Answer
$\int_{-4}^4 (4-|x|)dx$
Work Step by Step
Using the function $f(x)= 4-|x|$, and the interval [-4,4] (given by the pink shading} the definite integral can be set-up, using the interval as the limits of integration.
$\int_{-4}^4 (4-|x|)dx$