Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langle y, z, 0angle, quad Phi(u, v)=left(u^{3}-v, u+v, v^{2}ight), 0 leq u leq 2,0

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

\(\mathbf{F}=\langle y, z, 0angle, \quad \Phi(u, v)=\left(u^{3}-v, u+v, v^{2}ight), 0 \leq u \leq 2,0 \leq v \leq 3\), downward-pointing normal

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