JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

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

would be equal to

View answer and explanation

Correct option: B

\frac{\sin x-x \cos x}{x \sin x+\cos x}+C

Option B is correct because after applying integration by parts and simplifying, we get

\frac{\sin x-x \cos x}{x \sin x+\cos x}+C

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