`(1)/(3+2sin2x+4cos 2x)`

Integrate the following functions w.r.t. x : frac{1}{3+ 2sin 2x + 4cos 2x}

Prove that , tan^(-1)((2 sin 2x)/(1+2 cos 2x))-(1)/(2)sin^(-1)((3 sin 2x)/(5+4 cos 2x))=x .

Evaluate: int(sin x cos x)/(3sin^(2)x-4cos^(2)x)dx

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

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

int((sqrt(2sin2x+4cos^(2)x+sin4x)-2x)/(1+sin2x))dx

The value of (2(sin2x+2cos^(2)x-1))/(cos x sin x cos3x+sin3x) is

2cosx-cos3x-cos5x= ............... A) 16 cos ^(3) x sin ^(2) x B) 16 sin^(2) x cos ^(2) x C) 4 cos ^(2) x sin ^(2) x D) 4 sin ^(2) x cos ^(2)x

Evaluate: int(1)/(sin^4x+Sin^2x cos^2 x + cos^4x)dx