Circle?

Calculus Level 3

\[\int_{C} \int_{C}x^{3}y^{2}\, dx\; dy=\, ? \]

where \(C\) is a region, \(x^2+y^2\leq r^2\), where \(r\in \mathbb R\).

Notation: \(\mathbb R \) denotes the set of real numbers.

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