English edit

Etymology edit

Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (entire); see integer.

Pronunciation edit

  • Noun
  • (UK) enPR: ĭnʹtĭ-grəl, IPA(key): /ˈɪntɪɡɹ(ə)l/
  • (US) enPR: ĭnʹtə-grəl, IPA(key): /ˈɪntəɡɹəl/, /ɪnˈtɛɡɹəl/
  • (file)
  • Adjective
  • (UK) IPA(key): /ˈɪntɪɡr(ə)l/, /ɪnˈtɛɡr(ə)l/
  • (US) enPR: ĭn-tĕgʹrəl, IPA(key): /ˈɪntəɡɹəl/, /ɪnˈtɛɡɹəl/
  • (file)

Adjective edit

integral (comparative more integral, superlative most integral)

  1. Constituting a whole together with other parts or factors; not omittable or removable
    Synonyms: immanent, inherent, necessary; see also Thesaurus:intrinsic
    • 1692–1717, Robert South, Twelve Sermons Preached upon Several Occasions, 6th edition, volumes (please specify |volume=I to VI), London: [] J[ames] Bettenham, for Jonah Bowyer, [], published 1727, →OCLC:
      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. (algebra, commutative algebra, of a ring element in a ring   relative to a subring  ) Being the root of some monic polynomial in  .
    Coordinate terms: integral element, algebraic
  5. (obsolete) Whole; undamaged.
    • 1631, Francis [Bacon], “(please specify |century=I to X)”, in Sylua Syluarum: Or A Naturall Historie. In Ten Centuries. [], 3rd edition, London: [] William Rawley; [p]rinted by J[ohn] H[aviland] for William Lee [], →OCLC:
      A local motion keepeth bodies integral.

Derived terms edit

Related terms edit

Translations edit

The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.

Noun edit

 
English Wikipedia has an article on:
Wikipedia

integral (plural integrals)

  1. (mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: , or a variant thereof.
    The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!
    1. (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
  2. (mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
    The integral of   on   is  , but the integral of the same function on   diverges. In notation,  , but  .
    Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface:  .
  3. (mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
    The integral of   is   plus a constant.
    Synonyms: antiderivative, indefinite integral,
    Antonym: derivative
    1. (mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus.

Derived terms edit

Related terms edit

Translations edit

Anagrams edit

Albanian edit

Noun edit

integral m

  1. (mathematics) integral (relating to integration)

Further reading edit

  • integral”, in FGJSH: Fjalor i gjuhës shqipe [Dictionary of the Albanian language] (in Albanian), 2006
  • “integral”, in FGJSSH: Fjalor i gjuhës së sotme shqipe [Dictionary of the modern Albanian language]‎[1] (in Albanian), 1980

Catalan edit

Etymology edit

Borrowed from Medieval Latin integrālis, from Latin integer.

Pronunciation edit

Adjective edit

integral m or f (masculine and feminine plural integrals)

  1. integral
  2. (of bread, etc.) wholegrain, wholemeal

Related terms edit

Noun edit

integral f (plural integrals)

  1. (mathematics) integral

Derived terms edit

Further reading edit

Middle French edit

Etymology edit

Borrowed from Medieval Latin integrālis, from Latin integer.

Adjective edit

integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)

  1. integral, necessary to the function of the whole
  2. whole; entire

Descendants edit

  • French: intégral

References edit

  • integral on Dictionnaire du Moyen Français (1330–1500) (in French)

Portuguese edit

Etymology edit

Borrowed from Medieval Latin integrālis, from Latin integer (entire; untouched).

Pronunciation edit

 
  • (Portugal) IPA(key): /ĩ.tɨˈɡɾal/ [ĩ.tɨˈɣɾaɫ]
    • (Southern Portugal) IPA(key): /ĩ.tɨˈɡɾa.li/ [ĩ.tɨˈɣɾa.li]

  • Rhymes: -al, -aw
  • Hyphenation: in‧te‧gral

Adjective edit

integral m or f (plural integrais)

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

Quotations edit

For quotations using this term, see Citations:integral.

