Answer
$20$
Work Step by Step
Given: $I=\int_{-4}^4 |-x-2| \ dx$
In order to solve the above integral, we will use the following formula such as:
$\int |ax+b| \ dx=\dfrac{1}{2a}(ax+b)|ax+b|+C$
Now, we have $I=-\dfrac{1}{2} [(-x-2)|-x-2|]_{-4}^4 $
or, $=-\dfrac{1}{2}[ [(-4-2)|-4-2|]-[(-(-4)-2)|-(-4)-2|]]$
or, $=-\dfrac{1}{2} \times (-36) +\dfrac{1}{2}(4)$
or, $=20$
