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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫sin⁡α1+cos⁡αdα\int \frac{\sin \alpha}{\sqrt{1+\cos \alpha}} \mathrm{d} \alpha is
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Correct option: B
−22cos⁡(α/2)+C-2 \sqrt{2} \cos (\alpha / 2)+C
Option B (−22cos⁡(α/2)+C-2 \sqrt{2} \cos (\alpha / 2)+C) is correct because the integral of the given expression simplifies to this result after substitution.

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