Synonyms edit

Derived terms edit

Noun edit

integral f or m (plural integrais)

  1. (mathematics) integral (limits of sums)
  2. (mathematics) antiderivative
    Synonym: antiderivada

Quotations edit

For quotations using this term, see Citations:integral.

Related terms edit

Further reading edit

Romanian edit

Etymology edit

Borrowed from French intégral, Medieval Latin integrālis.

Pronunciation edit

Adjective edit

integral m or n (feminine singular integrală, masculine plural integrali, feminine and neuter plural integrale)

  1. integral
    Synonyms: întreg, complet

Declension edit

Related terms edit

Spanish edit

Etymology edit

Borrowed from Medieval Latin integrālis, from Latin integer (entire).

Pronunciation edit

  • IPA(key): /inteˈɡɾal/ [ĩn̪.t̪eˈɣ̞ɾal]
  • Audio (Colombia):(file)
  • Rhymes: -al
  • Syllabification: in‧te‧gral

Adjective edit

integral m or f (masculine and feminine plural integrales)

  1. integral
  2. whole
  3. brown (rice)
  4. wholegrain

Derived terms edit

Related terms edit

Noun edit

integral f (plural integrales)

  1. (mathematics) integral

Further reading edit

Swedish edit

Etymology edit

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

Pronunciation edit

Noun edit

integral c

  1. (mathematics) integral

Declension edit

Declension of integral 
Singular Plural
Indefinite Definite Indefinite Definite
Nominative integral integralen integraler integralerna
Genitive integrals integralens integralers integralernas

Anagrams edit

Tagalog edit

Etymology edit

Borrowed from Spanish integral.

Pronunciation edit

  • Hyphenation: in‧teg‧ral
  • IPA(key): /ʔinteɡˈɾal/, [ʔɪn.tɛɡˈɾal]

Adjective edit

integrál (Baybayin spelling ᜁᜈ᜔ᜆᜒᜄ᜔ᜇᜎ᜔)

  1. integral
    Synonyms: buo, kompleto

Related terms edit

Turkish edit

Etymology edit

Borrowed from French intégral.

Pronunciation edit

Noun edit

integral (definite accusative integrali, plural integraller)

  1. (mathematics) integral
     

Declension edit

Inflection
Nominative integral
Definite accusative integrali
Singular Plural
Nominative integral integraller
Definite accusative integrali integralleri
Dative integrale integrallere
Locative integralde integrallerde
Ablative integralden integrallerden
Genitive integralin integrallerin
Possessive forms
Nominative
Singular Plural
1st singular integralim integrallerim
2nd singular integralin integrallerin
3rd singular integrali integralleri
1st plural integralimiz integrallerimiz
2nd plural integraliniz integralleriniz
3rd plural integralleri integralleri
Definite accusative
Singular Plural
1st singular integralimi integrallerimi
2nd singular integralini integrallerini
3rd singular integralini integrallerini
1st plural integralimizi integrallerimizi
2nd plural integralinizi integrallerinizi
3rd plural integrallerini integrallerini
Dative
Singular Plural
1st singular integralime integrallerime
2nd singular integraline integrallerine
3rd singular integraline integrallerine
1st plural integralimize integrallerimize
2nd plural integralinize integrallerinize
3rd plural integrallerine integrallerine
Locative
Singular Plural
1st singular integralimde integrallerimde
2nd singular integralinde integrallerinde
3rd singular integralinde integrallerinde
1st plural integralimizde integrallerimizde
2nd plural integralinizde integrallerinizde
3rd plural integrallerinde integrallerinde
Ablative
Singular Plural
1st singular integralimden integrallerimden
2nd singular integralinden integrallerinden
3rd singular integralinden integrallerinden
1st plural integralimizden integrallerimizden
2nd plural integralinizden integrallerinizden
3rd plural integrallerinden integrallerinden
Genitive
Singular Plural
1st singular integralimin integrallerimin
2nd singular integralinin integrallerinin
3rd singular integralinin integrallerinin
1st plural integralimizin integrallerimizin
2nd plural integralinizin integrallerinizin
3rd plural integrallerinin integrallerinin