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What is the value of int(0)^(pi/2) log (...

What is the value of `int_(0)^(pi/2) log (tanx) dx` ?

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

The value of int_(0)^(pi//2) log (sinx) dx is

int_(0)^(pi//2) log (cotx ) dx=

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

The value of int _(0)^(pi//2) log ("cosec "x) dx is

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

int_(0)^(pi) x log sinx\ dx

What is the value of int_0^(pi//2) sin 2x ln (cot x) dx

int_(0)^((pi)/(2))log(sin2x)dx