The area between the curves and  between  and  is given by

.

Example 1:

Find the area of the region bounded by the graphs of  and

Solutions:

The two lines intersect at the points (-2, -2) and (1, 1) since

Thus, the area is

Example 2:

Find the area of the region bounded by the graphs of  and

Solution:

The two lines intersect at the points ( -2, -8), ( 0, 0) and ( 2, 0) since

Thus, the area is