Minimize surface area - calculus of variations

[Shackleford]

I can't get rearrange the last equation into a nice form to integrate with respect to x to minimize the surface area.

http://i111.photobucket.com/albums/n149/camarolt4z28/2010-10-17122502.jpg?t=1287336976

http://i111.photobucket.com/albums/n149/camarolt4z28/2010-10-17123734.jpg?t=1287339019

http://i111.photobucket.com/albums/n149/camarolt4z28/2010-10-17122444.jpg?t=1287336976

[cloudy14]

The photos cannot be viewed

[berkeman]

I can't get them either. He may have figured it out by now and taken them down.