`int_0^pi cos^3 x sin^4 x` dx

int_0^pi sin^4x cos^4x dx

int_(0)^(pi)(cos^(4)x-sin^(4)x)dx=

The value of frac{120}{pi^3} |int_0^pi frac{x^2 sin x cos x}{sin^4 x cos^4 x} dx| is

Evaluate int_0^(pi/4) dx/(cos^2x + 4sin^2x)

(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

Evaluate (i) int_0^pi (x sin x)/(1+cos^2 x) dx Evaluate (ii) int_0^pi (4x sin x)/(1+ cos^2 x) dx