NCERT Solutions for Class 12 Maths Chapter 7 Integrals — Exercise 7.6

Question 1:x sin x

Question 2:x sin 3x

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Question 3:x 2 e x

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Question 4:x log x

Question 5:x log 2x

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Question 6:x 2 log x

Question 7:x sin– 1x

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Question 8:x tan–1 x

Question 9:x cos–1 x

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Question 10:(sin–1x) 2

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Question 11:1 2 cos 1 x x x ✓ ✔

Question 12:x sec2 x

Question 13:tan–1x

Question 14:x (log x) 2

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Question 15:(x 2 + 1) log

Integrate the functions in Exercises 1 to 22. 1.

Question 16:e x (sinx + cosx)

Question 17:2 (1 ) x x e x

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Question 18:1 sin 1 cos x x e x

Question 19:2 1 1 – x e x x

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Question 20:3 ( 3) ( 1) x x e x

Question 21:e 2x sin x

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Question 22:1 2 2 sin 1 – x x ✔ ✓ ✕ Choose the correct answer in Exercises 23 and 24

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Question 23:3 2 x x e dx ✖ equals (A) 1 3 C 3 x e ✗ (B) 1 2 C 3 x e ✘ (C) 1 3 C 2 x e ✘ (D) 1 2 C 2 x e ✘

Question 24:sec (1 tan ) x e x xd x ✚ equals (A) e x cos x + C (B) e x sec x + C (C) e x sin x + C (D) e x tan x + C