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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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Compare indefinite integral.

## 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

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

## How to use definite integral in a sentence

The first inquiry leads directly to the indefinite integral, the second directly to the definite integral.

Integrators serve to evaluate a definite integral âˆ«ab f(x)dx.

While an integrator determines the value of a definite integral, hence a Integraphs.

The instrument now is an integraph giving the value of a definite integral as function of a variable parameter.

## 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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