calculus - How to evaluate $int_{-infty}^{infty} frac{1}{sqrt{frac{1}{3}-q^{2}+frac{2}{3}q^{3}}}mathrm dq$

My calculus skills are too weak to solve this integral:
$$\int_\limits{-\infty}^{\infty} \frac{1}{\sqrt{\frac{1}{3}-q^{2}+\frac{2}{3}q^{3}}}\mathrm dq$$
I haven't found the right substitution yet (and don't just want to accept Wolfram Alpha's answer).