The value of \( \int_{0}^{\frac{\pi}{3}} \log (1+\sqrt{3} \tan x) d...

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The value of \( \int_{0}^{\frac{\pi}{3}} \log (1+\sqrt{3} \tan x) d x \) is equal to
\( \mathrm{P} \)
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(1) \( \pi \log 2 \)
(2) \( \frac{\pi}{2} \log 2 \)
(3) \( \frac{\pi}{3} \log 2 \)
(4) \( \frac{\pi}{4} \log 2 \)
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