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This page demonstrates Green’s Theorem by comparing a line
integral around the boundary of an area with integration over the area. Green’s Theorem states
We can demonstrate
this in a simple situation.(Of course,
the real value of this theorem is when one of the integrals is easier than the
other.Here, both are fairly easy.)
Let’s evaluate where the curve C is the lines joining the points (2,1), (5,1), (5,3), and (2,3).
where the curve C is the lines joining the points (2,1), (5,1), (5,3), and (2,3).
