Calculate ∫0π/4ln(1+tanx)dx\int_{0}^{\pi/4} \ln(1+\tan x) dx∫0π/4ln(1+tanx)dx.
π8ln2\frac{\pi}{8} \ln 28πln2
π4ln2\frac{\pi}{4} \ln 24πln2
π2ln2\frac{\pi}{2} \ln 22πln2
ln2\ln 2ln2