" 2."(sin^(2)x)/(1+cos x)

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

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

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

((1) / ((sec x) ^ (2) - (cos x) ^ (2)) + (1) / ((cos ecx) ^ (2) - (sin x) ^ (2))) ( cos x) ^ (2) (sin x) ^ (2) = (1- (cos x) ^ (2) (sin x) ^ (2)) / (2+ (cos x) ^ (2) (sin x) ^ (2))

Let f(x)=(2sin^(2)x-1)/(cos x)+cos x(2sin x+1)/(1+sin x)then int e^(x)(f(x)+f'(x))dx where c is the constant of integration

e^(x)((2+ sin 2x)/(1 + cos 2 x ))

int (2x + sin 2x)/(1 + cos 2x) dx =

int (2x-sin 2x)/(1-cos 2x) dx

Evaluate lim_ (x rarr (pi) / (4)) (1-2sin2x) / (1 + cos4x)