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

Area Between Two Curves

The area between the curves Area Between Two Curvesand between Area definition and Area definition is given by

Area.

Example 1:

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

Solutions:

Area solution

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

Area solution

Thus, the area is

Area solution

Example 2:

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

Solution:

Area solution

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

Area solution

Thus, the area is

Area solution