The value of \( \int_{0}^{\pi / 2} \log \tan x d x \) is equal to \...

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The value of \( \int_{0}^{\pi / 2} \log \tan x d x \) is equal to
\( \mathrm{P} \)
W
(1) \( \pi \log _{e} \)
(2) \( -\frac{\pi}{2} \log _{e} 2 \)
(3) \( \pi \log _{e} 2 \)
(4) 0
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