JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int e^{\sin \theta}\left(\log \sin \theta+\operatorname{cosec}^2 \theta\right) \cos \theta d \theta

is equal to

View answer and explanation

Correct option: B

e^{\sin \theta}(\log \sin \theta-\operatorname{cosec} \theta)+C

Option B (

e^{\sin \theta}(\log \sin \theta-\operatorname{cosec} \theta)+C

) is correct because it results from applying integration by parts to the given integral.

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