Easy# Applying the Fundamental Theorem Using Data from a Table

APCALC-XY5KEZ

$$x \hspace{1.2cm}$$ | -1 | 0 | 1 | 2 |
---|---|---|---|---|

$f(x)$ | 0.25 | -1.75 | -2.5 | -1.75 |

$f'(x)$ | -2 | -1.75 | 0 | 1.75 |

The table above gives values of a function $f$ and its derivative at selected values of $f$.

If $f'$ is continuous on $[-1,2]$, what is the value of $\int_{-1}^{2}f'(x)dx$?