Definition: integral
Source: WordNet (r) 1.7
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)
Source: Webster's Revised Unabridged Dictionary (1913)
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.
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.
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.
