Techniques of Integration - Integration Using Partial Fractions

Can the denominator be factorized for the case of \(\displaystyle \displaystyle\int{\frac{\mathrm{f}(x)}{\mathrm{g}(x)}\,\mathrm{d}x}\)?

I. Yes, express it in partial fractions. Then, integrate it.

\(\displaystyle\displaystyle \displaystyle\int{\frac{4x+7}{2{{x}^{2}}+x-1}}\mathrm{ d}x\)