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Prove that int(0)^(1)tan^(-1)(1/(1-x+x^(...

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_(0)^(1)tan^(-1)(1-x+x^(2))dx`.

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The correct Answer is:
`(ln2)`
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
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