Assume that (f) and (g) have continuous partial derivatives of order 2. Prove that [ oint_{partial mathcal{S}}
Question:
Assume that \(f\) and \(g\) have continuous partial derivatives of order 2. Prove that
\[
\oint_{\partial \mathcal{S}} f abla g \cdot d \mathbf{r}=\iint_{\mathcal{S}} abla f \times abla g \cdot d \mathbf{S}
\]
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