I'm trying to use Green's theorem to calculate the flux of $F$ through some curve. However, is it possible to use Green's theorem if the divergence of $F$ is $0$?
2026-02-22 17:55:22.1771782922
How to use Green's theorem if the divergence is $0$
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Of course. That means you're integrating $0$ over some area, the result of that is $0$, so the flux through the curve is $0$. Be careful that the divergence is defined at each point inside the curve.