The value of \( \int_{0}^{\pi / 4} \log (1+\tan \theta) d \theta \) is equal to (a) \( \frac{\pi...

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The value of \( \int_{0}^{\pi / 4} \log (1+\tan \theta) d \theta \) is equal to
(a) \( \frac{\pi}{2} \log 2 \)
(b) \( -\frac{\pi}{4} \log 2 \)
(c) \( \frac{\pi}{8} \log 2 \)
(d) None of these
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