Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • adjective Essential or necessary for completeness; constituent.
  • adjective Possessing everything essential; entire.
  • adjective Expressed or expressible as or in terms of integers.
  • adjective Expressed as or involving integrals.
  • noun A complete unit; a whole.
  • noun 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.
  • noun A definite integral.
  • noun An indefinite integral.

from The Century Dictionary.

  • Relating to a whole composed of parts spatially distinct (as a human body of head, trunk, and limbs), or of distinct units (as a number).
  • Hence, and by a reversion to the classical meaning of integer
  • Unmaimed; unimpaired.
  • Intrinsic; belonging as a part to the whole, and not a mere appendage to it.
  • In mathematics: Of, pertaining to, or being a whole number or undivided quantity.
  • Pertaining to or proceeding by integration: as, the integral method.
  • noun An integral whole; a whole formed of parts spatially distinct, or of numerical parts.
  • noun An integral part.
  • noun In mathematics, the result of integration, or the operation inverse to differentiation.
  • noun See the adjectives.
  • Total.

from the GNU version of the Collaborative International Dictionary of English.

  • adjective Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
  • adjective Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
  • adjective Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
  • adjective Pertaining to, or proceeding by, integration.
  • adjective See under Calculus.
  • noun A whole; an entire thing; a whole number; an individual.
  • noun (Math.) An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
  • noun 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 Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective Constituting a whole together with other parts or factors; not omittable or removable
  • adjective mathematics Of, pertaining to, or being an integer.
  • noun 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.
  • noun mathematics Antiderivative

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • noun the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
  • adjective constituting the undiminished entirety; lacking nothing essential especially not damaged
  • adjective existing as an essential constituent or characteristic
  • adjective of or denoted by an integer

Etymologies

from The American Heritage® Dictionary of the English Language, 4th Edition

[Middle English, from Old French, from Medieval Latin integrālis, making up a whole, from Latin integer, complete; see integer.]

from Wiktionary, Creative Commons Attribution/Share-Alike License

From Medieval Latin integralis, from Latin integer ("entire"); see integer.

Examples

Comments

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  • An integral is the result of integration. The intergrand is the expression that you integrate.

    December 9, 2006