different between antiderivative vs integral

English

Etymology

anti- +? derivative

Noun

antiderivative (plural antiderivatives)

1. (calculus) A function whose derivative is a given function; an indefinite integral

   Synonyms: primitive, integral

Translations

English

Etymology

Borrowed from Middle French integral, from Medieval Latin integr?lis, from Latin integer (“entire”); see integer.

Pronunciation

• Noun
• (UK) enPR: ?n?t?-gr?l, IPA^(key): /??nt????l/
• (US) enPR: ?n?t?-gr?l, IPA^(key): /??nt????l/
• Adjective

Dictionaries give the same pronunciation as for the noun, but the adjective is often pronounced with the accent on the second syllable:

• (UK, US) enPR: ?n-t?g?r?l, IPA^(key): /?n?t????l/

Adjective

integral (comparative more integral, superlative most integral)

1. Constituting a whole together with other parts or factors; not omittable or removable

   • Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.

   Synonyms: immanent, inherent, necessary; see also Thesaurus:intrinsic

2. (mathematics) Of, pertaining to, or being an integer.
3. (mathematics) Relating to integration.
4. (obsolete) Whole; undamaged.

Derived terms

Related terms

• integer
• integrity
• integrous (very rare)

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.

2. (mathematics) A definite integral, a limit of sums.
3. (mathematics) Antiderivative

   Synonyms: antiderivative, indefinite integral, ?

   Antonym: derivative

Derived terms

Related terms

• integer

Translations

Anagrams

• Triangle, alerting, altering, relating, tanglier, teraglin, triangle

Catalan

Etymology

Borrowed from Medieval Latin integr?lis, from Latin integer.

Adjective

integral (masculine and feminine plural integrals)

1. integral

Middle French

Etymology

Borrowed from Medieval Latin integr?lis, 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

• French: intégral

References

• integral on Dictionnaire du Moyen Français (1330–1500) (in French)

Portuguese

Etymology

Borrowed from Medieval Latin integr?lis, from Latin integer (“entire; untouched”).

Pronunciation

• (Brazil) IPA^(key): /??.t?e.???aw/
• Hyphenation: in?te?gral

Adjective

integral m or f (plural integrais, comparable)

1. integral; whole; entire
2. (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 (in variation) (plural integrais)

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

   Synonym: antiderivada

Quotations

For quotations using this term, see Citations:integral.

Related terms

Further reading

• “integral” in Dicionário Priberam da Língua Portuguesa.

Romanian

Etymology

Borrowed from French intégral, Medieval Latin integr?lis.

Pronunciation

• IPA^(key): /in.te??ral/

Adjective

integral m or n (feminine singular integral?, masculine plural integrali, feminine and neuter plural integrale)

1. integral

   Synonyms: întreg, complet

Declension

Related terms

• integru

Spanish

Etymology

Borrowed from Medieval Latin integr?lis, from Latin integer (“entire”).

Pronunciation

• IPA^(key): /inte???al/, [?n?.t?e????al]

Adjective

integral (plural integrales)

1. integral
2. whole
3. brown (rice)
4. wholegrain

Derived terms

Related terms

• íntegro

Noun

integral f (plural integrales)|integrales

1. (mathematics) integral

Further reading

• “integral” in Diccionario de la lengua española, Vigésima tercera edición, Real Academia Española, 2014.

Swedish

Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

Pronunciation

• IPA^(key): /?nt???ra?l/

Noun

integral c

1. (mathematics) integral

Declension

Anagrams

• triangel

Turkish

Etymology

Borrowed from French intégral.

Pronunciation

• IPA^(key): [in.t??.??al?]

Noun

integral (definite accusative integrali, plural integraller)

1. (mathematics) integral

   ${\displaystyle \int _{a}^{b}\!f(x)\,dx\,}$

Declension