integral
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About Our Definitions: All forms of a word (noun, verb, etc.) are now displayed on one page.1in·te·gral
adjective \ˈin-ti-grəl (usually so in mathematics); in-ˈte-grəl also -ˈtē- also ÷ˈin-trə-gəl\Definition of INTEGRAL
See 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
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Origin of INTEGRAL
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
2in·te·gral
noun \ˈin-ti-grəl (usually so in mathematics); in-ˈte-grəl also -ˈtē- also ÷ˈin-trə-gəl\Definition of 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
Other Mathematics and Statistics Terms
integral
noun (Concise Encyclopedia)Fundamental concept of calculus related to areas and other quantities modeled by functions. A definite integral gives the area between the graph of a function and the horizontal axis between vertical lines at the endpoints of an interval. It also calculates the net change in a system over an interval, thus leading to formulas for the work done by a varying force or the distance traveled by an object moving at varying speeds. When only the function is given, with no interval, it is known as an indefinite integral. The process of solving either a definite or an indefinite integral is called integration. According to the fundamental theorem of calculus, a definite integral can be calculated by using its antiderivative (a function whose rate of change, or derivative, equals the function being integrated). Integrals extend to higher dimensions through multiple integrals. See also line integral; surface integral.
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