Question: Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=leftlangle 0,0, e^{y+z}ightangle, quad) boundary of unit cube (0 leq x leq 1,0 leq

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

$\mathbf{F}=\left\langle 0,0, e^{y+z}ightangle, \quad$ boundary of unit cube $0 \leq x \leq 1,0 \leq y \leq 1,0 \leq z \leq 1$, outward-pointing normal

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