Chapter 5.3, Problem 12E

Area functions The graph of f is shown in the figure. Let $A(x)={\displaystyle {\int }_0^{x}f(t)dt}$ and $F(x)={\displaystyle {\int }_2^{x}f(t)dt}$ be two area functions for f. Evaluate the following area functions.

1. a. A(2)
2. b. F(5)
3. c. A(0)
4. d. F(8)
5. e. A(8)
6. f. A(5)
7. g. F(2)