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Integrate : int tan^(-1) [(3x-x^(3))/(...

Integrate :
`int tan^(-1) [(3x-x^(3))/(1-3x^(2))]dx [-(1)/(sqrt(3))lt x lt(1)/(sqrt(3))]`

Text Solution

Verified by Experts

The correct Answer is:
`3[x tan^(-1)x-(1)/(2)log(1+x^(2))]+c`
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