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Definition of Integrel

In"te*gral (?), a. [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.) 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 Unabridged Dictionary (1913)

  • Constituting a whole together with other parts or factors; not omittable or removable
  • (mathematics) Of or relating to an integer.
  • (analysis) A numerical measure computed by a limiting process in which the domain of a function is divided into small subintervals and the value of the function at a point in each subinterval is multiplied by the measurement of that subinterval, all these products then being summed.

    Portuguese
  • integral (in analysis)

    Swedish
  • integral (in analysis)
- The Nuttall Encyclopedia

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The correct Spelling of this word is: Integral

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