JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{{\pi / 4}}^{3 \pi / 4} \frac{\phi}{1+\sin \phi} d \phi

, is

View answer and explanation

Correct option: A

\pi \tan \frac{\pi}{8}

Option A (

\pi \tan \frac{\pi}{8}

) is correct because, after applying the property of definite integrals and simplifying, the value of the integral is found to be

\pi \tan \frac{\pi}{8}

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