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# 8.12: Area Under the Curve

Difficulty Level: At Grade Created by: CK-12
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Practice Area Under the Curve

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### Vocabulary Language: English

$\Delta$

The symbol "$\Delta$", read "delta", is used to denote "change in", as in "the change in velocity over time" = $\frac{\Delta v}{t}$.

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.

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