`int tan^(-1) ((3x-x^3)/(1-3x^2))dx`

Evaluate the following integral: int_0^(1//sqrt(3))tan^(-1)((3x-x^3)/(1-3x^2))dx

If -1/(sqrt(3)) < x < 1/(sqrt(3)) , differentiate tan^(-1)((3x-x^3)/(1-3x^2)) with respect to tan^(-1)((2x)/(1-x^2)) .

If -1/(sqrt(3))

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if x>(1)/(sqrt(3))

Differentiate tan^(-1)((3x-x^(3))/(1-3x^(2))), if x<-(1)/(sqrt(3))

Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if x >1/(sqrt(3))

int_(0)^(1)tan^(-1)((3x-x^(3))/(1-3x^(2)))dx

Evaluate the following integral: int_(0)^(1/sqrt(3))tan^(-1)((3x-x^(3))/(1-3x^(2)))dx

int (tan^(-1)x)^(3)/(1+x^(2)) dx is equal to

int (e^(3 tan^(-1)x)/(1+x^(2))) dx