integral

Noun · Adjective
US[in-tuh-gruhl]/ˈɪntəɡrəl/3 syllablesalso [in-uh-gruhl] /ˈɪnəɡrəl/

Open English WordNet

Adjective (3)

  1. existing as an essential constituent or characteristic“the Ptolemaic system with its built-in concept of periodicity”“a constitutional inability to tell the truth”Synonyms: built-inconstitutionalinbuiltinherentOpposite extrinsicSimilar intrinsic, intrinsical
  2. 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”Synonyms: entireintactOpposite fractionalSimilar whole
  3. of or denoted by an integerRelating to integer

Noun (1)

  1. the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)Type of calculation, computationKinds indefinite integral, definite integral
Word of the day · Nov 2About this word
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Translations

Noun limit of sums

Spanish
integral
German
Integral
Italian
integrale
Portuguese
integral
Turkish
integral
Russian
интегра́л intɛgrál
Chinese
积分 jīfēn
Japanese
積分 sekibun
15 more languages
Polish
całka
Swedish
integral
Korean
적분 jeokbun
Indonesian
integral
Vietnamese
tích phân
Hungarian
integrál
Portuguese (PT)
integral
Chinese (Trad.)
積分 jī fēn
Catalan
integral
Esperanto
integralo
Finnish
integraali
Georgian
ინტეგრალი inṭegrali
Icelandic
heildun
Romanian
integrală

Adjective essential, integral part

Spanish
integral
German
integral
Italian
integrante
Portuguese
integral
Russian
неотъе́млемый neotʺjémlemyj
Greek
αναπόσπαστος anapóspastos
Indonesian
integral
Hungarian
szerves
5 more languages
Portuguese (PT)
integral
Esperanto
integra
Finnish
olennainen
Romanian
integral

The main translation for each meaning, from the langtolang.com multilingual dictionary. Each word links to its full entry there.

Webster's Dictionary (1913)

In′te·gral adjective

Origin: Cf. F. intégral. See Integer.

1. Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.

A local motion keepeth bodies integral.— Francis, Baron Verulam Bacon

2. Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.

Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.— Robert South

3. Mathematics (a) Of, pertaining to, or being, a whole number or undivided quantity; not fractional. (b) Pertaining to, or proceeding by, integration; as, the integral calculus.

Integral calculus. See under Calculus.


In′te·gral noun

1. A whole; an entire thing; a whole number; an individual.

2. Mathematics An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.

Elliptic integral, one of an important class of integrals, occurring in the higher mathematics; — so called because one of the integrals expresses the length of an arc of an ellipse.

Webster’s Revised Unabridged Dictionary (1913), from GCIDE 0.54

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