- #1
sam121
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Homework Statement
Verify Green's Theorem in the plane for the [itex]\oint[/itex] [(x[itex]^{2}[/itex] - xy[itex]^{2}[/itex])dx + (y[itex]^{3}[/itex] + 2xy)dy] where C is a rectangle with vertices at (-1,-2), (1,-2), (1,1) and (-1,1).
The Attempt at a Solution
This means you have to use green's theorem to convert it into a double integral and solve which I have done. Not 100% sure whether the answer is 6 or 12 however. You then have to do the line integral directly to verify you get the same answer. This is where I get stuck. Please could I have some help on how to do this line integral directly? thank you :)