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integral - 6 dictionary results
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in⋅te⋅gral

  [in-ti-gruhl, in-teg-ruhl]
Use integral in a Sentence
–adjective
1. of, pertaining to, or belonging as a part of the whole; constituent or component: integral parts.
2. necessary to the completeness of the whole: This point is integral to his plan.
3. consisting or composed of parts that together constitute a whole.
4. entire; complete; whole: the integral works of a writer.
5. Arithmetic. pertaining to or being an integer; not fractional.
6. Mathematics. pertaining to or involving integrals.
–noun
7. an integral whole.
8. Mathematics.
a. Also called Riemann integral. the numerical measure of the area bounded above by the graph of a given function, below by the x-axis, and on the sides by ordinates drawn at the endpoints of a specified interval; the limit, as the norm of partitions of the given interval approaches zero, of the sum of the products of the function evaluated at a point in each subinterval times the length of the subinterval.
b. a primitive.
c. any of several analogous quantities. Compare improper integral, line integral, multiple integral, surface integral.
Origin:
1545–55; < ML integrālis. See integer, -al 1

Related forms:
in⋅te⋅gral⋅i⋅ty, noun
in⋅te⋅gral⋅ly, adverb

Synonyms:
2. essential, indispensable, requisite.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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in·te·gral   (ĭn'tĭ-grəl, ĭn-těg'rəl)   
adj.  
  1. Essential or necessary for completeness; constituent: The kitchen is an integral part of a house.
  2. Possessing everything essential; entire.
  3. (ĭn'tĭ-grəl) Mathematics
    1. Expressed or expressible as or in terms of integers.
    2. Expressed as or involving integrals.
n.  
  1. A complete unit; a whole.
  2. (ĭn'tĭ-grəl) Mathematics
    1. A number computed by a limiting process in which the domain of a function, often an interval or planar region, is divided into arbitrarily small units, the value of the function at a point in each unit is multiplied by the linear or areal measurement of that unit, and all such products are summed.
    2. A definite integral.
    3. An indefinite integral.

[Middle English, from Old French, from Medieval Latin integrālis, making up a whole, from Latin integer, complete; see integer.]
in'te·gral'i·ty (-grāl'ĭ-tē) n., in'te·gral·ly adv.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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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.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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Language Translation for : integral
Spanish: integral,
German: das Vollkorn,
Japanese: 全粒小麦粉
More Translations »

integral 
1471, "of or pertaining to a whole," from M.Fr. intégral (14c.), from M.L. integralis "forming a whole," from L. integer "whole" (see integer).
Online Etymology Dictionary, © 2001 Douglas Harper
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integral   (ĭn'tĭ-grəl)  Pronunciation Key 
Adjective   Involving or expressed as an integer or integers.

Noun   See definite integral, indefinite integral.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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