integral Meaning, Definition & Usage

  1. noun the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x)
  2. adjective satellite existing as an essential constituent or characteristic
    inbuilt; constitutional; built-in; inherent.
    • the Ptolemaic system with its built-in concept of periodicity
    • a constitutional inability to tell the truth
  3. adjective satellite constituting the undiminished entirety; lacking nothing essential especially not damaged
    entire; intact.
    • a local motion keepeth bodies integral"- Bacon
    • was able to keep the collection entire during his lifetime
    • fought to keep the union intact
  4. adjective of or denoted by an integer

WordNet

In"te*gral adjective
Etymology
Cf. F. intégral. See Integer.
Definitions
  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.
In"te*gral noun
Definitions
  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.

Webster 1913