\( \int_{0}^{\pi / 2} x(\sqrt{\tan x}+\sqrt{\cot x}) d x \) equals (A) \( \frac{\pi}{2 \sqrt{2}}...
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0\( \int_{0}^{\pi / 2} x(\sqrt{\tan x}+\sqrt{\cot x}) d x \) equals
(A) \( \frac{\pi}{2 \sqrt{2}} \)
(B) \( \frac{\pi^{2}}{2} \)
(C) \( \frac{\pi^{2}}{2 \sqrt{2}} \)
(D) \( \frac{\pi^{2}}{2 \sqrt{3}} \)
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