Evaluate the definite integral int(-1//...

Evaluate the definite integral `int_(-1//sqrt(3))^(1//sqrt(3))((x^(4))/(1-x^(4)))cos^(-1)((2x)/(1+x^(2)))dx`.

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The correct Answer is:

`I=(pi)/(12)[pi+3 ln (2+sqrt(3))-4sqrt(3)]`

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