Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface or parametrized surface. (mathbf{F}(x, y, z)=langle-y, z,-xangle, quad Phi(u, v)=(u+3 v, v-2 u, 2

Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface or parametrized surface.

\(\mathbf{F}(x, y, z)=\langle-y, z,-xangle, \quad \Phi(u, v)=(u+3 v, v-2 u, 2 v+5), 0 \leq u \leq 1,0 \leq v \leq 1\), upward-pointing normal

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