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

int tan^(-1) ((sin2x)/(1+cos 2x))dx

Evaluate the following integrals: int tan^(-1)((sin2x)/(1+cos2x))dx

int tan^-1((sin x)/(1+ cos x)) dx =

Evaluate: (i) int tan^(-1)((sin2x)/(1+cos2x))dx( ii) int cos^(-1)(sin x)dx

Evaluate: (i) int cot^(-1)((sin2x)/(1-cos2x))dx (ii) int sin^(-1)((2tan x)/(1+tan^(2)x))dx

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

If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =

int(1+sin2x)/(cos^2x)dx

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