5. Find the region $R$ in $\mathbb{R}^2$ satisfying \begin{align*} \int_{\frac{1}{\sqrt{2}}}^1 \int_{\sqrt{1-x^2}}^x xy \, dy dx + \int_1^{\sqrt{2}} \int_0^x xy \, dy dx + \int_{\sqrt{2}}^2 \int_0^{\sqrt{4-x^2}} xy \, dy dx = \iint_R xy \, dx dy. \end{align*} Evaluate $\iint_R xy \, dx dy.$
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The condition is luda xy dydx xy dxdu R. This condition is not clear and seems to be a typo or a mistake. It is not possible to determine the region R based on this condition. Please provide the correct condition or clarify the question. Show moreβ¦
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