The value of \( \int \sqrt{\frac{1-\cos x}{\cos \alpha-\cos x}} d x...

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The value of \( \int \sqrt{\frac{1-\cos x}{\cos \alpha-\cos x}} d x \), where \( 0\alphax\pi \), is equal to
\( \mathrm{P} \)
(A) \( 2 \ln \left(\cos \frac{\alpha}{2}-\cos \frac{x}{2}\right)+C \)
(B) \( \sqrt{2} \ell \mathrm{n}\left(\cos \frac{\alpha}{2}-\cos \frac{x}{2}\right)+C \)
W
(C) \( 2 \sqrt{2} \ln \left(\cos \frac{\alpha}{2}-\cos \frac{x}{2}\right)+C \)
(D) \( -2 \sin ^{-1}\left(\frac{\cos \frac{x}{2}}{\cos \frac{\alpha}{2}}\right)+C \)
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