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Green's Theorem

This video covers Green's Theorem, which relates the line integral of a vector field along a closed curve to the double integral of the region enclosed by the curve. We define positive orientation of a closed curve, keeping the interior region on the left. In the video Green's Theorem is extended to regions that are not simply-connected, i.e. have a finite number of holes in them. The last part of the video covers finding the area of a closed region by evaluating the line integral of the boundary curve using Green's Theorem.