• Integral

    Pronunciation

    • AdjectiveUK enPR: Ä­n-tÄ•gʹrÉ™l, IPA: /ɪnˈtÉ›grÉ™l/
    • NounUK enPR: Ä­nʹtÄ­-grÉ™l, IPA: /ˈɪntɪgrÉ™l/US enPR: Ä­nʹtÉ™-grÉ™l, IPA: /ˈɪntÉ™grÉ™l/

    Origin

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

    Full definition of integral

    Adjective

    integral

    1. Constituting a whole together with other parts or factors; not omittable or removable
      • SouthCeasing to do evil, and doing good, are the two great integral parts that complete this duty.
    2. (mathematics) Of, pertaining to, or being an integer.
    3. (mathematics) Relating to integration.
    4. (obsolete) whole; undamaged
      • Francis BaconA local motion keepeth bodies integral.

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    Noun

    integral

    (plural integrals)
    1. (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}.''
    1. (mathematics) Antiderivative''The integral of
    x^2 is \frac{x^3}{3} plus a constant.''

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