NCERT Solutions for Class 12 Maths Chapter 7 Integrals — Exercise 7.1

Find an anti derivative (or integral) of the following functions by the method of inspection.

Question 1:sin 2x

Question 2:cos 3x

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Question 3:e 2x

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Question 4:(ax + b) 2

Question 5:sin 2x – 4 e 3x Find the following integrals in Exercises 6 to 20:

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Question 6:3 (4 + 1) x e dx

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Question 7:2 2 1 x (1 – ) dx x

Question 8:2 ( ) ax bx c dx

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Question 9:2 (2 ) x x e dx

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Question 10:2 1 x – dx x

Question 11:3 2 2 x x– 5 4 dx x

Question 12:3 x x3 4 dx x

Question 13:3 2 1 1 x x x– dx x –

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Question 14:(1 ) – x x dx

Find an anti derivative (or integral) of the follo

Question 15:2 x( 3 2 3) xxd x

Question 16:(2 3cos ) x x – xed x

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Question 17:2 (2 3sin 5 ) x – x xd x

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Question 18:sec (sec tan ) x x x dx

Question 19:2 2 sec cosec x dx x

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Question 20:2 2 – 3sin cos x x dx. Choose the correct answer in Exercises 21 and 22

CBSE NCERT Solutions For Class 12 Integrals

Question 21:The anti derivative of 1 x x equals (A) 1 1 3 2 1 2 C 3 x x (B) 2 2 1 3 2 C 3 2 x x (C) 3 1 2 2 2 2 C 3 x x (D) 3 1 2 2 3 1 C 2 2 x x

Question 22:If 3 4 3 () 4 d fx x dx x such that f (2) = 0. Then f (x) is (A) 4 3 1 129 8 x x (B) 3 4 1 129 8 x x (C) 4 3 1 129 8 x x (D) 3