[See Steps] Evaluate
Question: Evaluate \(\int\limits_{1}^{3}{\int\limits_{-2}^{-1}{\left( {{x}^{2}}y-2x{{y}^{3}} \right)dydx}}=\int\limits_{1}^{3}{\left( \frac{{{x}^{2}}{{y}^{2}}}{2}-\frac{x{{y}^{4}}}{2} \right)}\)
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[Solved] Correctly reverse the order of integration, then evaluate
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[Solution] Suppose Anytown, USA has a fixed population of 200,000.
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[See Solution] Find the centroid of the portion of the cardioid r=1+
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