`int_0^(pi) (sin^2 x)/2 - (cos^2 x)/2 dx`

int_0^(pi/2) sin x dx

Evaluate the following integral: int_0^(pi//2)(sin^2x)/((1+cos x)^2)dx

int_(0)^( pi/2)(sin x)/(1+cos x)dx

int_(0)^(pi) x sin x cos^(2)x\ dx

int_(0)^( pi)(sin x)/(1+cos^(2)x)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

(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: int_0^(pi/2) (sin2x)/(sin^4x+cos^4x)dx

int_(0)^(pi) x sin x. cos^(2) x dx

int_(0)^(pi) dx/(3+2sin x + cos x) =