Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. (Phi(u, v)=left(u, v^{3}, u+vight),
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Calculate \(\iint_{\mathcal{S}} f(x, y, z) d S\) for the given surface and function.
\(\Phi(u, v)=\left(u, v^{3}, u+vight), \quad 0 \leq u \leq 1,0 \leq v \leq 1\);
\(f(x, y, z)=y\)
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