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

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

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

Let, `x+1=t`

`dx=dt`

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

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

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

`=t-2/t-2lnt+C`

`=(x+1)-(2)/(x+1)-2ln(x+1)+C`

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