How to evaluate the definite integral with absolute value

The video tutorial explains the properties of absolute value graphs, including their vertex and slope. It discusses how the graph shifts and changes in slope, and evaluates the function at specific points. The tutorial also covers calculating the dimensions of triangles formed on the graph and finding the total area under the graph.

How do you calculate the area under the graph based on the provided information?

What are the final results of the area calculations and how are they derived?