Answer
$10$
Work Step by Step
According to Rule (3) in Table 5.4 : $\int_{0}^{2} 5xdx=5\cdot\int_{0}^{2} xdx$. Because $0\lt2$, by Equation (2): $=5\cdot\int_{0}^{2} xdx=5\cdot(\frac{2^2}{2}-\frac{0^2}{2})=5\cdot(\frac{4}{2}-\frac{0}{2})=5\cdot2=10$
