integral

Meaning

Adj

1. Constituting a whole together with other parts or factors; not omittable or removable
2. Of, pertaining to, or being an integer.
3. Relating to integration (“the process of finding the integral [noun] of a function”).
4. Being the root of some monic polynomial in A.
5. (obsolete) Whole; undamaged.

Noun

1. One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
2. (specifically) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
3. A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign.
4. An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;
5. (historical, obsolete) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;

Opposite of

derivative

Synonyms

whole

complete

entire

inherent

essential

substantial

intrinsic

full

built-in

vital

intact

imprescriptible

integer

inalienable

inbuilt

perfect

innate

int

plenary

constitutional

integer-valued

fundamental

total

gist

global

holistic

implicit

incorporate

indefeasible

indwelling

integration

intrinsical

livelong

material

numeric

numerical

organic

outright

overall

pertinent

precise

quintessential

sound

🔉

stark

storage

stores

subsistent

substantive

thorough

thoroughgoing

Translations

Integral

intégrale

integrale

integral

intégral

integral

integraal

ακέραιος

wesentlich

essencial

essentiel

onaangetast

ongeschonden

Pronounced as (IPA)

/ˈɪntɪɡr(ə)l/

Etymology

Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.

Sentences

The orienting response is believed to play an integral role in preference formation .