int_(0)^(1/2)(sin^(5)x)/(sin^(5)x+41^(5)x)dx

Evaluate : int_(0)^( pi/2)(sin^(5)x)/(sin^(5)x+cos^(5)x)dx

Evaluate the integrals . int_(0)^(pi//2) (sin^(5)x)/(sin^(5)x + cos^(5)x)dx

Find int_(0)^(pi//2) (sin^(5)x)/(sin^(5)x + cos^(5)x)dx

Evaluate int_(0)^(pi//2)(cos^(5)x)/(sin^(5)x+cos^(5)x)dx

int_(0)^(pi//2) (cos^(5)x)/(sin^(5)x+cos^(5)x)dx is equal to

(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)

int_(0)^(pi/2)(cos^(5)x dx)/(sin^(5)x+cos^(5)x)