[Solved] Use the Divergence Theorem to compute the integral of the vector field F(x, y, z)=x \veci+2 y \vecj+3 z \veck over a sphere of radius R. (Hint:


Question: Use the Divergence Theorem to compute the integral of the vector field \(\vec{F}(x, y, z)=x \vec{i}+2 y \vec{j}+3 z \vec{k}\) over a sphere of radius \(R\). (Hint: Don't be misled by the large blank space below. This problem only takes a few lines.)

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