[QUE/CM-01003#Solu] Periodic Motion $\displaystyle V(x) = V_0 \tan^2(\alpha x) $

Question : For a particle in one dimensional potential well  $\displaystyle V(x) = V_0 \tan^2(\alpha x) $ find the time period as function of the energy of the particle.
Answer : $\displaystyle ({\pi\over\alpha})\sqrt{2m\over (E+V_0)} $