1 integral | Definition of integral

integral

adjective
in·​te·​gral | \ ˈin-ti-grÉ™l (usu so in mathematics) How to pronounce integral (audio) ; in-ˈte-grÉ™l also -ˈtÄ“- also nonstandard ˈin-trÉ™-gÉ™l How to pronounce integral (audio) \

Definition of integral

 (Entry 1 of 2)

1a : essential to completeness : constituent an integral part of the curriculum
b(1) : being, containing, or relating to one or more mathematical integers
(2) : relating to or concerned with mathematical integration or the results of mathematical integration
c : formed as a unit with another part a seat with integral headrest
2 : composed of constituent parts
3 : lacking nothing essential : entire

integral

noun
in·​te·​gral | \ ˈin-ti-grÉ™l (usu so in mathematics) How to pronounce integral (audio) ; in-ˈte-grÉ™l also -ˈtÄ“- also nonstandard ˈin-trÉ™-gÉ™l\

Definition of integral (Entry 2 of 2)

: the result of a mathematical integration — compare definite integral, indefinite integral

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Other Words from integral

Adjective

integrality \ ËŒin-​tÉ™-​ˈgra-​lÉ™-​tÄ“ How to pronounce integrality (audio) \ noun
integrally \ ˈin-​ti-​grÉ™-​lÄ“ How to pronounce integrally (audio) ; in-​ˈte-​grÉ™-​ also  -​ˈtÄ“-​ \ adverb

Examples of integral in a Sentence

Adjective

I do know that shoot-'em-ups (and saw-'em-ups) are likely to remain part of our lives, and that suggests a depressing idea: Maybe the love of violence is an integral part of human nature … — Stephen King, Entertainment Weekly, 12 Oct. 2007 Stuffed with peanut butter, celery is the quintessential after-school snack; diced, it provides an essential crunch to chicken and potato salads; buttered up, it is an integral part of Thanksgiving stuffing. — Sara Dickerman, New York Times Magazine, 3 Sept. 2006 Sitting out on the grass … watching the freight trains roll by on the levee at two in the morning, drinking a beer and listening to the music drifting out of the club, is an integral part of the whole experience. — Tom Piazza, Why New Orleans Matters, 2005 She had become an integral part of their lives. a car dealer respected for his integral honesty and straightforwardness with customers

Noun

The main tools used in the study of these functions are those we have already discussed: representation as integrals, power-series expansions, and differential equations. — Robert S. Strichartz, The Way of Analysis, 2000

Recent Examples on the Web: Adjective

Rhoda was an integral part of that history (fact for another time: Harper wasn’t Jewish, and neither was Nancy Walker, who played her mother). Matthew Gilbert, BostonGlobe.com, "The week in watching: Rhoda and TV besties, couples on the couch, and Sacha Baron Cohen, seriously," 1 Sep. 2019 There is, however, one person who was an integral part of the workout who remembers it in vivid detail and eagerly talks about it. John Cherwa, Los Angeles Times, "Racing! Remembering Sunday Silence at Del Mar," 31 Aug. 2019 Cuddlers are an integral part of the care provided at the hospital. Cole Higgins, CNN, "Cuddlers wanted: North Carolina hospital needs volunteers to snuggle newborn babies," 30 Aug. 2019 In another big move, the team promoted Kirk Lacob, owner Joe Lacob’s son who has spent nine years as an integral part of the Warriors’ braintrust, to executive vice president of basketball operations. Jon Becker, The Mercury News, "Zaza Pachulia returns to Warriors organization," 29 Aug. 2019 While the solution might not be quite that simple, for Marshawn Lynch the treats were an integral component of his game and his NFL persona. SI.com, "A History of Football in 100 Objects," 28 Aug. 2019 Here are nine integral components of The Lion King, and our definitive opinions on which version served them better. Alex Abad-santos, Vox, "The Lion King remake isn’t a better movie, but it did a few things better than the original.," 17 July 2019 The biggest impact is made with the most foresight (not the most disruption) An integral component of disruption is the capacity to broaden the realm of what is possible. Richard Bailey, Quartz at Work, "Disruption fatigue demands a new approach to being disruptive," 11 July 2019 My birth doula likened the surgical repair for a 4th degree tear to an intricate embroidery of many layers of tissue and muscle, a repair that heals from the inside out to bring back the integral components of the pelvic floor musculature. Frances F. Denny, Harper's BAZAAR, "What People Don’t Tell You About Childbirth: The Realities of Vaginal Tearing," 16 July 2018

Recent Examples on the Web: Noun

Physicists then take the integral of every possible path an experiment could follow from beginning to end and add those integrals together. Quanta Magazine, "The Math That’s Too Difficult for Physics," 18 Nov. 2016

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'integral.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of integral

Adjective

1551, in the meaning defined at sense 1a

Noun

circa 1741, in the meaning defined above

History and Etymology for integral

Adjective

see integer

Noun

see integer

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More Definitions for integral

integral

adjective

English Language Learners Definition of integral

: very important and necessary