`int_(e)^( pi/2)sin^(7)xdx`

int_(0)^( pi/4)sin^(4)xdx

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

int_(0)^(2 pi)sin^(3)xdx

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

int_(0)^( pi)sin^(5)xdx

int_(0)^(pi//2)sin^(2)xdx=?

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

int_(0)^(pi//2)(sin^(2)xdx)/((1+cosx)^(2))= ………

(i) int_(0)^(pi//2)(sin^(7)x)/((sin^(7)x+cos^(7)x))dx=(pi)/(4) (ii) int_(0)^(pi//2)(sin^(5)xdx)/((sin^(5)x+cos^(5)x))dx=(pi)/(4)

The value int_(0)^(pi//2) sin^(2)xdx will be :