 2 } \\right) }\\)dx \nSolution: \n <\/p>\n
Question 19. \n\\(\\int _{ 0 }^{ 2 }{ \\frac { 6x+3 }{ { x }^{ 2 }+4 } } dx\\) \nSolution: \n <\/p>\n
<\/p>\n
Question 20. \n\\(\\int _{ 0 }^{ 1 }{ \\left( { xe }^{ x }+sin\\frac { \\pi x }{ 4 } \\right) dx } \\) \nSolution: \n <\/p>\n
Question 21. \n\\(\\int_{1}^{\\sqrt{3}} \\frac{d x}{1+x^{2}}\\) equals \n(a) \\(\\frac { \\pi }{ 3 } \\) \n(b) \\(\\frac { 2\\pi }{ 3 } \\) \n(c) \\(\\frac { \\pi }{ 6 } \\) \n(d) \\(\\frac { \\pi }{ 12 } \\) \nSolution: \n(d) \\(\\frac { \\pi }{ 12 } \\) \nLet I = \\(\\int_{1}^{\\sqrt{3}} \\frac{d x}{1+x^{2}}\\) \n= \\(\\left[\\tan ^{-1} x\\right]_{1}^{\\sqrt{3}}=\\tan ^{-1} \\sqrt{3}-\\tan ^{-1} 1\\) \n= \\(\\frac{\\pi}{3}-\\frac{\\pi}{4}=\\frac{\\pi}{12}\\)<\/p>\n
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Question 22. \n\\(\\int_{0}^{\\frac{2}{3}} \\frac{d x}{4+9 x^{2}}\\) equals \n(a) \\(\\frac { \\pi }{ 6 }\\) \n(b) \\(\\frac { \\pi }{ 12 }\\) \n(c) \\(\\frac { \\pi }{ 24 }\\) \n(d) \\(\\frac { \\pi }{ 4 }\\) \nSolution: \n(c) \\(\\frac { \\pi }{ 24 }\\) \n <\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.9 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-7-ex-7-9\/ NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.9 Ncert Solutions Of Class 12 Maths Chapter 7 Question 1. Solution: Let I = dx = = Ex 7.9 Class …<\/p>\n
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.9<\/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 7.9 - 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