integral

1 of 2

adjective

in·​te·​gral

(usually so in mathematics)

ˈin-ti-grəl  in-ˈte-grəl 

 also  -ˈtē-,

 also nonstandard  ˈin-trə-gəl

1

a

: 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

integrality

ˌin-tə-ˈgra-lə-tē 

noun

integrally

ˈin-ti-grə-lē 

in-ˈte-grə-

 also  -ˈtē-

adverb

integral

2 of 2

noun

in·​te·​gral ˈin-ti-grəl 

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

Synonyms

Adjective

• built-in
• constitutional
• constitutive
• essential
• hardwired
• immanent
• inborn
• inbred
• indigenous
• ingrain
• ingrained
• engrained
• inherent
• innate
• intrinsic
• native
• natural

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

In addition, as Biden concludes his term, tribal communities and conservation groups are urging for more national monument designations, ensuring that the stories of resilience and struggle remain an integral part of the nation's historical narrative. —Paul Du Quenoy, Newsweek, 10 Dec. 2024

For many owners, their business is not just a source of income but an integral part of their identity. —Steven Furtado, Forbes, 10 Dec. 2024

Noun

The idea is that all mathematical results—whether 1 + 1 = 2 or a complicated integral—can derive from a common foundation. —Manon Bischoff, Scientific American, 1 Oct. 2024

In comparison, prior constructions involve estimating an integral over many variables, while the latest work involves only two variables regardless of the shape’s dimension. —Max Springer, Scientific American, 7 Aug. 2024

Word History

Etymology

Adjective

see integer

Noun

see integer

First Known Use

Adjective

1551, in the meaning defined at sense 1a

Noun

circa 1741, in the meaning defined above

Phrases Containing integral

• definite integral
• improper integral
• indefinite integral
• integral calculus
• integral domain
• Riemann integral

Kids Definition

integral

adjective

in·​te·​gral

ˈint-i-grəl (,

 usually so in mathematics  );

in-ˈteg-rəl,

 also  -ˈtēg-

1

: needed for completeness

a lens is an integral part of a camera

2

: of or relating to an integer

9 is an integral factor of 72

3

: made up of components that together make a whole

an integral locking system

4

: lacking nothing essential : entire

integrally

ˈint-i-grə-lē;

in-ˈteg-rə-

 also  -ˈtēg-

adverb