Question: Let (C) be a closed curve and (D) the enclosed region. Prove the identity [int_{C} phi abla phi cdot mathbf{n} d s=int_{D}left(phi abla^{2} phi+abla phi

Let \(C\) be a closed curve and \(D\) the enclosed region. Prove the identity

\[\int_{C} \phi abla \phi \cdot \mathbf{n} d s=\int_{D}\left(\phi abla^{2} \phi+abla \phi \cdot abla \phi\right) d A\]

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