Answer
$\frac{13}{2}.$
Work Step by Step
As in the figure below, the area will be the area of two triangles as follows
$$
\int_{-2}^{3} |x| d x= 2+\frac{9}{2}=\frac{13}{2}.
$$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/bc6a96af-025c-47ff-8ae4-81d4d869a081/steps_image/small_1577255932.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001856Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=befeed64df3fc12e41f7b43a228e428c744a8bfdfb90d1c8659092d176c74ff7)
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.