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Evaluate : int(-1//sqrt(3))^(1//sqrt(3))...

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

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Verified by Experts

The correct Answer is:
`(pi)/(4) ln (2+sqrt(3))+(pi^(2))/(12)-(pi)/(sqrt(3))`
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
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