JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

Evaluate:

\int \frac{\sin (x-a)}{\sin (x+a)} d x

View answer and explanation

Correct option: C

(x+a) \cos 2 a-\sin 2 a \log |\sin (x+a)|+c

Option C (

(x+a) \cos 2 a-\sin 2 a \log |\sin (x+a)|+c

) is correct because the integral is solved by substituting

x+a=t

and using trigonometric identities.

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