\[\int_{0}^{\pi /4}{\log (1+\tan \theta )\,d\theta =}\] [SCRA 1986; Karnataka CET 2000, 05]

\[\frac{\pi }{8}\log \frac{1}{2}\]

\[\frac{\pi }{4}\log \frac{1}{2}\]

\[\int_{0}^{\pi /4}{\log (1+\tan \theta )\,d\theta =}\] [SCRA 1986; Ka

1.	\[\int_{0}^{\pi /4}{\log (1+\tan \theta )\,d\theta =}\] [SCRA 1986; Karnataka CET 2000, 05]
A.	\[\frac{\pi }{4}\log 2\]
B.	\[\frac{\pi }{4}\log \frac{1}{2}\]
C.	\[\frac{\pi }{8}\log 2\]
D.	\[\frac{\pi }{8}\log \frac{1}{2}\]
Answer» D. \[\frac{\pi }{8}\log \frac{1}{2}\]

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\[\int_{0}^{\pi /4}{\log (1+\tan \theta )\,d\theta =}\] [SCRA 1986; Karnataka CET 2000, 05]

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