the representation, usually in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points.
When to Use Definite vs. Indefinite Articles
Articles are a unique type of adjectives that indicate which noun (person, place, or thing) you’re talking about. The only definite article in English is the, and it refers to a specific noun. Indefinite articles (a or an) refer to nouns more generally. Indefinite Articles Indefinite articles refer to non-specific nouns. Think “I need a pen” or “I want an orange.” In both cases, we …
The Clarifying Powers of A, An, and The
Articles are words that make it clear whether a noun refers to something specific or something general. The English language has only three articles: a, an, and the. This stanza from Emily Dickinson’s poem “A Bird Came Down the Walk” demonstrates the use of all three: A Bird came down the Walk— He did not know I saw— He bit an Angleworm in halves And …
Compare indefinite integral.
Origin of definite integral
First recorded in 1875–80
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
- 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, 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
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.