-\frac{2}{3} \int {\frac{dt}{1 - t^{4\over 3}}} = \frac{1}{2} \left(2 \tan ^{-1}\left(\sin ^{\frac{1}{2}}(x)\right)+\log \left(\sin ^{\frac{1}{2}}(x)-1\right)-\log \left(\sin^{\frac{1}{2}}(x)+1\right)\right)