Word.ws English Dictionary

How to use integral in a sentence

40 example sentences · adjective, noun

Integral means constituting a whole together with other parts or factors; not omittable or removable. Example: “The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!”

Examples of integral by meaning

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

  • 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...

nounOne of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement...

  • The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!

More sentences with integral

  • For any integral domain there can be derived an associated field of fractions.From the entry integral domain
  • Don't forget to m the +C when calculating indefinite integrals.From the entry indefinite
  • Clipping through walls is integral to the game's speedruns.From the entry clip
  • Is he going to study integrals? Pull the other one, it's got bells on—he can't even do basic multiplication.From the entry pull the other one, it's got bells on
  • Though largely ignored by players, hosel design is integral to the balance, feel and power of a club.From the entry hosel
  • The Lebesgue integral is learned in a first-year real-analysis course.From the entry Lebesgue integral
  • Compute the Lebesgue integral of f over E.From the entry Lebesgue integral
  • There is no known representation of π in closed form: each expression for it includes an integral, an infinite series, or an infinite continued fraction.From the entry closed form
  • It can be proved that a Dedekind domain (as defined above) is equivalent to an integral domain in which every proper fractional ideal is invertible.From the entry Dedekind domain
  • These survival suits are waterproof full-body garments with a hood and integral three-finger gloves and boots.2025 October 21, Rose George, “‘I knew in my head we were dying’: the last voyage of the Scandies Rose”, in The Guardian. From the entry waterproof
  • Harvesting Easter eggs is now integral to our consumption of entertainment.2023 January 13, Nick Haramis, “When Did We All Become Pop Culture Detectives?”, in The New York Times, →ISSN. From the entry fine line
  • Tammy was an integral part of our family who will be missed dearly by everyone at BVM.”2022 October 26, Christina Zdanowicz, Claudia Dominguez, Lauren M. Johnson and Sara Smart, “The Waukesha victims included an 8-year-old…. From the entry tammy
  • Ants are integral components of terrestrial ecosystems, owing to their manifold interactions with other organisms.2022 September 19, Schultheiss et al., “The abundance, biomass, and distribution of ants on Earth”, in Proceedings of the National Academy…. From the entry myrmecophile
  • Sweet, sensitive, and impossibly sassy, V is many fans' bias, and an integral member of the group.2019, Katy Sprinkel, The Big Book of BTS: The Deluxe Unofficial Bangtan Book, unnumbered page. From the entry bias
  • If you're a shorter climber, lockoff strength becomes integral to progressing through the grades.2018, Julie Ellison, Climb to Fitness, page 43. From the entry lockoff
  • Development of Xiong'an New District (XND) is integral to the implementation of the Beijing-Tianjin-Hebei (BTH) Integration Initiative.2017 December 28, Wenhui Kuang, Tianrong Yang, Fengqin Yan, “Examining urban land-cover characteristics and ecological regulation during…. From the entry Xiong'an
  • Men like me feel that untouchability is no integral part of Hinduism.2013 Sep. 13, Dr. Yogendra Yadav, "Present Generation and Mahatma Gandhi, Peace and Collaborative Development Network (retrieved 4 April…. From the entry bar sinister
  • An undulary can be expressed in parametric form using elliptic integrals.2012, Jean Berthier, Kenneth A. Brakke, The Physics of Microdroplets, pages 1-95. From the entry undulary
  • In this process, time is as integral a factor as change of form."2011, P.W. Brown, Homo Luminous: Changing the Channels of Human Awareness, page 45. From the entry neoevolution
  • If R is non-trivial and has no zero divisors, then it is called an integral domain.2009, Victor Shoup, A Computational Introduction to Number Theory and Algebra, 2nd edition, Cambridge University Press, page 171. From the entry zero divisor
  • In most countries, homework has come to be an integral part of the schooling system.2008 September 30, “Editorial: British schools' move towards scrapping homework is a progressive idea”, in Times of India. From the entry do away with
  • They all are integrals over the momentum circulating in the loop, and the integrands are identical.2007, Maurizio Gasperini, Jnan Maharana, String Theory and Fundamental Interactions, page 747. From the entry formfactor
