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Evaluate : int0^(pi/4)log(1+tanx)dxdot...

Evaluate : `int_0^(pi/4)log(1+tanx)dxdot`

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The correct Answer is:
`(pi)/(8)log2.`
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Evaulate int_(0)^(pi//4)log(1+tanx)dx .

Prove that int_(0)^(a)(x)dx = int_(0)^(a) f(a-x)dx and hence evaluate int_(0)^(pi/4)log (1 + tan x)dx .

Prove that int_(a)^(b) f(x)dx= int_(a)^(b) f (a+b-x)dx" hence evaluate " int_(0)^(pi/4) log(1+tan x)dx .

int_0^(pi//2) log(tan x)dx =

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int_0^(pi/2) log|tanx+cotx|dx =

If I = int_0^(pi/4) log (1+ tan x) dx , then I =