integral
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integral¹
- /ˈɪntɪɡr(ə)l/ UK
- /ɪnˈtɛɡr(ə)l/ UK
- /ˈɪntəɡɹəl/ US
- /ɪnˈtɛɡɹəl/ US
- /ˈɪntɪɡɹ(ə)l/ UK
- /ˈɪntəɡɹəl/ US
- /ɪnˈtɛɡɹəl/ US
Where it comes from
Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.
adjective more integral · most integral
-
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.
Similar: immanent, inherent, necessary, built-in, essential, inborn, resident, inbuilt, infused, ingrained, integral, intrinsic
- Of, pertaining to, or being an integer.
- Relating to integration (“the process of finding the integral [noun] of a function”).
- Being the root of some monic polynomial in A.
- Whole; undamaged. A local motion keepeth bodies integral.
noun integrals
- 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. The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!
- Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
- 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. The integral of #92;frac#123;1#125;#123;x#125; on #91;#92;frac#123;1#125;#123;2#125;,1#93; is #92;ln(2), but the integral of the same function on (0,1#93; diverges. In notation, #92;int#95;#92;frac#123;1#125;#123;2#125;¹#92;frac#123;1#125;#123;x#125;dx#61;#92;ln(2), but #92;int#95;0¹#92;frac#123;1#1
-
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;
The integral of x² is #92;frac#123;x³#125;#123;3#125; plus a constant.
Similar: antiderivative, indefinite integral, mul:∫ · Opposite: derivative
-
The fluent of a given fluxion in Newtonian calculus.
Similar: antiderivative, indefinite integral, mul:∫ · Opposite: derivative
INTEGRAL²
proper noun
- Abbreviation of International Gamma-Ray Astrophysics Laboratory (a satellite of the European Space Agency).
Thesaurus
Closest in meaning: built-in, inbuilt, intrinsical, intrinsic, constitutional, inherent, entire, whole, intact, constituent, integrative, interrelated, integrated, unified, composite, consolidated
Translations
Every language
adj constituting a whole together with other parts or factors; not omittable or removable
| Español | integral |
|---|---|
| 中文 | 完整的 wánzhěng de |
| हिन्दी | समाकलन samāklan |
| Português | integral |
| Deutsch | integral, ein Ganzes ausmachend, zur Erhaltung des Ganzen unentbehrlich |
| Ελληνικά | αναπόσπαστος anapóspastos |
| Română | integral |
| Русский | неотъе́млемый neotʺjémlemyj, недели́мый nedelímyj, неотдели́мый neotdelímyj |
| עברית | אִינְטֶגְרָלִי integráli |
adj math: of, pertaining to, or being an integer
| Español | entero |
|---|---|
| हिन्दी | समाकलन samāklan |
| Português | inteiro |
| Français | entier |
| Deutsch | ganzzahlig |
| Ελληνικά | ακέραιος akéraios |
| Română | integral |
| Русский | целочи́сленный celočíslennyj |
| العربية | صَحِيح ṣaḥīḥ |
adj math: relating to integration
| Español | integral |
|---|---|
| हिन्दी | समाकलन samāklan |
| Français | intégral |
| Tiếng Việt | tích phân |
| العربية | تَكَامُلِيّ takāmuliyy |
noun limit of sums
| Español | integral |
|---|---|
| 한국어 | 적분 jeokbun |
| 日本語 | 積分 sekibun |
| 中文 | 積分 /积分 jī fēn |
| Português | integral |
| Français | intégrale |
| Deutsch | Integral |
| Italiano | integrale |
| Ελληνικά | ολοκλήρωμα oloklíroma |
| Română | integrală |
| Русский | интегра́л intɛgrál |
| Tiếng Việt | tích phân |
| العربية | تَكَامُل takāmul |
| עברית | אִינְטֶגְרָל integrál, אַסְכֶּמֶת askémet |
Talk about this word "integral." Wiktionary, via Micwyn, micwyn.com/word/integral. Accessed 6 Nov. 2026. integral. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/integral "integral." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/integral.Cite this
@misc{integral_2026,
title = {integral},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/integral},
urldate = {2026-11-06}
}
