Area is a quantity that expresses the extent of a two-dimensional surface or shape, or planar lamina, in the plane. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
Area Between Curves
The area between a positive-valued curve and the horizontal axis, measured between two values
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Area Between Two Graphs
The area between two graphs can be evaluated by calculating the difference between the integrals of the two functions.
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Integration: Area Under a Curve
Integration can be thought of as measuring the area under a curve, defined by
Example
Find the area between the two curves
Two curves,