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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫x+sin⁡x1+cos⁡xdx\int \frac{x+\sin x}{1+\cos x} d x is equal to
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Correct option: A
xtan⁡x2+cx \tan \frac{x}{2}+c
Option A is correct because the integral simplifies to xtan⁡x2+cx \tan \frac{x}{2}+c after using trigonometric identities and integration by parts.

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