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Area Between Curves

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AP Calculus AB/BC

Definition

The area between curves refers to the region enclosed by two or more curves on a graph. It represents the total space bounded by these curves.

"Area Between Curves" also found in:

Subjects (3)

Practice Questions (11)

What are the additional steps required when finding the area between curves that intersect at more than two points?
How do you calculate the area between curves that intersect at more than two points using vertical slices?
How do you calculate the area between curves that intersect at more than two points using horizontal slices?
What is the key step when finding the area between curves that intersect at more than two points?
What should you do after graphing the functions when finding the area between curves that intersect at more than two points?
What is the purpose of integrating from the intersection points when finding the area between curves that intersect at more than two points?
How do you calculate the area between curves that intersect at more than two points using vertical slices when the curves are functions of y?
How do you calculate the area between curves that intersect at more than two points using horizontal slices when the curves are functions of x?
How do you calculate the area between curves that intersect at more than two points using vertical slices when the curves are given in parametric form?
What is the relationship between the area between curves and the integration process?
When finding the area between curves that intersect at more than two points, what is the significance of identifying the intersection points?

Additional resources (1)

AP Calculus AB/BC - Unit 8 Overview: Applications of Integration

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