integral
English
Etymology
Borrowed from Middle French integral, from Medieval Latin integralis, from Latin integer (“entire”); see integer.
Pronunciation
- Noun
- (UK) enPR: ĭnʹtĭ-grəl, IPA(key): /ˈɪntɪɡɹəl/
- (US) enPR: ĭnʹtə-grəl, IPA(key): /ˈɪntəɡɹəl/
Audio (UK) (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
integral (comparative more integral, superlative most integral)
- 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.
- South
- (mathematics) Of, pertaining to, or being an integer.
- (mathematics) Relating to integration.
- (obsolete) Whole; undamaged.
- Francis Bacon
- A local motion keepeth bodies integral.
- Francis Bacon
Synonyms
- (constituting a whole): immanent, inherent, necessary; See also See also Thesaurus:intrinsic
Derived terms
- integral brick
- integral closure
- integral cosmology
- integral cuboid
- integral current
- integral curvature
- integral curve
- integral domain
- integral drawing
- integral ecology
- integral element
- integral energy
- integral extension
- integral fast reactor
- integral field unit
- integral function
- integral geometry
- integral graph
- integral homology group
- integral kernel
- integral membrane protein
- integral politics
- integral polygedron
- integral polynomial
- integral post-metaphysics
- integral psychology
- integral transformative practice
- integral yoga
- integrity
Related terms
Translations
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- 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 Wiktionary:Entry layout#Translations.
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Noun
integral (plural integrals)
- (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 on is .
- (mathematics) Antiderivative
- The integral of is plus a constant.
Synonyms
- (limit of sums): definite integral ∫
- (antiderivative): antiderivative, indefinite integral, ∫
Antonyms
- (antiderivative): derivative
Derived terms
- definite integral
- half-integral
- improper integral
- indefinite integral
- integral calculus
- integral equation
- integral theory
- integral transform
- integration
- Riemann integral
- Riemann-Stieltjes integral
- Lebesgue integral
Related terms
Translations
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Catalan
Etymology
Borrowed from Medieval Latin integralis, from Latin integer.
Middle French
Etymology
Borrowed from Medieval Latin integralis, from Latin integer.
Adjective
integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)
Descendants
- French: intégral
Portuguese
Etymology
Borrowed from Medieval Latin integralis, from Latin integer (“entire; untouched”).
Pronunciation
- (Brazil) IPA(key): /ˌĩ.t̪e.ˈɡɾaw/
- Hyphenation: in‧te‧gral
Adjective
integral m or f (plural integrais, comparable)
Quotations
For quotations of use of this term, see Citations:integral.
Noun
integral f (plural integrais)
- (mathematics) integral (limits of sums)
- (mathematics) antiderivative
Quotations
For quotations of use of this term, see Citations:integral.
Synonyms
- (antiderivative): antiderivada
Romanian
Etymology
Borrowed from French intégral, Medieval Latin integralis.
Pronunciation
- IPA(key): /in.teˈɡral/
Adjective
integral m or n (feminine singular integrală, masculine plural integrali, feminine and neuter plural integrale)
Declension
singular | plural | ||||||
---|---|---|---|---|---|---|---|
masculine | neuter | feminine | masculine | neuter | feminine | ||
nominative/ accusative |
indefinite | integral | integrală | integrali | integrale | ||
definite | integralul | integrala | integralii | integralele | |||
genitive/ dative |
indefinite | integral | integrale | integrali | integrale | ||
definite | integralului | integralei | integralilor | integralelor |
Spanish
Etymology
Borrowed from Medieval Latin integralis, from Latin integer (“entire”).
Pronunciation
- IPA(key): /inteˈɡɾal/, [ĩn̪t̪eˈɣɾal]
Related terms
Further reading
- “integral” in Diccionario de la lengua española, Vigésima tercera edición, Real Academia Española, 2014.
Swedish
Pronunciation
- IPA(key): /ɪntɛˈɡraːl/
Declension
Declension of integral | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | integral | integralen | integraler | integralerna |
Genitive | integrals | integralens | integralers | integralernas |
Turkish
Pronunciation
- IPA(key): [in.tɛɟ.ˈɾal]
Declension
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 | ||||||||||||||||||||||||
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