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integral

integral

3 9.7
A function that shows the total area under the graph of another function
  • noun
  • /ˈɪntɪɡrəl/
  • Specialized
translation icon : integral
  • In calculus, the integral represents the accumulation of quantities over an interval.
  • integral and derivatives
  • line integral
  • loop integral

And of course DU now our integral is simple enough.

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Examples

  • The color gradient across a slice of meat is thus a representation of the integral of temperature exposure over time.

    Academic text (1999)
  • In most cases, this integral is not available in closed form.

    Academic text (2010)
  • So P times the integral of Y, right?

  • So I want minus the integral of a.

  • The work done by you is the integral of PDV.

  • In electrodynamics, the integral of the vector potential around a closed curve gives a magnetic flux.

    Academic text (2012)
  • That's one of the most difficult integrals I've ever solved.

  • To find the area under the curve, you must calculate the integral of the function.

  • The integral of a function can help determine the total distance traveled over time.

Compounds

integral calculus
  • Specialized
1 8.4

A part of mathematics that finds areas, volumes, and solves some equations by adding many small parts

definite integral
  • Specialized
8.1

A number that shows the area under a curve between two points

indefinite integral
  • Specialized
8.9

A group of functions that all have the same derivative, written as F(x) + a constant

Surface Forms

integral singular
integrals plural

Morphology

integral = integrate (semi-transparent) = integr + al

The noun 'integral' in mathematics is derived from 'integrate', but the specific meaning related to calculus may not be immediately apparent.

Etymology

Integral as a math noun comes from the same Latin root integer meaning 'whole' and is like the word integrate, which means 'to make whole' by joining parts, so an integral adds up many small pieces to give a total or the area under a curve.