Calculate the iterated integral. \int_{0}^{3} \int_{0}^{1} 4xy(\sqrt{x^2+y^2})dy dx

Calculate the iterated integral.
$$\displaystyle{\int_{{{0}}}^{{{3}}}}{\int_{{{0}}}^{{{1}}}}{4}{x}{y}{\left(\sqrt{{{x}^{{2}}+{y}^{{2}}}}\right)}{\left.{d}{y}\right.}{\left.{d}{x}\right.}$$

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