# integral

[in-ti-gruh l, in-teg-ruh l]

- 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.

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- 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.

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## Origin of integral^{}

## Synonyms

See more synonyms for integral on Thesaurus.com2. essential, indispensable, requisite.

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## Examples from the Web for integrally

### Historical Examples

#### For both, reality as well as truth are integrally given in eternity.

Creative EvolutionHenri Bergson

#### Not alone is each one integral, but Lincoln is integrally in each.

Abraham Lincoln's Cardinal Traits;Clark S. Beardslee

#### It is a characteristic of our minds, that they cannot take an object in, which is submitted to them simply and integrally.

An Essay on the Development of Christian DoctrineJohn Henry Cardinal Newman

#### Is it the sort of unit which we should use as a result of having memorized it integrally?

The Principles of Language-StudyHarold E. Palmer

#### I understand why Rome is the real school for learning, integrally, both ancient and modern history.

Csar or NothingPo Baroja Baroja

# 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

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- 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

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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

### adj.

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.

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Online Etymology Dictionary, © 2010 Douglas Harper

# integral

[ĭn′tĭ-grəl]

- Involving or expressed as an integer or integers.

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