Calculate (iint_{mathcal{S}} f(x, y, z) d S) for the given surface and function. Part of the plane
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Calculate \(\iint_{\mathcal{S}} f(x, y, z) d S\) for the given surface and function.
Part of the plane \(x+y+z=0\) contained in the cylinder \(x^{2}+y^{2}=1 ; f(x, y, z)=z^{2}\)
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