(adsbygoogle = window.adsbygoogle || []).push({}); Questions about Green's Theorem

When asked to demonstrate that Green's Theorem works, I keep coming up with disagreeing answers. I've been able to do the double integrals for the area of a region over a function F just fine, but whenever I try to integrate the same function over the closed curve using the normal vector, I keep getting zero... Say, I was integrating a function over a square. The double integral over the area works out just fine, but when I break the curve up into 4 sides, and try integrating each of those, I keep getting zero, because the opposite sides of the square cancel each other out. I don't really know what I'm missing, and it's been driving me nuts.:grumpy: Is there anything obvious that I'm just missing somehow?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Problems with Greens' Theorem

**Physics Forums | Science Articles, Homework Help, Discussion**