" Evaluate: "(i)int(dx)/(a sin x+b cos x)

Evaluate: int (dx)/(a sin x + b cos x)

int(dx)/(sin x(a+b cos x))

Evaluate: int(dx)/(cos x-sin x)

Evaluate int (dx)/ (sin x-cos x)

Evaluate: (i) int(1)/(sin^(3)x cos^(5)x)dx (ii) int(1)/(sin^(3)x cos x)dx

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

Evaluate: int(sin x)/(sin x-cos x)dx

Evaluate: (i) int(sin2x)/((a+b cos2x)^(2))dx (ii) int(log x^(2))/(x)dx

Evaluate: (i) int(sinx+2cosx)/(2sinx+cosx)\ dx (ii) int(cos4x-cos2x)/(sin4x-sin2x)\ dx

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x) dx . Hence, evaluate int_(0)^(pi//2) (sin x - cos x)/(1+ sin x cos x) dx.