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Evaluate: int(x^2tan^(-1)x^3)/(1+x^6)dx...

Evaluate: `int(x^2tan^(-1)x^3)/(1+x^6)dx`

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Verified by Experts

Put `tan^(-1)=t" so that "(3x^(2))/((1+x^(6)))dx=dtor(x^(2))/((1+x^(6)))dx=(1)/(3)dt`
`:.int(x^(2)tan^(-1)x^(3))/((1+x^(6)))dx=(1)/(3)intdt=-(1)/(6)t^(2)+C=(1)/(6)(tan^(-1)x^(3))^(2)+C`.
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