Question

calculate the definite integral $int_{0}^{a} f(x) dx$ by referring to the figure on the right with the indicated areas.
area $a = 1,208$
area $b = 2,321$
area $c = 3,053$
area $d = 1,617$
$int_{0}^{a} f(x) dx=square$ (simplify your answer.)

Explanation:

Step1: Recall the property of definite integral and area

The definite integral \(\int_{0}^{a}f(x)dx\) is equal to the negative of the area \(A\) (since the region \(A\) is below the \(x -\)axis).

Step2: Substitute the value of area \(A\)

Given \(A = 1208\). So \(\int_{0}^{a}f(x)dx=-A\)

Answer:

\(- 1208\)