\( \mathrm{P} \) \[ \int \frac{\sqrt{1-\sin x}}{1+\cos x} e^{-x / 2...
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\( \mathrm{P} \)
\[
\int \frac{\sqrt{1-\sin x}}{1+\cos x} e^{-x / 2} d x, x \in\left(0, \frac{\pi}{2}\right)
\]
W
(1) \( e^{-x / 2} \sin \frac{x}{2}+C \)
(2) \( -e^{-x / 2} \sec \frac{x}{2}+C \)
(3) \( -e^{-x / 2} \sin \frac{x}{2}+C \)
(4) \( -e^{-x / 2} \cos \frac{x}{2}+C \)
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