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Let S be the boundary of the solid bounded by the paraboloid z=x^2+y^2 and the plane...

Let S be the boundary of the solid bounded by the paraboloid z=x^2+y^2 and the plane z=16
S is the union of two surfaces. Let S1 be a portion of the plane and S2 be a portion of the paraboloid so that S=S1∪S2
Evaluate the surface integral over S1
∬S1 z(x^2+y^2) dS=
Evaluate the surface integral over S2
∬S2 z(x^2+y^2) dS=
Therefore the surface integral over S is
∬S z(x^2+y^2) dS=

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