English Online Dictionary. What means integral? What does integral mean?
English
Etymology
Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.
Pronunciation
- Noun
- (UK) enPR: ĭnʹtĭ-grəl, IPA(key): /ˈɪntɪɡɹ(ə)l/
- (US) enPR: ĭnʹtə-grəl, IPA(key): /ˈɪntəɡɹəl/, /ɪnˈtɛɡɹəl/
- Adjective
- (UK) IPA(key): /ˈɪntɪɡr(ə)l/, /ɪnˈtɛɡr(ə)l/
- (US) enPR: ĭn-tĕgʹrəl, IPA(key): /ˈɪntəɡɹəl/, /ɪnˈtɛɡɹəl/
Adjective
integral (comparative more integral, superlative most integral)
- Constituting a whole together with other parts or factors; not omittable or removable
- Synonyms: immanent, inherent, necessary; see also Thesaurus:intrinsic
- (mathematics) Of, pertaining to, or being an integer.
- (mathematics) Relating to integration (“the process of finding the integral [noun] of a function”).
- (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
- (obsolete) Whole; undamaged.
Derived terms
Related terms
Translations
Noun
integral (plural integrals)
- (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.
- (specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- (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.
- (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;
- Synonyms: antiderivative, indefinite integral, ∫
- Antonym: derivative
- (mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus.
Derived terms
Related terms
Translations
Anagrams
- Triangle, alerting, altering, relating, tanglier, teraglin, triangle
Albanian
Noun
integral m
- (mathematics) integral (relating to integration)
Further reading
- “integral”, in FGJSH: Fjalor i gjuhës shqipe [Dictionary of the Albanian language] (in Albanian), 2006
- FGJSSH: Fjalor i gjuhës së sotme shqipe [Dictionary of the modern Albanian language][1], 1980
Catalan
Etymology
Borrowed from Medieval Latin integrālis, from Latin integer.
Pronunciation
- IPA(key): (Central, Balearic) [in.təˈɣɾal]
- IPA(key): (Valencia) [in.teˈɣɾal]
Adjective
integral m or f (masculine and feminine plural integrals)
- integral
- (of bread, etc.) wholegrain, wholemeal
Related terms
Noun
integral f (plural integrals)
- (mathematics) integral
Derived terms
- integral indefinida
Further reading
- “integral” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.
Indonesian
Etymology
Borrowed from Dutch integraal (“integral”), from French intégral, from Medieval Latin integrālis, from Latin integer (“entire”).
Pronunciation
- (Standard Indonesian) IPA(key): /intəɡˈral/ [in.t̪ək̚ˈral]
- Rhymes: -al
- Syllabification: in‧teg‧ral
Adjective
intêgral
- integral:
- constituting a whole together with other parts or factors; not omittable or removable
- Synonyms: bulat, utuh, sempurna
- (mathematics) relating to integration (“the process of finding the integral [noun] of a function”)
- constituting a whole together with other parts or factors; not omittable or removable
Noun
intêgral (plural integral-integral)
- (mathematics) integral
Related terms
Further reading
- “integral” in Kamus Besar Bahasa Indonesia, Jakarta: Agency for Language Development and Cultivation – Ministry of Education, Culture, Research, and Technology of the Republic of Indonesia, 2016.
Middle French
Etymology
Borrowed from Medieval Latin integrālis, from Latin integer.
Adjective
integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)
- integral, necessary to the function of the whole
- whole; entire
Descendants
- French: intégral
References
- integral on Dictionnaire du Moyen Français (1330–1500) (in French)
Portuguese
Etymology
Borrowed from Medieval Latin integrālis, from Latin integer (“entire; untouched”).
Pronunciation
- Rhymes: -al, -aw
- Hyphenation: in‧te‧gral
Adjective
integral m or f (plural integrais)
- integral; whole; entire
- (of food) whole (from which none of its constituents has been removed)
Quotations
For quotations using this term, see Citations:integral.
Synonyms
- (whole): completo, íntegro, inteiro, intacto, total
Derived terms
- integralmente
Noun
integral f or m (plural integrais)
- (mathematics) integral (limits of sums)
- (mathematics) antiderivative
- Synonym: antiderivada
Quotations
For quotations using this term, see Citations:integral.
Related terms
Further reading
- “integral”, in Dicionário Priberam da Língua Portuguesa (in Portuguese), Lisbon: Priberam, 2008–2025
Romanian
Etymology
Borrowed from French intégral, Medieval Latin integrālis.
Pronunciation
- IPA(key): /in.teˈɡral/
Adjective
integral m or n (feminine singular integrală, masculine plural integrali, feminine and neuter plural integrale)
- integral
- Synonyms: întreg, complet
Declension
Related terms
- integru
Spanish
Etymology
Borrowed from Medieval Latin integrālis, from Latin integer (“entire”).
Pronunciation
- IPA(key): /inteˈɡɾal/ [ĩn̪.t̪eˈɣ̞ɾal]
- Rhymes: -al
- Syllabification: in‧te‧gral
Adjective
integral m or f (masculine and feminine plural integrales)
- integral
- whole
- brown (rice)
- wholegrain
Derived terms
Related terms
Noun
integral f (plural integrales)
- (mathematics) integral
Further reading
- “integral”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8, Royal Spanish Academy [Spanish: Real Academia Española], 2024 December 10
Swedish
Etymology
(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)
Pronunciation
- IPA(key): /ɪntɛˈɡrɑːl/
- Hyphenation: in‧te‧gral
- Rhymes: -ɑːl
Noun
integral c
- (mathematics) an integral
Declension
Related terms
- integrand
- integration
- integrera
References
- integral in Svensk ordbok (SO)
- integral in Svenska Akademiens ordlista (SAOL)
- integral in Svenska Akademiens ordbok (SAOB)
Anagrams
- triangel
Tagalog
Etymology
Borrowed from Spanish integral.
Pronunciation
- (Standard Tagalog) IPA(key): /ʔinteɡˈɾal/ [ʔɪn̪.t̪ɛɡˈɾal]
- Rhymes: -al
- Syllabification: in‧teg‧ral
Adjective
integrál (Baybayin spelling ᜁᜈ᜔ᜆᜒᜄ᜔ᜇᜎ᜔)
- integral
- Synonyms: buo, kompleto
Related terms
Turkish
Etymology
Borrowed from French intégral.
Pronunciation
- IPA(key): [in.tɛɟ.ˈɾalʲ]
Noun
integral (definite accusative integrali, plural integraller)
- (mathematics) integral