integral

Pronunciation: /ˈɪntɪɡr(ə)l/

The English word “integral” has 10 meanings listed here.

adjective

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

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.
Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc.
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…
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;
The fluent of a given fluxion in Newtonian calculus.

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

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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.