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

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

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

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

(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)

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(cos^(5)xdx)/(sin^(5)+cos^(5)x)

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

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