integral
/ˈɪntɪɡr(ə)l//ˈɪntəɡɹəl/
integral adjective: constituting a whole together with other parts or factors; not omittable or removable.
Adjective
integral (comparative more integral, superlative 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.1692–1717, Robert South, Twelve Sermons Preached upon Several Occasions, volume (please specify |volume=I to VI), London
- When the verdict comes down, the transformation of the wunderkind founder of Theranos from black-clad genius to besuited milquetoast will be an integral part of the story.2021 December 17, Vanessa Friedman, “The Verdict on the Elizabeth Holmes Trial Makeover”, in The New York Times, →ISSN, archived from the original on 12 Apr 2022
- 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.1627 (indicated as 1626), Francis [Bacon], “(please specify the page, or |century=I to X)”, in Sylua Syluarum: Or A Naturall Historie. In Ten Centuries. […], London: […] William Rawley […]; [p]rinted...
Noun
integral (plural 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...
- Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #92;int#95;S#92;nabla#92;times#92;mathbf#123;F#125;#92;cdotd#92;mathbf#123;S#125;#61;#92;int#95;#123;#92;partialS#125;#92;mathbf#123;F#125;#92;cdotd#92;mathbf#123...
- 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.
- Synonyms:
- antiderivative, indefinite integral
- Antonyms:
- derivative
Proper noun capitalized: INTEGRAL
INTEGRAL
- Abbreviation of International Gamma-Ray Astrophysics Laboratory (a satellite of the European Space Agency).
integral meaning in Hindi, Urdu, Bengali and Punjabi
integral in Hindi
- constituting a whole together with other parts or factors; not omittable or removable
- समाकलन samāklan
- math: of, pertaining to, or being an integer
- समाकलन samāklan
- math: relating to integration
- समाकलन samāklan
integral in Urdu
- انٹیگرل, انٹیگریل
integral in Bengali
- ইন্টিগ্রাল
integral in Punjabi
- ਇੰਟੀਗ੍ਰਲ, ਇੰਟੈਗਰਲ
More languagesFewer languages
- integral in Gujarati
- અભિન્ન
- integral in Nepali
- अभिन्न
- integral in Tagalog
- buumbilangin, lagom
- integral in Arabic
- صَحِيح ṣaḥīḥ, تَكَامُلِيّ takāmuliyy, تَكَامُل takāmul
- integral in Malay
- kamiran
- integral in Thai
- ปริพันธ์ bpà-rí-pan
- integral in Vietnamese
- tích phân
Examples of integral in a sentence
- For any integral domain there can be derived an associated field of fractions.
- Don't forget to m the +C when calculating indefinite integrals.
- Clipping through walls is integral to the game's speedruns.
Synonyms of integral
5 more synonymsFewer synonyms
Antonyms
Forms of integral
| Adjective | |
|---|---|
| comparative | more integral |
| superlative | most integral |
| Noun | |
| plural | integrals |
Origin of integral
Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.
Words formed from integral
- differintegral
- integral brick
- integral closure
- integral cosmology
- integral cuboid
- integral current
- integral curvature
- integral curve
- integral domain
- integral drawing
- integral ecology
- integral element
- integral energy
- integral extension
- integral fast reactor
- integral field unit
- integral function
- integral geometry
- integral graph
- integral homology group
- integralism
- integralist
- integrality
- integral kernel
- integrally
- integral membrane protein
- integralness
- integral number
- integral politics
- integral polygedron
- integral polynomial
- integral post-metaphysics
- integral psychology
- integral transformative practice
- integral yoga
- integraph
- integrity
- nonintegral
- semi-integral
- unintegral
- Barnes integral
- Choquet integral
- contour integral
- definite integral
- double integral
- flux integral
- half-integral
- Hellinger integral
- improper integral
- indefinite integral
- integral calculus
- integral equation
- integral theory
- integral transform
- integration
- iterated integral
- Jackson integral
- Lebesgue integral
- line integral
- logarithmic integral
Phrases with integral
Questions about integral
- What does integral mean?
- Integral means constituting a whole together with other parts or factors; not omittable or removable.
- What is integral in Hindi?
- Integral in Hindi is समाकलन (samāklan). See Integral meaning in Hindi.
- What part of speech is integral?
- Integral can be an adjective, a noun or a proper noun.
- How do you pronounce integral?
- Integral is pronounced /ˈɪntɪɡr(ə)l/ (UK).
Words near integral in the dictionary
Source and license
Adapted from Wiktionary: integral (page history and authors); INTEGRAL (page history and authors); integral (Urdu, IndicTrans2 machine translation) (model and license); integral (Bengali, IndicTrans2 machine translation) (model and license); integral (Punjabi, IndicTrans2 machine translation) (model and license); integral (Gujarati, IndicTrans2 machine translation) (model and license); integral (Nepali, IndicTrans2 machine translation) (model and license). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Pronunciation audio from Wikimedia Commons, each file under its own free license: en-uk-integral-adjective.ogg, LL-Q1860 (eng)-StalJosA-Integral.wav.
Cite this entry: “integral.” Word.ws, https://word.ws/integral. Based on Wiktionary, CC BY-SA 4.0.