JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

is equal to

View answer and explanation

Correct option: B

-\frac{1}{(x \sin x+\cos x)}+k

Option B (

\frac{-1}{(x \sin x+\cos x)}+k

) is correct because the integral simplifies to this form after recognizing the derivative in the numerator.

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