Integrate the following: `int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx`

Integrate the following: int{(5cos^(3)x+2sin^(3)x)/(2sin^(2)x*cos^(2)x)+sqrt(1+sin2x)+(1+2sin x)/(cos^(2)x)+(1-cos2x)/(1+cos2x)}dx

Integrate the following: int(sin2x)/sqrt(1+cos^2x)dx

int(sin2x)/((1-cos2x)(2-cos2x))dx=

int(cos 2x-sin 2x)/(cos2x+sin2x)dx

int(cos x-sin x)/(1+sin2x)dx

Evaluate the following integrals: int(5cos^(3)x+6sin^(3)x)/(2sin^(2)x cos^(2)x)dx

Evaluate the following integrals. int (sin x + cos x)/(sqrt(1+ sin 2x))dx

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

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

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