" Evaluate "int_(0)^((pi)/(2))log(sin x)*dx

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

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

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

Evaluate: int_(0)^((pi)/(2))log((4+3sin x)/(4+3cos x))dx

Evaluate : int_(0)^((pi)/(2)) log (cot x)dx .

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

int_(0)^( pi)cos2x*log(sin x)dx

Prove that, int_(0)^(pi)log(1+cos x)dx=-pi log2 , given int_(0)^((pi)/(2))log((sin x))dx=(pi)/(2)"log"(1)/(2) .

Evaluate: int_(0)^( pi)x log sin xdx