\( \int \sqrt{\tan x}+\sqrt{\cot x} d x \) is equal to :
\( \mathrm...
\( \int \sqrt{\tan x}+\sqrt{\cot x} d x \) is equal to :
\( \mathrm{P} \)
(A) \( \sqrt{2} \sin ^{-1}(\sin x+\cos x)+c \)
(B) \( \frac{1}{\sqrt{2}} \sin ^{-1}(\sin x-\cos x)+c \)
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(C) \( \sqrt{2} \sin ^{-1}(\sin x-\cos x)+c \)
(D) \( \frac{1}{\sqrt{2}} \sin ^{-1}(\sin x+\cos x)+c \)
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