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Mathematics vocabulary · Calculus

Integrate

Meaning in mathematics, with examples

/ˈɪntɪɡreɪt/verbCore term

In mathematics, integrate means: To find the integral of a function: either a function whose derivative is the given one, or the area under its graph between two limits.

In Turkish: integral almak, integralini almak

How it is used

You integrate a function 'with respect to' a variable, often 'between the limits 0 and 1' or 'from 0 to 1'. The process is called 'integration', and common methods include substitution and integration by parts.

Example sentences

  1. Integrate 6x² with respect to x and add the constant.

  2. To find the area, integrate the function from 1 to 4.

Common collocations

  • integrate with respect to x
  • integrate from a to b
  • integration by parts
  • integrate by substitution
  • integralThe result of integration: either a family of functions whose derivative is the given function, or a number giving the area under a curve between two limits.
  • differentiateTo find the derivative of a function, that is, a formula for its rate of change; if you differentiate x³, you get 3x².
  • areaThe size of a flat surface, measured in square units such as cm² or m²; a rectangle 4 m long and 3 m wide has an area of 12 m².
  • derivativeA function that gives the rate of change of another function at each point, which is the slope of its graph there; the derivative of x² is 2x.

More terms: Calculus

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