\( \int \sqrt{1+\operatorname{cosec} x} d x \) equals P (1) \( 2 \s...

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\( \int \sqrt{1+\operatorname{cosec} x} d x \) equals
P
(1) \( 2 \sin ^{-1} \sqrt{\sin x}+c \)
(2) \( \sqrt{2} \cos ^{-1} \sqrt{\cos x}+c \)
W
(3) \( c-2 \sin ^{-1}(1-2 \sin x) \)
(4) \( \cos ^{-1}(1-2 \sin x)+c \)
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