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# definite integral

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noun Mathematics.

the representation, usually in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points.

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## Origin of definite integral

First recorded in 1875â€“80

## Words nearby definite integral

defining, defining moment, definite, definite article, definite description, definite integral, definitely, definite relative clause, definite relative pronoun, definition, definitions

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Based on the Random House Unabridged Dictionary, Â© Random House, Inc. 2023

## How to use definite integral in a sentence

## British Dictionary definitions for definite integral

definite integral

noun

maths

- the evaluation of the indefinite integral between two limits, representing the area between the given function and the x- axis between these two values of x
- the expression for that function, Êƒ b a f (x) dx, where f (x) is the given function and x = a and x = b are the limits of integration. Where F (x) = Êƒ f (x) dx, the indefinite integral, Êƒ b a f (x) dx = F (b) â€“F (a)

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Â© William Collins Sons & Co. Ltd. 1979, 1986 Â© HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for definite integral

definite integral

[ dÄ•fâ€²É™-nÄt ]

The difference between the values of an indefinite integral evaluated at each of two limit points, usually expressed in the form âˆ«baÆ’(x)dx. The result of performing the integral is a number that represents the area bounded by the curve of Æ’(x) between the limits and the x-axis if f(x) is greater than or equal to zero between the limits.

The result of an integration performed on a fixed interval.

The American HeritageÂ® Science Dictionary
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