# integral

[ in-ti-gruhl, in-teg-ruhl ]

/ ˈɪn tɪ grəl, ɪnˈtɛg rəl /

||

### adjective

### noun

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.

## Nearby words

## Origin of integral

SYNONYMS FOR integral

Related formsin·te·gral·i·ty, nounin·te·gral·ly, adverbun·in·te·gral, adjectiveun·in·te·gral·ly, adverb

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## Examples from the Web for integrally

## British Dictionary definitions for integrally

## integral

### adjective (ˈɪntɪɡrəl, ɪnˈtɛɡrəl)

(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

### noun (ˈɪntɪɡrəl)

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 Formsintegrality (ˌɪntɪˈɡrælɪtɪ), nounintegrally, 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

## Word Origin and History for integrally

## integral

late 15c., "of or pertaining to a whole," from Middle French intégral (14c.), from Medieval Latin integralis "forming a whole," from Latin integer "whole" (see integer). Related: Integrally. As a noun, 1610s, from the adjective.

Online Etymology Dictionary, © 2010 Douglas Harper

## Science definitions for integrally

## integral

[ ĭn′tĭ-grəl ]

### Adjective

Involving or expressed as an integer or integers.

### Noun

See definite integral indefinite integral.

The American Heritage® Science Dictionary
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