First Known Use: 1551

Dictionary

# integral

^{1}integral

*adjective*in·te·gral \ˈin-ti-grəl (

*usually so in mathematics*); in-ˈte-grəl

*also*-ˈtē-

*also*÷ˈin-trə-gəl\

: very important and necessary

## Full Definition of *INTEGRAL*

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

—

**in·te·gral·i·ty**\ˌin-tə-ˈgra-lə-tē\*noun*—

**in·te·gral·ly**\ˈin-ti-grə-lē; in-ˈte-grə-*also*-ˈtē-\*adverb*See integral defined for English-language learners

See integral defined for kids

## Examples of *INTEGRAL*

- She had become an
*integral*part of their lives. - <a car dealer respected for his
*integral*honesty and straightforwardness with customers> - 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 - [+]more

## Origin of *INTEGRAL*

(see integer)

## Related to *INTEGRAL*

- Synonyms
- built-in, constitutional, constitutive, essential, hardwired, immanent, inborn, inbred, indigenous, ingrain, ingrained (
*also*engrained), innate, inherent, intrinsic, native, natural

- Antonyms
- adventitious, extraneous, extrinsic

^{2}integral

*noun*in·te·gral \ˈin-ti-grəl (

*usually so in mathematics*); in-ˈte-grəl

*also*-ˈtē-

*also*÷ˈin-trə-gəl\

## Definition of *INTEGRAL*

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

## Examples of *INTEGRAL*

- 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

## Origin of *INTEGRAL*

(see integer)

First Known Use: circa 1741

## Other Mathematics and Statistics Terms

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