Question: Evaluate double integral (x ^2 + y ^2 + z) dS , where S is the boundary of the finite region bounded by the graphs

Evaluate double integral (x ^2 + y ^2 + z) dS , where S is the boundary of the finite region bounded by the graphs of the paraboloids {z = 4 x^ 2 y ^2} and {z = x^ 2 + y ^2}.

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