Can You Solve for R in Terms of t Using This Integral?

[Odyssey]

$$t-t_{0}=\int_{R_{0}}^{R(t)}\frac{du}{\sqrt{2mEL^{-2}u^4-u^2-2mL^{-2}u^4V(u)}}$$

where, u = R of theta. So should I plug the V = -(1/2)Amr^-2 into V(u)?

Now I have the integral. plug the V = -(1/2)Amr^-2 into V(u)? How should I proceed from here?

Thank you again for the help!