Green's Theorem (Circulation & Flux Forms with Examples)

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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
  1. Houston Math Prep
  2. Calculus 3
  3. multivariable calculus
  4. line integrals
  5. vector fields
  6. line integrals of vector fields
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