Today's Word of the Day means...

[in-ti-gruh l, in-teg-ruh l]
/ˈɪn tɪ grəl, ɪnˈtɛg rəl/

1.

of, pertaining to, or belonging as a part of the whole; constituent or component:

integral parts.

2.

necessary to the completeness of the whole:

This point is integral to his plan.

3.

consisting or composed of parts that together constitute a whole.

4.

entire; complete; whole:

the integral works of a writer.

5.

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

6.

Mathematics. pertaining to or involving integrals.

7.

an integral whole.

8.

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.

Origin

Related forms

integrality, noun

integrally, adverb

unintegral, adjective

unintegrally, adverb

Synonyms

2. essential, indispensable, requisite.

Dictionary.com Unabridged

Based on the Random House Dictionary, © Random House, Inc. 2014.

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Based on the Random House Dictionary, © Random House, Inc. 2014.

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Examples for integral

- These considerations were
*integral*to the design, he says. - Space exploration has bred satellite technology, which has become an
*integral*part of modern living. - Side comment on the path
*integral*formulation of quantum mechanics. - Children detect falseness a mile away, so believing in what you're doing is an
*integral*part of leading by example. - Intuition and creativity are also
*integral*to his work. - Both of these sectors are demand drivers of rare earths, used in magnets and batteries
*integral*to these products. - Those courts were in fact an
*integral*part of the rebellion. - By that point, she hopes sustainability will be an
*integral*part of the design process, making the pact redundant. - It functioned more as partial guide than as
*integral*component in the stroke. - Starting in the jet era, flight data recorders became
*integral*to investigating crashes.

British Dictionary definitions for integral

adjective (ˈɪntɪɡrəl; ɪnˈtɛɡrəl)

1.

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

2.

intact; entire

3.

formed of constituent parts; united

4.

(maths)

- of or involving an integral
- involving or being an integer

noun (ˈɪntɪɡrəl)

5.

(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) ʃ

6.

a complete thing; whole

Derived Forms

integrality (ˌɪntɪˈɡrælɪtɪ) noun

integrally, adverb

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

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© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins

Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Cite This Source

Word Origin and History for integral

integral

1471, "of or pertaining to a whole," from M.Fr. intégral (14c.), from M.L. integralis "forming a whole," from L. integer "whole" (see integer).

Online Etymology Dictionary, © 2010 Douglas Harper

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integral in Science

integral (ĭn'tĭ-grəl) Adjective Involving or expressed as an integer or integers. Noun See definite integral, indefinite integral. |

The American Heritage® Science Dictionary

Copyright © 2002. Published by Houghton Mifflin. All rights reserved.

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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.

Cite This Source

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