Definify.com
Webster 1913 Edition
Integral
1.
Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
A local motion keepeth bodies
integral
. Bacon.
2.
Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
Ceasing to do evil, and doing good, are the two great
integral
parts that complete this duty. South.
3.
(Math.)
(a)
Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
(b)
Pertaining to, or proceeding by, integration;
as, the
. integral
calculusIntegral calculus
. See under
Calculus
.In′te-gral
,Noun.
1.
A whole; an entire thing; a whole number; an individual.
2.
(Math.)
An expression which, being differentiated, will produce a given differential. See differential
Differential
, and Integration
. Cf. Fluent
. Elliptic integral
, one of an important class of integrals, occurring in the higher mathematics; – so called because one of the integrals expresses the length of an arc of an ellipse.
Webster 1828 Edition
Integral
IN'TEGRAL
,Adj.
A local motion keepeth bodies integral.
1.
Making part of a whole, or necessary to make a whole.2.
Not fractional.3.
Uninjured; complete; not defective.IN'TEGRAL
,Noun.
Definition 2024
Integral
Integral
integral
integral
English
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
terms derived from integral (adjective)
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Related terms
Translations
constituting a whole together with other parts or factors; not omittable or removable
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math: of, pertaining to, or being an integer
math: relating to integration
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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.
![[0,1]](https://definify.com/images_main/738f7d23bb2d9642bab520020873cccbef49768d.svg)
Synonyms
- (limit of sums): definite integral ∫
- (antiderivative): antiderivative, indefinite integral, ∫
Antonyms
- (antiderivative): derivative
Derived terms
terms derived from integral (noun)
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Related terms
Translations
limit of sums
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antiderivative — see antiderivative
Anagrams
Catalan
Etymology
Borrowing from Medieval Latin integralis, from Latin integer.
Adjective
integral m, f (masculine and feminine plural integrals)
Middle French
Etymology
Borrowing 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
Borrowing 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 usage examples of this term, see Citations:integral.
Synonyms
Noun
integral f (plural integrais)
- (mathematics) integral (limits of sums)
- (mathematics) antiderivative
Quotations
For usage examples of this term, see Citations:integral.
Synonyms
- (antiderivative): antiderivada
Related terms
Romanian
Etymology
Borrowing from French intégral, Medieval Latin integralis.
Pronunciation
- IPA(key): /in.teˈgral/
Adjective
integral m, n (feminine singular integrală, masculine plural integrali, feminine and neuter plural integrale)
Synonyms
Declension
declension of integral
| 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 | |||
Related terms
Spanish
Etymology
Borrowing from Medieval Latin integralis, from Latin integer (“entire”).
Pronunciation
- IPA(key): /in.te.ˈɣɾal/
Adjective
integral m, f (plural integrales)
Related terms
Noun
integral f (plural integrales)
Swedish
Noun
integral c
Declension
| Inflection of integral | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | integral | integralen | integraler | integralerna |
| Genitive | integrals | integralens | integralers | integralernas |
Turkish
Etymology
Borrowing from French intégral.
Pronunciation
- IPA(key): [in.tɛɟ.ˈɾal]
Noun
integral (definite accusative integrali, plural integraller)
Declension
declension of integral
| singular (tekil) | plural (çoğul) | |
|---|---|---|
| nominative (yalın) | integral | integraller |
| definite accusative (belirtme) | integrali | integralleri |
| dative (yönelme) | integrale | integrallere |
| locative (bulunma) | integralde | integrallerde |
| ablative (ayrılma) | integralden | integrallerden |
| genitive (tamlayan) | integralin | integrallerin |
possessive forms of integral
| benim (my) | singular (tekil) | plural (çoğul) |
|---|---|---|
| nominative (yalın) | integralim | integrallerim |
| definite accusative (belirtme) | integralimi | integrallerimi |
| dative (yönelme) | integralime | integrallerime |
| locative (bulunma) | integralimde | integrallerimde |
| ablative (çıkma) | integralimden | integrallerimden |
| genitive (tamlayan) | integralimin | integrallerimin |
| senin (your) | singular (tekil) | plural (çoğul) |
| nominative (yalın) | integralin | integrallerin |
| definite accusative (belirtme) | integralini | integrallerini |
| dative (yönelme) | integraline | integrallerine |
| locative (bulunma) | integralinde | integrallerinde |
| ablative (çıkma) | integralinden | integrallerinden |
| genitive (tamlayan) | integralinin | integrallerinin |
| onun (her/his/its) | singular (tekil) | plural (çoğul) |
| nominative (yalın) | integrali | integralleri |
| definite accusative (belirtme) | integralini | integrallerini |
| dative (yönelme) | integraline | integrallerine |
| locative (bulunma) | integralinde | integrallerinde |
| ablative (çıkma) | integralinden | integrallerinden |
| genitive (tamlayan) | integralinin | integrallerinin |
| bizim (our) | singular (tekil) | plural (çoğul) |
| nominative (yalın) | integralimiz | integrallerimiz |
| definite accusative (belirtme) | integralimizi | integrallerimizi |
| dative (yönelme) | integralimize | integrallerimize |
| locative (bulunma) | integralimizde | integrallerimizde |
| ablative (çıkma) | integralimizden | integrallerimizden |
| genitive (tamlayan) | integralimizin | integrallerimizin |
| sizin (your) | singular (tekil) | plural (çoğul) |
| nominative (yalın) | integraliniz | integralleriniz |
| definite accusative (belirtme) | integralinizi | integrallerinizi |
| dative (yönelme) | integralinize | integrallerinize |
| locative (bulunma) | integralinizde | integrallerinizde |
| ablative (çıkma) | integralinizden | integrallerinizden |
| genitive (tamlayan) | integralinizin | integrallerinizin |
| onların (their) | singular (tekil) | plural (çoğul) |
| nominative (yalın) | integralleri | integralleri |
| definite accusative (belirtme) | integrallerini | integrallerini |
| dative (yönelme) | integrallerine | integrallerine |
| locative (bulunma) | integrallerinde | integrallerinde |
| ablative (çıkma) | integrallerinden | integrallerinden |
| genitive (tamlayan) | integrallerinin | integrallerinin |