Integral

English

Etymology

Template:Bor+, from Template:Der, from Template:Der; see integer.

Pronunciation

• Noun
• Template:EnPR, Template:IPA
• Template:EnPR, Template:IPA
• Template:Audio
• Adjective
• Template:IPA
• Template:EnPR, Template:IPA
• Template:Audio

Adjective

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

   Template:Syn

   • Template:RQ:South Twelve Sermons
2. Template:Lb Of, pertaining to, or being an integer.
3. Template:Lb Relating to Template:L.
4. Template:Lb Being the root of some monic polynomial in $A$.

   Template:Coordinate terms

5. Template:Lb Whole; undamaged.
   • Template:RQ:Bacon Sylva Sylvarum

Translations

• Bashkir: Template:T
• Bulgarian: Template:T+, Template:T+
• Chinese:

  Cantonese: Template:T

  Mandarin: Template:T

• Czech: Template:T
• Dutch: Template:T+
• Esperanto: Template:T+
• Finnish: Template:T+, Template:T
• Galician: Template:T
• German: Template:T+, Template:T, Template:T Template:Qualifier
• Greek: Template:T+
• Hebrew: Template:T+
• Kazakh: Template:T, Template:T
• Khmer: Template:T
• Manx: Template:T
• Persian: Template:T-needed
• Polish: Template:T+, Template:T+
• Portuguese: Template:T+
• Romanian: Template:T+
• Russian: Template:T+, Template:T+, Template:T+
• Swedish: Template:T+, Template:T+

• Arabic: Template:T+
• Bashkir: Template:T
• Czech: Template:T
• Dutch: Template:T+
• Esperanto: Template:T
• Finnish: Template:T+
• French: Template:T+
• German: Template:T+
• Greek: Template:T+
• Kazakh: Template:T, Template:T
• Manx: Template:T
• Portuguese: Template:T+
• Romanian: Template:T+
• Russian: Template:T+
• Spanish: Template:T+
• Swedish: compounds with Template:T+
• Tagalog: Template:T

• Bulgarian: Template:T+
• Esperanto: Template:T
• Finnish: Template:T+
• French: Template:T+
• Galician: Template:T
• Kazakh: Template:T, Template:T
• Spanish: Template:T+

• Hungarian: Template:T+check (2)
• Manx: Template:T-check

Noun

1. Template:Lb One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.

   Template:Ux

   1. Template:Lb Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
2. Template:Lb A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.

   Template:Ux

   Template:Ux

3. Template:Lb An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;

   Template:Syn

   Template:Ant

   Template:Ux

   1. Template:Lb The fluent of a given fluxion in Newtonian calculus.

Translations

• Armenian: Template:T+
• Belarusian: Template:T
• Bulgarian: Template:T
• Catalan: Template:T+
• Chinese:

  Cantonese: Template:T

  Hakka: Template:T

  Mandarin: Template:T+

• Czech: Template:T+
• Dutch: Template:T+
• Esperanto: Template:T+, Template:T
• Finnish: Template:T+
• French: Template:T+
• Galician: Template:T
• Georgian: Template:T
• German: Template:T+
• Greek: Template:T+
• Hebrew: Template:T+, Template:T+ Template:Qualifier
• Hungarian: Template:T+
• Icelandic: Template:T, Template:T
• Italian: Template:T+
• Japanese: Template:T+
• Kazakh: Template:T
• Khmer: Template:T+
• Korean: Template:T+
• Kyrgyz: Template:T
• Malay: Template:T
• Manx: Template:T
• Mongolian: Template:T+
• Norwegian: Template:T
• Polish: Template:T+, Template:T+
• Portuguese: Template:T+
• Romanian: Template:T+
• Russian: Template:T+
• Serbo-Croatian:

  Cyrillic: Template:T

  Roman: Template:T+

• Spanish: Template:T+
• Sundanese: Template:T
• Swedish: Template:T+
• Tagalog: Template:T
• Thai: Template:T
• Turkish: Template:T+
• Ukrainian: Template:T+
• Vietnamese: Template:T+

Anagrams

• Template:Anagrams

Albanian

Noun

1. Template:Lb integral (relating to integration)

Further reading

• Template:R:sq:Fjalorthi
• Template:R:FGSS

Catalan

Etymology

Template:Bor+, from Template:Der.

Pronunciation

• Template:Ca-IPA

Adjective

1. Template:L
2. Template:Gloss wholegrain, wholemeal

Noun

1. Template:Lb Template:L

Derived terms

• Template:L

Further reading

• Template:R:ca:IEC2

Indonesian

Etymology

Template:Bor+, from Template:Der, from Template:Der, from Template:Der.

Adjective

1. Template:L:
   1. constituting a whole together with other parts or factors; not omittable or removable

      Template:Syn

   2. Template:Lb relating to integration (“the process of finding the integral [noun] of a function”)

Noun

1. Template:Lb Template:L

Further reading

• Template:R:KBBI Daring

Middle French

Etymology

Borrowed from Template:Bor, from Template:Der.

Adjective

1. Template:L, necessary to the function of the whole
2. whole; entire

Descendants

• Template:Desc

References

• Template:R:DMF

Portuguese

Etymology

Borrowed from Template:Bor, from Template:Der.

Pronunciation

• Template:Rhymes
• Template:Hyphenation

Adjective

1. Template:L; whole; entire
2. Template:Lb whole Template:Gloss

Synonyms

• Template:Sense Template:L, Template:L, Template:L, Template:L, Template:L

Derived terms

• Template:L

Noun

1. Template:Lb Template:L Template:Gloss
2. Template:Lb antiderivative

   Template:Syn

Further reading

• Template:R:pt:Priberam

Romanian

Etymology

Template:Bor+, Template:Bor.

Pronunciation

• Template:IPA

Adjective

1. Template:L

   Template:Syn

Related terms

• Template:L

Spanish

Etymology

Template:Bor+, from Template:Der.

Adjective

1. Template:L
2. whole
3. brown Template:Q
4. wholegrain

Noun

1. Template:Lb Template:L

Further reading

• Template:R:es:DRAE

Swedish

Pronunciation

• Template:IPA
• Template:Hyph
• Template:Rhymes

Noun

1. Template:Lb an Template:L

Related terms

• Template:L
• Template:L
• Template:L

References

• Template:R:svenska.se
• Template:R:svenska.se
• Template:R:svenska.se

Anagrams

• Template:Anagrams

Tagalog

Etymology

Template:Bor+.

Adjective

1. Template:L

   Template:Syn

Turkish

Etymology

Template:Bor+.

Pronunciation

• Template:IPA

Noun

1. Template:Lb Template:L

   $\underset{a}{\overset{b}{\int }}f(x)dx$