That means \(\displaystyle\int^{2}_{0}\int^{1}_{-1}x^2+y^2 dx dy\)
\(\displaystyle\int^{2}_{0}\int^{1}_{-1}x^2+y^2 dx dy\\ =\displaystyle\int^{2}_{0}\left[\dfrac{x^3}{3}+xy^2\right]^{1}_{-1}dy\\ =\displaystyle\int^{2}_{0}\left(\dfrac{2}{3}+2y^2\right)dy\\ =\left[\dfrac{2y}{3}+\dfrac{2y^3}{3}\right]^{2}_{0}\\ =\dfrac{20}{3}\)
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