integral

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See also: INTEGRAL and intégral

English[edit]

Etymology[edit]

From Middle French intégral, from Medieval Latin integralis, from Latin integer (entire); see integer.

Pronunciation[edit]

  • Noun
    (UK) enPR: ĭnʹtĭ-grəl, IPA(key): /ˈɪntɪgrəl/
    (US) enPR: ĭnʹtə-grəl, IPA(key): /ˈɪntəgrəl/
  • (file)
  • Adjective
Dictionaries give the same pronunciation as for the noun, but the adjective is often pronounced with the accent on the second syllable:

Adjective[edit]

integral (comparative more integral, superlative most integral)

  1. Constituting a whole together with other parts or factors; not omittable or removable
    • South
      Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.
  2. (mathematics) Of, pertaining to, or being an integer.
  3. (mathematics) Relating to integration.
  4. (obsolete) whole; undamaged
    • Francis Bacon
      A local motion keepeth bodies integral.

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Translations[edit]

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

Noun[edit]

Wikipedia has an article on:

Wikipedia

integral (plural integrals)

  1. (mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
    The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.
  2. (mathematics) Antiderivative
    The integral of x^2 is \frac{x^3}{3} plus a constant.

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Portuguese[edit]

Etymology[edit]

From Medieval Latin integralis, from Latin integer (entire; untouched).

Pronunciation[edit]

  • (Brazil) IPA(key): /ˌĩ.t̪e.ˈgɾaw/
  • Hyphenation: in‧te‧gral

Adjective[edit]

integral m, f (plural integrais; comparable)

  1. integral; whole; entire
  2. (of food) whole (from which none of its constituents has been removed)

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Noun[edit]

integral f (plural integrais)

  1. (mathematics) integral (limits of sums)
  2. (mathematics) antiderivative

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Romanian[edit]

Etymology[edit]

From French intégral.

Adjective[edit]

integral

  1. integral

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Spanish[edit]

Etymology[edit]

From Medieval Latin integralis, from Latin integer (entire).

Pronunciation[edit]

Adjective[edit]

integral m, f (plural integrales)

  1. integral
  2. whole
  3. brown (rice)
  4. whole-grain

Noun[edit]

integral f (plural integrales)

  1. (mathematics) integral

Swedish[edit]

Phonetik.svg This entry needs pronunciation information. If you are familiar with IPA then please add some!
EB1911 - Volume 01 - Page 001 - 1.svg This entry lacks etymological information. If you are familiar with the origin of this term, please add it to the page as described here.

Noun[edit]

integral c

  1. (mathematics) integral

Declension[edit]


Turkish[edit]

Etymology[edit]

From French intégral.

Pronunciation[edit]

Noun[edit]

integral (definite accusative integrali, plural integraller)

  1. (mathematics) integral
    \int_a^b \! f(x)\,dx \,

Declension[edit]