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Mathematics vocabulary · Calculus

Integral

Meaning in mathematics, with examples

/ˈɪntɪɡrəl/nounCore term

In mathematics, integral means: The 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.

In Turkish: integral

How it is used

An indefinite integral, such as ∫2x dx = x² + C, includes a constant of integration C; a definite integral has lower and upper limits and gives a number. ∫f(x) dx is read 'the integral of f of x dx'.

Example sentences

  1. Evaluate the definite integral of x² from 0 to 3.

  2. Don't forget the plus C at the end of an indefinite integral.

Common collocations

  • definite integral
  • indefinite integral
  • evaluate the integral
  • constant of integration
  • integrateTo find the integral of a function: either a function whose derivative is the given one, or the area under its graph between two limits.
  • 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.
  • 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.
  • limitThe value that a function or sequence gets closer and closer to as the input approaches a certain number or grows without bound.

More terms: Calculus

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