\[2\omega_{3}=i\int_{e_{2}}^{e_{1}}\frac{\,\mathrm{d}u}{\sqrt{(e_{1}-u)(u-e_{2})%
(u-e_{3})}}=i\int_{-\infty}^{e_{3}}\frac{\,\mathrm{d}u}{\sqrt{(e_{1}-u)(e_{2}-%
u)(e_{3}-u)}}.\]