두 곡선 사이의 넓이

$\displaystyle \int _{0} ^{2} {} \left\{ \left( x ^{2} + 3 \right) - \left( - \frac{1}{5} x ^{2} + 3 \right) \right\} dx$ $\displaystyle = \int _{0} ^{2} {} \left( \frac{6}{5} x ^{2} \right) dx$$\displaystyle = \left[ \begin{array}{l} \begin{matrix} \\ \end{matrix} \frac{2}{5} x ^{3} \end{array} \right] _{0} ^{2}$$\displaystyle = \frac{2}{5} \times 2 ^{3}$$\displaystyle = \frac{16}{5}$