Question

Use symmetry to evaluate the double integral ∫∫R(10+x^2⋅y^5) dA, R=[0, 6]×[−4, 4].

(Give your answer as an exact number.)


∫∫R(10+x^2⋅y^5) dA=

Answer 1

The integral is easy enough, but I sure don't see where symmetry helps, especially in that region R.