Divergence theorem

  • Thread starter trelek2
  • Start date
  • #1
88
0

Main Question or Discussion Point

Use the divergence theorem to compute the surface integral F dot dS , where
F=(xy^2, 2y^2, xy^3) over closed cylindrical surface bounded by x^2+z^2=4 and y is from -1 to 1.

I've tried doing it and got 32pi/3 (i guess its wrong, so how to do it?)
Is it ok to compute Div F in terms of xyz and after that change into cylindrical polar coordinates to calculate volume?
 
Last edited:

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,795
925
Yes, that's perfectly legitimate.
 

Related Threads for: Divergence theorem

  • Last Post
Replies
7
Views
2K
Replies
2
Views
13K
  • Last Post
Replies
3
Views
933
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
3
Views
2K
Top