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

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

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` int (x-3)/((x-1)^(3))e^(x) dx= int((x-1)-2)/((x-1)^(3))e^(x) dx`
` =int (x-1)/((x-1)^(3)) e^(x) dx- int (2)/((x-1)^(3))e^(x) dx`
`= int (1)/((x-1)^(2))e^(x) dx- int (2)/((x-1)^(3))e^(x) dx`
`=(1)/((x-1)^(2)) int e^(x) dx- int {(d)/(dx) (1)/((x-1)^(2)) int e^(x) dx}dx`
`-int (2)/((x-1)^(3))e^(x) dx+c`
`=(1)/((x-1)^(2))e^(x) - int (-2)/((x-1)^(3))e^(x) dx- int (2)/((x-1)^(3))e^(x) dx+C`
`=(1)/((x-1)^(2))e^(x)+int (2)/((x-1)^(3))e^(x) dx- int (2)/((x-1)^(3))e^(x) dx+C`
`=(1)/((x-1)^(2))e^(x)+C`
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