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Evaluate: int((x-1)^2)/(x^4+x^2+1)\ dx...

Evaluate: `int((x-1)^2)/(x^4+x^2+1)\ dx`

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`int((x-1)^2)/(x^4+x^2+1)\ dx`
`int((x-1)^2)/((x^2)^2+x^2+1)\ dx`
`=int frac{(x-1)^2}{x^2+1}dx`
`=int frac{(x-1)^2-2x}{(x^2+1)^2}dx`
`int frac{(x-1)^2}{x^2+1}dx-int frac{2x}{x^2+1}dx`
Assume `1+x^2=t=>2xdx=dt`
`int frac{1}{x^2+1}dx-int frac{dt}{t^2}`
`=tan^(-1)x- 1/t +C` ...
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