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

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

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`int(x+2)/((x+1)^2)\ dx`

Let, `x+1=t`

`dx=dt`

`=int(t+1)/(t^2)\ dx`

`=int((t)/(t^2)+(1)/(t^2))\ dx`

`=int((1)/(t)+t^(-2))\ dx`

`=lnt-t^(-1)+C`

`=ln(x+1)-(1)/(x+1)+C`

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