  • A lattice Λ is called an integral lattice if its Gram matrix has coefficients in ℤ.2004, Frédérique Oggier, Emanuele Viterbo, Algebraic Number Theory and Code Design for Rayleigh Fading Channels, Now Publishers Inc, page 17. From the entry coefficient
  • This central repository, called a symbol table, becomes an integral part of the compiler's IR.2004, Keith D. Cooper, Linda Torczon, Engineering a Compiler, Elsevier, →ISBN, page 239. From the entry symbol table
  • Highly oscillating sequences converge in the weak topology, i.e., the topology of convergence of integral means.2002, Eduard Feireisl, “Viscous and/or heat conducting compressible fluids”, in Susan Friedlander, Denis Serre, editors, Handbook of…. From the entry oscillating
  • “So, in this lifetime, will we live to see anything resembling an integral culture?2002, Ken Wilber, “The_Integral_Vision@IC.org”, in Boomeritis: A Novel That Will Set You Free, Boston, Mass.: Shambhala Publications…. From the entry boomerese
  • By taking residues, we can represent this integral in terms of a Jackson integral.2001, Publications of the Research Institute for Mathematical Sciences, page 72. From the entry residue
  • My neurologist and the entire neuro department were an integral part of my hospital family.2000, Melissa Anne Goldstein, Travels with the Wolf: A Story of Chronic Illness, page 47. From the entry neuro
  • Bolstered claims of mustering a simple majority are an integral part of electionspeak.1999, India Today International, volume 24, page 276. From the entry electionspeak
  • The Ecozoic Era can be brought into being only by the integral life community itself.1997, Thomas Berry, “The Ecozoic Era”, in Glenn Adelson et al., editors, Environment: An Interdisciplinary Anthology, Yale University…. From the entry Ecozoic
  • The Jackson integral enjoys several elementary properties of the usual integral.1993, D. B. Fuks, Unconventional Lie Algebras, page 52. From the entry Jackson integral
  • So with many other chores, for cooperative patterns of work form an integral part of productive organization.1983, Steven Hahn, “Bounds of Custom”, in The Roots of Southern Populism: Yeoman Farmers and the Transformation of the Georgia Upcountry…. From the entry logrolling
  • Let R be a subring of a ring R′ which is integral over R.1971, Max D. Larsen, Paul J. McCarthy, Multiplicative Theory of Ideals, Academic Press, page 84. From the entry lie over
  • The lowest frequencies of the integral harmonic series of esophageally phonated vowels are different from each other.1965, Ronald Sherwood Tikofsky, Phonetic Characteristics of Esophageal Speech, page 83. From the entry esophageally
  • The equalising beam ends fit into stirrups cast integral with the Skefko self-aligning roller-bearing axleboxes.1962 December, “The B.R. standard diesel-electric Type 1 locomotive”, in Modern Railways, page 382. From the entry equalising beam
  • The attitudes formed at this early stage of life become integral factors of the mature personality.1927, Mental Hygiene 1927-01: Volume 11, Issue 1, National Mental Health Association, page 17. From the entry overaggressive
  • Taiwan has a Governor-General with extreme powers, and is now an integral part of Japan.1902, “Appendix”, in The Isle of Man, Gibraltar, Malta, St Helena, Barbados, Cyrpus, the Channel Islands, the British Army & Navy (The…. From the entry Taiwan
  • House swapping became such an integral part of our lives that we persuaded friends and family to try it.2025 September 22, Freda Moon, “Tahiti on the Cheap”, in The New York Times, →ISSN. From the entry home swapping

Meaning of integral

  1. adjective Constituting a whole together with other parts or factors; not omittable or removable.
  2. adjective Of, pertaining to, or being an integer.
  3. adjective Relating to integration (“the process of finding the integral [noun] of a function”).

Full definition of integral

Questions about integral in a sentence

How do you use integral in a sentence?
Integral is used as an adjective and noun. For example: “The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!”
What is a short sentence with integral?
“Compute the Lebesgue integral of f over E.”
What does integral mean?
Integral means constituting a whole together with other parts or factors; not omittable or removable.

Source and license

Adapted from Wiktionary: integral (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.

Last updated:

Cite this page: “How to use integral in a sentence.” Word.ws, https://word.ws/sentences/integral. Based on Wiktionary, CC BY-SA 4.0.