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Mathematics · JEE | INTEGRALS
हिन्दीFind \( \int \frac{\cos x}{\sqrt{1+\sin x}} \, dx \).
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Correct answer · Option C
\( 2 \sqrt{1+\sin x} + C \)
Explanation
Substitute \( 1+\sin x = t \), then \( \cos x dx = dt \). The integral becomes \( \int t^{-1/2} dt = 2t^{1/2} + C = 2\sqrt{1+\sin x} + C \).
