Variational Principle Integration

Airsteve0

1. The problem statement, all variables and given/known data
The problem statement is a bit length so I have attached a picture of the problem instead. The issue I am having pertains to part (b).


2. Relevant equations



3. The attempt at a solution
The main issue I am having is with what my Hamiltonian should look like when I do the integrals for part (b). Since the problem is in 3-D I'm just second guessing everything I write down. Any assistance is greatly appreciated.

Attached Thumbnails

 

Airsteve0

nvm got it