So am finishing up calc 3 and we are doing surface integrals, stokes' theorem, and divergence theorem.
But solving all the problems gets really confusing because I feel like all the different methods get mixed up. For example, in my book for the section on Stokes' theorem they might say evaluate using Stokes' Theorem but they will use the line integral method.
How do I know when I can use the method involving Curl F dS or F dr.
I know I am probably not providing enough info, but I hope you guys know what I mean.
I guess that makes a bit more sense.
Are there Surface Integrals where you can't use Stokes' or the Divergence Theorem?
I think it would help my understanding if you could tell me in what cases one method is better than the other. So the Divergence Theorem is good for finding surface integral of an object with many sides?
So lets say you had to take the surface integral of a cube. It would be a pain because you would have do all 6 sides. Using the divergence thoerem it would be much easier because all you would do is take the divergence and then do a triple integral. Alot less work.