`int_0^(pi/2)cos^5x/2sinxdx`

int_0^(pi/2) cos^5xdx

int_0^(pi/2) cos^5xdx

Using properties evaluate the following definite integrals int_0^(pi/2) cos^5x/(sin^5x+cos^5x) dx

Evaluate : int_0^(pi/2)x^2sinxdx

int_0^(pi/2) cos^5x/(sin^5x+cos^5x)dx

Evaluate int_(0)^(pi/2)2sinxdx

Evaluate int_0^(pi/2) cos ^5 x dx

int_0^(pi/2) sqrt(cosx)sinxdx

int_0^(pi/2) sqrt(cosx)sinxdx

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx