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Bounded Area

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AP Calculus AB/BC

Definition

The bounded area refers to the region enclosed by a curve or curves on a graph. It is the area that lies between the curve(s) and the x-axis.

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Practice Questions (2)

The graphs of y = x^2 -4 and y = 2x - x^2 create a bounded area that is the base of a solid. This solid has cross sections that are perpendicular to the 𝑥-axis and form squares. What are the bounds of the integral for the volume of this solid?
The graphs of y = x^2 - 4 and y = 2x - x^2 create a bounded area that is the base of a solid. This solid has cross sections that are perpendicular to the 𝑥-axis and form squares. Which equation gives the length of one side of a single square cross section for some x value?

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