Let (mathcal{S}) be the disk (x^{2}+y^{2} leq 1) in the (x y)-plane oriented with normal in the

Question:

Let $\mathcal{S}$ be the disk $x^{2}+y^{2} \leq 1$ in the $x y$-plane oriented with normal in the positive $z$-direction. Determine $\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}$ for each of the following vector constant fields:
(a) $\mathbf{F}=\langle 1,0,0angle$
(b) $\mathbf{F}=\langle 0,0,1angle$
(c) $\mathbf{F}=\langle 1,1,1angle$

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