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Prove that int0^1tan^(-1)(1/(1-x+x^2))d...

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`

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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

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