Evaluate `int_((-pi)/4)^(pi/4)sin^(2)x`dx

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

The value of int_(-pi//4)^(pi//4) sin^(103) x*cos^(101) xdx is

int_(pi/4)^(pi/2) cosec^(2)x dx =

The value of integral int_(-pi//4)^(pi//4) sin^(-4) x dx is :

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (b) int_(-pi//2)^(pi//2) sin^(7) x dx .

Evaluate : int_((pi)/(4))^((pi)/(2))cos2xlog(sinx)dx.

int_(pi/4)^((3pi)/4) |sinx| dx =

Evaluate int_(pi//6)^(pi//4)cosecxdx