JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{(\sin x+\cos x)(2-\sin 2 x)}{\sin ^2 2 x} d x=

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Correct option: B

\frac{\sin x-\cos x}{\sin 2 x}+c

Option B (

\frac{\sin x-\cos x}{\sin 2 x}+c

) is correct because the integral simplifies to this expression after a suitable substitution.

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