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- Area Between Two Curves

Applications Of The Definite Integrals: (lesson 1 of 3)

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