Multivariable Calculus Quiz
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Consider the triple integral ∭E(x4+y4+z4+2x2y2+2y2z2+2x2z2) dV\iiint_E (x^4 + y^4 + z^4 + 2x^2y^2 + 2y^2z^2 + 2x^2z^2) \, dV over the solid sphere x2+y2+z2≤R2x^2 + y^2 + z^2 \leq R^2. Using symmetry arguments, which expression correctly represents the simplified form of this integral?
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