Is this just TRUE?
$$\oint_{\partial S} f(z) \, dz = i\iint_S \bigg[\frac{\partial{f}}{\partial{x}}+i \frac{\partial{f}}{\partial{y}}\bigg] \, dx \, dy$$
Because I'm using it without a proof, and I am finding an absurd! I hope the error is in here.
2026-03-25 06:02:00.1774418520
Is this equality true? (cauchy integral + green's theorem)
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