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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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We have,
`I=int frac{(x-1)^{2} {~d} x}{x^{4}+x^{2}+1}` `implies int(frac{x^{2}-2 x+1}{x^{4}+x^{2}+1}) d x`
`implies int(frac{x^{2}+1}{x^{4}+x^{2}+1}) d x-int frac{2 x {dx}}{x^{4}+x^{2}+1} =I_{1}-I_{2}`
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