Chapter 6.3, Problem 19E

In Exercises 19 and 20, determinexit is true, explain why it is true. If it is false, give an example to show why it is false.

19. If f is continuous on [a, b] and ${\displaystyle \underset{\text{a}}{\overset{\text{b}}{\int }}\text{f}(\text{x})\text{dx}}>0$, then f(x) ≥ 0 for all x in [a, b].