Integral

/ˈɪntɪɡɹəl/

noun

  1. 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}.

  2. A definite integral, a limit of sums.

  3. Antiderivative

    The integral of x^2 is \frac{x^3}{3} plus a constant.

Synonyms: antiderivative, indefinite integral,

adjective

  1. Constituting a whole together with other parts or factors; not omittable or removable

  2. Of, pertaining to, or being an integer.

  3. Relating to integration.

Synonyms: immanent, inherent, necessary

integral

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