?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

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 $\int_{-1}^{2}f'(x)dx$?

A

$-2$

B

$-\cfrac{2}{3}$

C

$1.25$

D

$3.75$