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

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

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Verified by Experts

The correct Answer is:

`I=sqrt(t^(2)+2t-3)-log(t+1+sqrt(t^(2)+2t-3))-sqrt(3)sin^(-1)((t+5)/(t+2))`
where , `t=x+1/x`

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