Integrating EOM

[nolanp2]

i'm learning how to integrate equations of motion but can't get very far solving anything because i cant figure out how to integrate fxns of the type dx/Sqrt[E-U(x)] . The only solutions my lecturer gives me to these questions are using mathematica but i need to do them in tests so i need to find a method. can anyone help me out?

[Dick]

Depends very much on the form of U(x).

[nolanp2]

U(x) = A[1-e^(-ax)] is there a trick to solving this?

[HallsofIvy]

It would seem obvious to me to try the substitution u= 1- e-ax.
Of course, you would then know that e-ax= 1- u.