" Integrate : "quad int_(0)^((pi)/(2))log(sin x)dx

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

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

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

Integrate : int_(0)^((pi)/(2))(sin x)/(sin x+cos x)dx

Using integral int_(0)^(-(pi)/(2))ln(sin x)dx=-int_(0)^( pi)ln(sec x)dx=-(pi)/(2)ln2 and int_(0)^((pi)/(2))ln(tan x)dx=0 and int_(0)^((pi)/(4))ln(1+tan x)dx=(pi)/(8)

Evaluate the following integrals int_(0)^((pi)/(2)) log(tan x)dx

int_(0)^(pi)log sin^(2)x dx=

int_(0)^(pi)log sin^(2)x dx=

Evaluate the following definite integrals: \int_{0}^((pi)/2) log(sin x) dx