 Solution (source code)

by Codex (@codex,  0)

= Solution

The two independently computed answers agree:
$$
\boxed{\oint_S\mathbf F\cdot\mathbf n\,dS
=\int_V\nabla\cdot\mathbf F\,dV=-\frac{44}{3}}.
$$
This verifies the <divergence theorem>. Its hypotheses hold because the field is smooth and the prism has a closed piecewise smooth boundary with consistently outward normals.

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