find the integration of ` int_(-pi/2)^(pi) sin^-1 (sin x)`

Evaluate the following integrals using properties of integration : int_(0)^(pi) x [ sin^(2) ( sin x ) + cos^(2) ( cos x ) ]dx

Evaluate the definite integral int_(pi/2)^(pi) e^x[(1-sin x)/(1-cos x)] dx

Evaluate the definite integrals int_(0)^((pi)/(2))sin2x tan^(-1)(sin x)dx

Evaluate the following integrals using properties of integration : int_(-(pi)/(4))^((pi)/(4))sin^(2)x dx

Evaluate the integrals : I = int_(-pi)^(pi) sin^(2) (x/2) dx ,

The value of the integral int_(-pi//2)^(pi//2)(sin^(2)x)/(1+e^(x))dx is

The value of the integral int_(-pi//2)^(pi//2) sin^(4) x (1+ log ((2+ sinx)/( 2- sin x))) dx is

Evaluate the integral int_(-pi)^(pi) sin^(8)x cos^(7)x dx