`int_0^xtan^(- 1)(1-x+x^2)dx`

int_0^1cot^(- 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

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

If 2int_0^1 tan^(-1)x dx= int_0^1 cot^(-1)(1-x+x^2) dx then int_0^1 tan^(-1)(1-x+x^2) dx=

int_0^1xtan^(-1)xdx

Evaluate: int_0^1xtan^(-1)xdx

Find: int_0^1x (tan^-1 x)^2 dx

underset0oversetinftyint (xtan^-1x)/(1+x^2)dx

int xtan^(-1)x^(2)/(1+x^4)dx

Evaluate: int(xtan^(-1)x^2)/1dx