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

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

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`x-1=u quad d x=d u`

`x=u+1``quad int frac{(u+1)^{2}+u+1+u mid}{u^{3}} cdot d u`

`=int frac{u^{2}+3 u+3}{u^{3}} cdot d u=int frac{1}{u}+frac{93}{u^{2}}+frac{3}{u^{3}} cdot d u`

`=ln |u|+(frac{-3}{u})-frac{3}{2} u^{-2}+c=) ln |x-1|+frac{3}{2-1}-frac{3}{2(x-1)^{b}}+c`

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