Question involving the Divergence Theorem and Surface Integrals

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lys04
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Homework Statement
Divergence theorem problem
Relevant Equations
Divergence theorem, surface integrals
Is this correct? Ignore my bad drawings
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It looks fine, but in the future please do not simply post images. The forum has a perfectly functioning LaTeX implementation, use it! If you just post a screenshot of your compiled math there is no possibility for us to quote particular sections of your post and it is less readable.