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/
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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
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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Anagrams
Catalan
Etymology
Borrowed from Medieval Latin integralis, from Latin integer.
Adjective
integral (masculine and feminine plural integrals)
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
References
- integral on Dictionnaire du Moyen Français (1330-1500) (in French)
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, f (plural integrais, comparable)
Quotations
For quotations of use of this term, see Citations:integral.
Synonyms
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
Related terms
Romanian
Etymology
Borrowed from French intégral, Medieval Latin integralis.
Pronunciation
- IPA(key): /in.teˈɡral/
Adjective
integral m, 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 | |||
Synonyms
Related terms
Spanish
Etymology
Borrowed from Medieval Latin integralis, from Latin integer (“entire”).
Pronunciation
- IPA(key): /inteˈɡɾal/, [ĩn̪t̪eˈɣɾal]
Adjective
integral (plural integrales)
- integral
- whole
- brown (rice)
- wholegrain
Related terms
Noun
integral f (plural integrales)
Further reading
- “integral” in Diccionario de la lengua española, Vigésima tercera edición, Real Academia Española, 2014.
Swedish
Noun
integral c
Declension
| Declension of integral | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | integral | integralen | integraler | integralerna |
| Genitive | integrals | integralens | integralers | integralernas |
Turkish
Etymology
Pronunciation
- IPA(key): [in.tɛɟ.ˈɾal]
Noun
integral (definite accusative integrali, plural integraller)
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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