Question: Evaluate \(\int\limits_{1}^{3}{\int\limits_{-2}^{-1}{\left( {{x}^{2}}y-2x{{y}^{3}} \right)dydx}}=\int\limits_{1}^{3}{\left( \frac{{{x}^{2}}{{y}^{2}}}{2}-\frac{x{{y}^{4}}}{2} \right)}\)