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

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

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Let `int frac{x^{2}}{(x-1)^{3}(x+1)}=frac{A}{x-1}+frac{B}{(x-1)^{2}}+frac{C}{(x-1)^{3}}+frac{D}{x-1} ldots ldots(i)`

`Rightarrow x^{2}=A(x-l)^{2}(x+1)+B(x-l)(x+1)+C(x+1)+D(x-1)^{3} ldots(i i)`

Put `x={lin}(i i)`, weget `C=frac{1}{2}`

Put `x=-1` in `(i i)`, weget `D=-frac{1}{8}`

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