definite integral

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 1875–80 Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

British Dictionary definitions for definite integral

definite integral


  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.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.