1. This small group activity is designed to motivate the relationship between integrals around boundaries and integrals over the interior.
  2. Students work in small groups to evaluate a particular integral around the boundary of simple regions.
  3. The whole class wrap-up discussion brings out the idea that such integrals contain information about the interior of the regions, in this case the area, providing a concrete example of Area Corollary to Green's/Stokes' Theorem.

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