# 8.12: Area Under the Curve

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**Practice**Area Under the Curve

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The symbol "", read "delta", is used to denote "change in", as in "the change in velocity over time" = .

definite integral

A definite integral gives the area between the x-axis and a curve over a defined interval.integral

An integral is used to calculate the area under a curve or the area between two curves.limit

A limit is the value that the output of a function approaches as the input of the function approaches a given value.subintervals

Subintervals are created when an interval is broken into smaller equally sized intervals.summand

A summand is an expression being summed. It directly follows the sigma symbol.### Image Attributions

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The definition of integration, using limits to calculate the area under a curve.

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Date Created:

Nov 01, 2012
Last Modified:

Mar 23, 2016
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