# integral

of, relating to, or belonging as a part of the whole; constituent or component: integral parts.

necessary to the completeness of the whole: This point is integral to his plan.

consisting or composed of parts that together constitute a whole.

entire; complete; whole: the integral works of a writer.

Arithmetic. pertaining to or being an integer; not fractional.

Mathematics. pertaining to or involving integrals.

an integral whole.

Mathematics.

Also called Riemann integral. the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.

a primitive.

any of several analogous quantities.: Compare improper integral, line integral, multiple integral, surface integral.

## Origin of integral

^{1}

## Other words for integral

## Other words from integral

- in·te·gral·i·ty, noun
- in·te·gral·ly, adverb
- un·in·te·gral, adjective
- un·in·te·gral·ly, adverb

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024

## How to use integral in a sentence

When it comes to maintaining and building the social relationships that are so

*integral*to well-being, folks would be wise to connect with others using their voices — by talking rather than typing.Texting all day? You’ll feel happier if you pick up the phone and chat. | Jill Suttie | November 6, 2020 | Washington PostThe path

*integral*works so well for particle motion that theorists in the ’50s proposed it as a quantum theory of gravity.The Most Famous Paradox in Physics Nears Its End | George Musser | October 29, 2020 | Quanta MagazineThat’s an

*integral*part of how a young child learns how to be a person.Forget Everything You Know About Your Dog (Ep. 436) | Stephen J. Dubner | October 22, 2020 | FreakonomicsMaybe you can’t define photosynthesis, but you’re an

*integral*part of an epistemic ecosystem that can not only define it but examine it at the smallest scales, and manipulate it for the benefit of all.Mountain headwater forests are an

*integral*part of California’s water infrastructure.Healthy forests do more than just prevent wildfires | By Bales & Conklin/The Conversation | October 19, 2020 | Popular-Science

It will be seen that the sixteen cams are forged integrally with the shaft and that it is spur-gear driven.

Aviation Engines | Victor Wilfred PagThe man who was accused of being denationalized stands as the most integrally and truly American among his contemporaries.

Thomas Jefferson | Gilbert ChinardThe northerly cross wall was tied into the brickwork of the east wall, showing that it was built integrally with the foundation.

The Cultural History of Marlborough, Virginia | C. Malcolm WatkinsIts leverage is felt within us as well as without, for expression and thought are integrally bound together.

The Teacher | George Herbert PalmerIn this case, the numeral "1" has been applied with wire fasteners rather than cast integrally with the two portions of the plate.

American Military Insignia 1800-1851 | J. Duncan Campbell and Edgar M. Howell.

## British Dictionary definitions for integral

(often foll by to) being an essential part (of); intrinsic (to)

intact; entire

formed of constituent parts; united

maths

of or involving an integral

involving or being an integer

maths the limit of an increasingly large number of increasingly smaller quantities, related to the function that is being integrated (the integrand). The independent variables may be confined within certain limits (definite integral) or in the absence of limits (indefinite integral): Symbol: ʃ

a complete thing; whole

## Derived forms of integral

- integrality (ˌɪntɪˈɡrælɪtɪ), noun
- integrally, adverb

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 integral

[ ĭn′tĭ-grəl ]

Involving or expressed as an integer or integers.

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

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