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Integrals

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.

📖 Definitions of "Integrals"

noun
  1. 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. 2

    A definite integral, a limit of sums.

  3. 3

    Antiderivative

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

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