The value of \(\rm \int_0^{\frac{\pi}{4}}\log (1 + \tan x)\ dx\) is equal to:

1
\(\frac{\pi}{4} \log 2\)
2
\(\frac{\pi}{6} \log 2\)
3
\(\frac{\pi}{8} \log 2\)
4
\(\frac{\pi}{2} \log 2\)

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