Calculus 3 tutorial video that explains how Green's Theorem is used to calculate line integrals of vector fields. We explain both the circulation and flux forms of Green's Theorem, and we work two examples of each form, emphasizing that the theorem is a shortcut for line integrals when the curve is a boundary for a simple, closed region.
0:00 Introduction to the circulation form
2:21 Circulation - Example 1
5:40 Circulation - Example 2
9:23 Introduction to the flux form
10:19 Flux - Example 1
12:16 Flux - Example 2
Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8
Houston Math Prep YouTube: https://www.youtube.com/user/HoustonMathPrep