INTEGRAL

integral, entire, intact

(adjective) 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”

constitutional, built-in, inbuilt, inherent, integral

(adjective) existing as an essential constituent or characteristic; “the Ptolemaic system with its built-in concept of periodicity”; “a constitutional inability to tell the truth”

integral

(adjective) of or denoted by an integer

integral

(noun) the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)

Source: WordNet® 3.1

Proper noun

INTEGRAL

(space, ESA) Abbreviation of International Gamma-Ray Astrophysics Laboratory. (a satellite of the European Space Agency)

Anagrams

• Triangle, alerting, altering, relating, tanglier, teraglin, triangle

Etymology

Adjective

integral (comparative more integral, superlative most integral)

Constituting a whole together with other parts or factors; not omittable or removable

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

Synonyms: immanent, inherent, necessary, Thesaurus:intrinsic

(mathematics) Of, pertaining to, or being an integer.

(mathematics) Relating to integration.

(obsolete) Whole; undamaged.

A local motion keepeth bodies integral.

Noun

integral (plural integrals)

(mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

The integral of $$x\mapsto x^2$$ on $$[0,1]$$ is $$\frac{1}{3}$$ .

(mathematics) A definite integral, a limit of sums.

(mathematics) Antiderivative

The integral of $$x^2$$ is $$\frac{x^3}{3}$$ plus a constant.

Synonyms: antiderivative, indefinite integral, ∫

Antonym: derivative

Anagrams

• Triangle, alerting, altering, relating, tanglier, teraglin, triangle

Source: Wiktionary

In"te*gral, a. Etym: [Cf. F. intégral. 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.

In"te*gral, n.

1. A whole; an entire thing; a whole number; an individual.

2. (Math.)

Definition: 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.

Source: Webster’s Unabridged Dictionary 1913 Edition

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