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" Evelinate "int(0)^(x/4)log(1+tan x)dx...

" Evelinate "int_(0)^(x/4)log(1+tan x)dx

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int_(0)^(pi//4) log (1+tan x) 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 .

Evaluate int_(0)^((pi)/(4))log(1+tan x)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(pi/4)log (1 tan x) dx

int_(0)^(pi//2) log (tan x ) dx=