# definite integral

Save This Word!

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.

## COMPARE MEANINGS

Click for a side-by-side comparison of meanings. Use the word comparison feature to learn the differences between similar and commonly confused words.
QUIZ
THINGAMABOB OR THINGUMMY: CAN YOU DISTINGUISH BETWEEN THE US AND UK TERMS IN THIS QUIZ?
Do you know the difference between everyday US and UK terminology? Test yourself with this quiz on words that differ across the Atlantic.
Question 1 of 7
In the UK, COTTON CANDY is more commonly known as…

## Origin ofdefinite integral

First recorded in 1875–80

## Words nearby definite integral

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © 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 ∫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
1. 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
2. the expression for that function, ʃ 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) = ʃ f (x) dx, the indefinite integral, ʃ b a f (x) dx = F (b) –F (a)
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for definite integral

definite integral
[ dĕfə-nĭt ]

The difference between the values of an indefinite integral evaluated at each of two limit points, usually expressed in the form baƒ(x)dx. The result of performing the integral is a number that represents the area bounded by the curve of ƒ(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.