integral (redirected from Integration (mathematics))

in·te·gral  (nt-grl, n-tgrl)

adj.

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

2. Possessing everything essential; entire.

3. (nt-grl) Mathematics

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

b. Expressed as or involving integrals.

n.

1. A complete unit; a whole.

2. (nt-grl) 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.

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

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inte·grali·ty (-grl-t) n.

inte·gral·ly adv.

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integral

adj [ˈɪntɪgrəl ɪnˈtɛgrəl]

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

n [ˈɪntɪgrəl]

1. (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 <$>

2. a complete thing; whole

integrality  [ˌɪntɪˈgrælɪtɪ] n

integrally  adv

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integral  (nt-grl)

Adjective

Involving or expressed as an integer or integers.

Noun

See definite integralindefinite integral

Thesaurus

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

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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

Translations

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

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 qch
integral 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

integral [ˈɪntɪgr/əl]

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

2. n (Math) → integrale m