integral

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Related to integral: integral calculus, Integral part

in·te·gral

(ĭn′tĭ-grəl, ĭn-tĕg′rəl)

adj.

1. Essential or necessary for completeness; constituent: The kitchen is an integral part of a house.

2. Possessing everything essential; entire.

3. (ĭn′tĭ-grəl) Mathematics

a. Expressed or expressible as or in terms of integers.

b. Expressed as or involving integrals.

1. A complete unit; a whole.

2. (ĭn′tĭ-grəl) Mathematics

a. A number computed by a limiting process in which the domain of a function, often an interval or planar region, is divided into arbitrarily small units, the value of the function at a point in each unit is multiplied by the linear or areal measurement of that unit, and all such products are summed.

b. A definite integral.

c. An indefinite integral.

[Middle English, from Old French, from Medieval Latin integrālis, making up a whole, from Latin integer, complete; see integer.]

in′te·gral′i·ty (-grăl′ĭ-tē) n.

in′te·gral·ly adv.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

integral

adj

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

2. intact; entire

3. formed of constituent parts; united

4. (Mathematics) maths

a. of or involving an integral

b. involving or being an integer

5. (Mathematics) 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: ∫

6. a complete thing; whole

integrality n

ˈintegrally adv

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

in•te•gral

(ˈɪn tɪ grəl, ɪnˈtɛg rəl)

adj.

1. of or belonging as an essential part of the whole; necessary to completeness; constituent: an integral part.

2. composed of parts that together constitute a whole.

3. entire; complete; whole.

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

5. pertaining to or involving mathematical integrals.

6. an integral whole.

7. Math.

a. 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.

b. a primitive.

c. any of several analogous quantities.

[1545–55; < Medieval Latin integrālis. See integer, -al¹]

in`te•gral′i•ty, n.

in′te•gral•ly, adv.

in·te·gral

(ĭn′tĭ-grəl)

1. Involving or expressed as an integer or integers.

2. In calculus, the result of integration.

The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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Noun	1.	integral - the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x) figuring, reckoning, calculation, computation - problem solving that involves numbers or quantities indefinite integral - the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x) definite integral - the integral of a function over a definite interval
Adj.	1.	integral - existing as an essential constituent or characteristic; "the Ptolemaic system with its built-in concept of periodicity"; "a constitutional inability to tell the truth" built-in, inbuilt, inherent, constitutional intrinsic, intrinsical - belonging to a thing by its very nature; "form was treated as something intrinsic, as the very essence of the thing"- John Dewey
	2.	integral - constituting the undiminished entirety; lacking nothing essential especially not damaged; "a local motion keepeth bodies integral"- Bacon; "was able to keep the collection entire during his lifetime"; "fought to keep the union intact" intact, entire whole - including all components without exception; being one unit or constituting the full amount or extent or duration; complete; "gave his whole attention"; "a whole wardrobe for the tropics"; "the whole hog"; "a whole week"; "the baby cried the whole trip home"; "a whole loaf of bread"
	3.	integral - of or denoted by an integer

integral

adjective

1. essential, basic, fundamental, necessary, component, constituent, indispensable, intrinsic, requisite, elemental Rituals form an integral part of any human society.
essential unnecessary, unimportant, inessential

2. whole, full, complete, entire, intact, undivided This is meant to be an integral service.
whole fractional, partial

Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

integral

adjective

1. Constituting or forming part of the essence of something:

basic, constitutional, constitutive, essential, fundamental, vital.

2. Lacking nothing essential or normal:

complete, entire, full, intact, perfect, whole.

noun

An organized array of individual elements and parts forming and working as a unit:

entity, sum, system, totality, whole.

Translations

integrál

Integral wesentlich

άρτιος ολοκλήρωμα

integral

integraali

intégrale entier essentiel

integral

integrál

heilduntegrun

integrale integrare integrazione integro numero intero

integral

integral

[ˈɪntɪgrəl]

A. ADJ (= essential) [part] → integrante, esencial
it is an integral part of the plan → es parte integrante or esencial del proyecto

B. N (Math) → integral f

C. CPD integral calculus N (Math) → cálculo m integral

Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

integral

[ɪnˈtɛgrəl ˈɪntɪgrəl] adj
an integral part of sth → une partie intégrante de qch
to be an integral part of sth, to form an integral part of sth → faire partie intégrante de qch
an integral element of sth → un élément constitutif de qch, un élément à part entière de qch
an integral component of sth → un composant à part entière de qch
to play an integral role in sth → jouer un rôle à part entière dans qch
to be integral to sth → faire partie intégrante de qchintegral calculus n → calcul m intégral

integral

adj

part → wesentlich, integral (geh); to be integral to something → ein wesentlicher Bestandteil einer Sache (gen) → sein; to play an integral role in something → eine wesentliche Rolle bei etw spielen

(= whole) → vollständig, vollkommen

(Math) → Integral-

n (Math) → Integral nt

Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

integral

[ˈɪntɪgr/əl]

1. adj (essential, part) → integrante
to be an integral part of → essere parte integrante di

2. n (Math) → integrale m

References in classic literature ?

The Chorus too should be regarded as one of the actors; it should be an integral part of the whole, and share in the action, in the manner not of Euripides but of Sophocles.

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"Because it will be trying to solve the problem called `the problem of the three bodies,' for which the integral calculus is not yet far enough advanced."

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He was a stript abstract; an unfractioned integral; uncompromised as a new-born babe; living without premeditated reference to this world or the next.

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Her flexuous and stealthy figure became an integral part of the scene.

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The latter was the eternal, living principle or soul in him; and in sleep, being for the time dissociated from the characterizing mind, which at other times employed it for its outer vehicle or agent, it spontaneously sought escape from the scorching contiguity of the frantic thing, of which, for the time, it was no longer an integral. But as the mind does not exist unless leagued with the soul, therefore it must have been that, in Ahab's case, yielding up all his thoughts and fancies to his one supreme purpose; that purpose, by its own sheer inveteracy of will, forced itself against gods and devils into a kind of self-assumed, independent being of its own.

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But if we should be disunited, and the integral parts should either remain separated, or, which is most probable, should be thrown together into two or three confederacies, we should be, in a short course of time, in the predicament of the continental powers of Europe -- our liberties would be a prey to the means of defending ourselves against the ambition and jealousy of each other.

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For happiness is not like that numerical equality which arises from certain numbers when added together, although neither of them may separately contain it; for happiness cannot be thus added together, but must exist in every individual, as some properties belong to every integral; and if the military are not happy, who else are so?

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It forms an integral part of the duties of an officer.

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The executive magistrate forms an integral part of the legislative authority.

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That huge monopoly centers within itself not merely its own hereditary and long-established power and influence; but also those of its ancient rival, but now integral part, the famous Northwest Company.

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This was especially the case in Sydney, where, from the heart of the fair city, down the vista of important streets, could be seen the wool- clippers lying at the Circular Quay - no walled prison-house of a dock that, but the integral part of one of the finest, most beautiful, vast, and safe bays the sun ever shone upon.

View in context

Was it possible, that this husband who with his own lips had confessed he had never loved her, had been a more integral part of herself than the son who had adored her?