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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

If

\int \frac{d x}{1+\sin x}=\tan \left(\frac{x}{2}+a\right)+c

, then

a

is equal to

View answer and explanation

Correct option: D

-\frac{\pi}{4}

Option D (

-\frac{\pi}{4}

) is correct because the integral evaluates to

\tan(\frac{x}{2} - \frac{\pi}{4}) + c

, thus

a = -\frac{\pi}{4}

.

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