`intcot^(- 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=

Evaluate intcot^(-1)(x^(2)+x+1)dx

Evaluate intcot^(-1)(x^(2)+x+1)dx

Evaluate intcot^(-1)(x^(2)+x+1)dx

10. intcot^-1(1+x^2-x)dx

intcot^(2)x" " dx=

intcot^4x dx

intcot^4x dx

If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =