evaluate the improper integral

Question

$$ \int_0^{\pi/2} \ln\left( \tan^2\left( \frac\pi4 + x \right) \right) \tan x\, dx $$ I tried to solve this question by substitution and let $u=\tan x$ And then using integration by parts or substitution But I want another method to solve it

Answer 1

** just a hint**

$$\int_0^\frac \pi 2=\int_0^\frac \pi 4+\int_\frac \pi 4^\frac \pi 2$$

$$\ln (\tan^2 (A ))=2\ln (|\tan (A)|) $$

$$\tan (x+\pi/4)=\frac {1+\tan (x)}{1-\tan (x)} $$

put $t=\tan (x) $

then by parts.