NCERT Solutions for Class 12 Maths Chapter 7 Integrals — Exercise 7.11

By using the properties of definite integrals, evaluate the integrals in Exercises 1 to 19

Question 1:2 2 0 cos x dx✁

Question 2:2 0 sin sin cos x dx x x

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Question 3:3 2 2 3 3 0 2 2 sin sin cos x dx x x

exercise 7.11 maths class 12 Chapter 7 Integrals

Question 4:5 2 5 5 0 cos sin cos x dx x x

Question 5:5 5 | 2| x dx

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Question 6:8 2 x 5 dx

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Question 7:1 0 (1 )n x x dx

Question 8:4 0 log (1 tan ) x dx

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Question 9:2 0 x 2 x dx

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Question 10:2 0 (2log sin log sin 2 ) x x dx

Question 11:2 2 – 2 sin x dx ✓ ✔ ✓

Question 12:0 1 sin x dx x ✕ ✖ ✗

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Question 13:2 7 – 2 sin x dx ✓ ✔ ✓

Question 14:2 5 0 cos x dx ✘

By using the properties of definite integrals, eva

Question 15:2 0 sin cos 1 sin cos x x dx x x

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Question 16:0 log (1 cos ) x dx ✘

Question 17:0 a x dx x a x

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Question 18:4 0 x 1 dx

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Question 19:Show that 0 0 ()() 2 () a a f x g x dx f x dx ✚ , if f and g are defined as f(x) = f(a – x) and g(x) + g(a – x) = 4 Choose the correct answer in Exercises 20 and 21

Question 20:The value of 2 3 5 2 ( c x xx xd os tan 1) x ✓ ✛✓ ✜ ✜ ✜ ✔ is (A) 0 (B) 2 (C) ✢ (D) 1

CBSE NCERT Solutions For Class 12 Integrals

Question 21:The value of 2 0 4 3 sin log 4 3 cos x dx x ✣ ✤ ✥ ✩ ✪ ✫ is (A) 2 (B) 3 4 (C) 0 (D)