" prove that "(pi)/(2)int log(tan x)dx=...

" prove that "(pi)/(2)int log(tan x)dx=

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

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

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

int_(0)^((pi)/(2))sin2x*log(tan x)dx=

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

int_0^(pi//2) log(tan x) dx is :

Prove that int_(0)^(pi//2)log (sinx)dx=int_(0)^(pi//2) log (cosx)dx=-(pi)/(2) log 2 .

Prove that int_(0)^(pi//2)log (sinx)dx=int_(0)^(pi//2) log (cosx)dx=-(pi)/(2) log 2 .

Prove that int_(0)^(pi//2)log (sinx)dx=int_(0)^(pi//2) log (cosx)dx=-(pi)/(2) log 2 .

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