JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

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

is equal to :

View answer and explanation

Correct option: B

\frac{x}{2}+\frac{1}{2} \log (\sin x-\cos x)+c

Option B (

\frac{x}{2}+\frac{1}{2} \log (\sin x-\cos x)+c

) is correct because it is the result of decomposing the integrand and integrating each part separately.

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