\( \int \frac{1}{\sqrt{\sin ^{3} x \sin (x+\alpha)}} d x \) is equal to (A) \( 2 \operatorname{c...

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\( \int \frac{1}{\sqrt{\sin ^{3} x \sin (x+\alpha)}} d x \) is equal to
(A) \( 2 \operatorname{cosec} \alpha \sqrt{\cos \alpha+\sin \alpha \tan x}+C \)
(B) \( -2 \operatorname{cosec} \alpha \sqrt{\cos \alpha+\sin \alpha \cot x}+C \)
(C) \( \operatorname{cosec} \alpha \sqrt{\cos \alpha+\sin \alpha \cot x}+C \)
(D) none of these
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