Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. (x^{2}+y^{2}=4, quad 0 leq
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Calculate \(\iint_{\mathcal{S}} f(x, y, z) d S\) for the given surface and function.
\(x^{2}+y^{2}=4, \quad 0 \leq z \leq 4 ; \quad f(x, y, z)=e^{-z}\)
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