\( \int \sqrt{1+\cos x} d x \) equals \( \mathrm{P} \) (A) \( 2 \sq...

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\( \int \sqrt{1+\cos x} d x \) equals
\( \mathrm{P} \)
(A) \( 2 \sqrt{2} \sin \frac{x}{2}+c \)
(B) \( -2 \sqrt{2} \sin \frac{x}{2}+c \)
(C) \( -2 \sqrt{2} \cos \frac{x}{2}+c \)
(D) \( 2 \sqrt{2} \cos \frac{x}{2}+c \)
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