`int_0^acos^(- 1)((1-x^2)/(1+x^2))dx`

int_0^1cot^(- 1)(1-x+x^2)dx

The value of int_0^1 tan^(-1) ((2x-1)/(1+x-x^2))dx is:

int_0^1 tan^(-1) ((2x-1)/(1+x-x^2)) dx is equal to

Evaluate the following integral: int_0^(1//2)1/((1+x^2)sqrt(1-x^2))dx

Evaluate the following integral: int_0^(1//2)1/((1+x^2)sqrt(1-x^2))dx

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

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

If 2int_(0)^(1)tan^(-1)xdx=int_(0)^(1)cot^(-1)(1-x+x^(2))dx then int_(0)^(1)tan^(-1)(1-x-x^(2))dx is equal to

If 2int_(0)^(1)tan^(-1)xdx=int_(0)^(1)cot^(-1)(1-x+x^(2))dx then int_(0)^(1)tan^(-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