int_(0)^( pi)log sin^(2)xdx=

"int_(0)^( pi)x sin^(2)xdx

If int_(0)^( pi/2)log sin xdx=k, then the value of the definite integral int_(0)^( pi/4)log(1+tan theta)d theta( i) -(K)/(8)( ii) -(K)/(4) (iii) (K)/(8) (iv) (K)/(4)

int_(-pi)^( pi)x sin^(2)xdx=

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

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

int_(0)^( pi)log xdx

int_(0)^( pi)x sin^(-1)xdx

int_(0)^( pi)x sin^(3)xdx

int_(0)^( pi)sin^(2)xdx

Show that int_(0)^(pi//2) sin^(n)xdx =int_(0)^(pi//2) cos^(n)x dx .