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Evaluate: int(x^2)/((a+b x)^2)dx...

Evaluate: `int(x^2)/((a+b x)^2)dx`

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`int(x^2)/((a+b x)^2)dx`

Let, `a+bx=t`

`x=(t-b)/(a)`

`dx=dt/b`

`=(1)/(a^2)int((t-b)^2)/(t^2)dx`

`=(1)/(a^2)int(t^2+b^2-2bt)/(t^2)dx`

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

`=(1)/(a^2)(t-(b^2)/(t)-2blnt)+C`

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