Does anyone know any shortcut to solve the following integral? As it stands the only way I know how to do it is to first use polynomial long division and then use integration with partial fractions. It is not necessarily difficult, it is just long and tedious, so I was wondering if there were any short cuts to lessen the chances of me making a careless error.

$\displaystyle \int\frac{2x^3+7x^2-15x+18}{2x^2+5x-3}$