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

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

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`int(x^3)/(x+2)\ dx`

Let, `x+2=t`

`dx=dt`

`=int((t-2)^3)/(t)\ dx`

`=int(t^3-8-6t^2+12t)/(t)\ dx`

`=int(t^2-8/t-6t+12)\ dx`

`=(t^3)/(3)-8lnt-3t^2+12t+C`

`=((x+2)^3)/(3)-8ln(x+2)-3(x+2)^2+12(x+2)+C`

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