Hypertext Webster Gateway: "Integral"

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Integral \In"te*gral\, a. [Cf. F. int['e]gral. See {Integer}.]
1. Lacking nothing of completeness; complete; perfect;
uninjured; whole; entire.

A local motion keepeth bodies integral. --Bacon.

2. Essential to completeness; constituent, as a part;
pertaining to, or serving to form, an integer; integrant.

Ceasing to do evil, and doing good, are the two
great integral parts that complete this duty.
--South.

3. (Math.)
(a) Of, pertaining to, or being, a whole number or
undivided quantity; not fractional.
(b) Pertaining to, or proceeding by, integration; as, the
integral calculus.

{Integral calculus}. See under {Calculus}.

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Integral \In"te*gral\, n.
1. A whole; an entire thing; a whole number; an individual.

2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
{Differential}, and {Integration}. Cf. {Fluent}.

{Elliptic integral}, one of an important class of integrals,
occurring in the higher mathematics; -- so called because
one of the integrals expresses the length of an arc of an
ellipse.

From Webster's Revised Unabridged Dictionary (1913) (web1913)

Fluent \Flu"ent\, n.
1. A current of water; a stream. [Obs.]

2. [Cf. F. fluente.] (Math.) A variable quantity, considered
as increasing or diminishing; -- called, in the modern
calculus, the {function} or {integral}.

From WordNet (r) 1.7 (wn)

integral
adj 1: existing as an essential constituent or characteristic; "the
Ptolemaic system with its built-in concept of
periodicity"; "a constitutional inability to tell the
truth" [syn: {built-in}, {constitutional}, {inbuilt},
{inherent}]
2: constituting the undiminished entirety; lacking nothing
essential especially not damaged; "a local motion keepeth
bodies integral"- Bacon; "was able to keep the collection
entire during his lifetime"; "fought to keep the union
intact" [syn: {entire}, {intact}]
n : the result of a mathematical integration; F(x) is the
integral of f(x) if dF/dx = f(x)


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