`int_(0)^((pi)/(2))(2log sin x-log sin2x)dx`

The value of int_(0)^(pi//2) (2log sin x-log sin 2x)dx , is

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

If= int_(0)^(pi//2) sin x . log (sin x ) dx = log ((K)/(e)). Then, the value of K is ….

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

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

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

int_(0)^(pi//2) sin^(2) x dx

int_(0)^(pi/2) sin 2x tan^(-1) (sin x) dx

Prove that : int_(0)^(pi//2) (sin x -cos x) log (sin^(3) x + cos^(3)x) dx=0

Prove that : int_(0)^(pi//2) (sin x-cos x)/(1+sin x cos x)dx=0 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0