Question

question 2 (1 point)
the table below gives the value of a function f and its derivative f at several values of x.
use the table to compute ∫₄¹ f(x) dx.
7
4
3
−7
5

Explanation:

Step1: Apply Fundamental Theorem of Calculus

$\int_{4}^{1} f'(x)dx = f(1) - f(4)$

Step2: Substitute values from table

$f(1) = -1$, $f(4) = -6$
$\int_{4}^{1} f'(x)dx = -1 - (-6) = 5$

Answer:

5