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

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

int_(0)^(1)tan (2x-1)dx=

int_(0)^(1)Tan^(-1)((2x)/(1-x^(2)))dx=

int_(0)^(1)Tan^(-1)((2x)/(1-x^(2)))dx=

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

The value of int_(0)^(1)(tan^(-1)x)/(cot^(-1)(1-x+x^(2)))dx is____.

The value of int_(0)^(1)(tan^(-1)x)/(cot^(-1)(1-x+x^(2)))dx is____.

Prove that int_(0)^(1)tan^(-1)((1)/(1-x+x^(2)))dx=2int_(0)^(1)tan^(-1)xdx. Hence or otherwise,evaluate the integral int tan^(-1)(1-x+x^(2))dx

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