`int_0^1tan^(-1)((3x-x^3)/(1-3x^2))dx`

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

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

Evaluate the following integrals: int tan^(-1)((3x-x^3)/(1-3x^2))dx

Answer the equation: 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

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

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Let int_(0)^(1)tan^(-1)((tan x)/(2))dx=alpha then int_(0)^(1)tan^(-1)((tan x-2cot x)/(3))dx is

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