Prove that: `int_0^1tan^-1.(1/(1-x+x^2))dx=2int_0^1tan^-1xdx`

int_0^1 tan^-1xdx

Prove that int_0^1 tan^-1((2x-1)/(1+x-x^2))dx=0

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)(1-x+x^(2))dx=

inte^(tan^-1x)(1+x/(1+x^2))dx

int_(0)^(1)tan^(-1)xdx

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

inte^x(tan^-1x+1/(1+x^(2)))dx

int_0^1 tan^1x/(1+x^2)dx