Definify.com

Webster 1913 Edition


Integral

In′te-gral

,
Adj.
[Cf. F.
intégral
. See
Integer
.]
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
calculus
.
Integral 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.
Whole; entire.
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.
A whole; an entire thing.

Definition 2024


Integral

Integral

German

Alternative forms

Noun

Integral n (genitive Integrals, plural Integrale)

  1. integral (notion in mathematics)

Declension

Derived terms

  • Integralkern
  • Integraloperator

integral

integral

English

Adjective

integral (comparative more integral, superlative most integral)

  1. 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.
  2. (mathematics) Of, pertaining to, or being an integer.
  3. (mathematics) Relating to integration.
  4. (obsolete) Whole; undamaged.
    • Francis Bacon
      A local motion keepeth bodies integral.

Synonyms

Derived terms

Related terms

Translations

Noun

integral (plural integrals)

  1. (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 .
  2. (mathematics) Antiderivative
    The integral of is plus a constant.

Synonyms

Antonyms

Derived terms

Related terms

Translations

Anagrams


Catalan

Etymology

Borrowing from Medieval Latin integralis, from Latin integer.

Adjective

integral m, f (masculine and feminine plural integrals)

  1. integral

Middle French

Etymology

Borrowing from Medieval Latin integralis, from Latin integer.

Adjective

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

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

Descendants

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)

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

Quotations

For usage examples of this term, see Citations:integral.

Synonyms

Noun

integral f (plural integrais)

  1. (mathematics) integral (limits of sums)
  2. (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)

  1. integral

Synonyms

Declension

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)

  1. integral
  2. whole
  3. brown (rice)
  4. whole-grain

Related terms

Noun

integral f (plural integrales)

  1. (mathematics) integral

Swedish

Noun

integral c

  1. (mathematics) integral

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)

  1. (mathematics) integral

Declension