$\displaystyle \int \frac{10}{x^2-2x}dx$ [0,3]

To determine the convergence or divergence of the integral, how many improper integrals must be analyzed? What must be true of each of these integrals if the given integral converges?

I think it must be analyzed twice. Even if that is right, I don't know what must be true of each of them if they converge.

Please help.