If \( I=\int(\sqrt{\cot x}-\sqrt{\tan x}) d x \), then \( I \) equals (A) \( \sqrt{2} \log (\sqr...
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0If \( I=\int(\sqrt{\cot x}-\sqrt{\tan x}) d x \), then \( I \) equals
(A) \( \sqrt{2} \log (\sqrt{\tan x}-\sqrt{\cot x})+C \)
(B) \( \sqrt{2} \log |\sin x+\cos x+\sqrt{\sin 2 x}|+C \)
(C) \( \sqrt{2} \log |\sin x-\cos x+\sqrt{2} \sin x \cos x|+C \)
(D) \( \sqrt{2} \log |\sin (x+\pi / 4)+\sqrt{2} \sin x \cos x|+C \)
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