Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=langlesin y, sin z, y zangle),
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Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface.
\(\mathbf{F}=\langle\sin y, \sin z, y zangle\), rectangle \(0 \leq y \leq 2,0 \leq z \leq 3\) in the \((y, z)\)-plane, normal pointing in negative \(x\)-direction
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