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

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

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

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dxdot 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 dxdot Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

Choose the correct answer int_0^1 tan^-1((2x-1)/(1+x-x^2))dx =

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

STATEMENT 1 : The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STATEMENT 2 : int_a^bf(x)dx=int_0^bf(a+b-x)dx then Which of the following statement is correct ?

STATEMENT 1 : The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STATEMENT 2 : int_a^bf(x)dx=int_0^bf(a+b-x)dx then Which of the following statement is correct ?

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