JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x-\sin x}{1-\cos x} d x=

View answer and explanation

Correct option: B

-x \cot \frac{x}{2}+c

Option B (

-x \cot \frac{x}{2}+c

) is correct because it results from integrating the given expression after using trigonometric identities and integration by parts.

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\int \sin ^5 x \cos ^4 x d x=

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\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

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{C}

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