definite integral

noun, Mathematics
1.
the representation, usually in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points.
Compare indefinite integral.
Origin
1875-80
British Dictionary definitions for definite integral

definite integral

noun
1.
(maths)
  1. the evaluation of the indefinite integral between two limits, representing the area between the given function and the x-axis between these two values of x
  2. the expression for that function, ʃbaf(x)dx, where f(x) is the given function and x = a and x = b are the limits of integration. Where F(x) = ʃf(x)dx, the indefinite integral, ʃbaf(x)dx = F(b)–F(a)
definite integral in Science
definite integral
  (děf'ə-nĭt)   

  1. The difference between the values of an indefinite integral evaluated at each of two limit points, usually expressed in the form ∫ b/a ƒ(x)dx. The result of performing the integral is a number that represents the area bounded by the curve of ƒ(x) between the limits and the x-axis if f(x) is greater than or equal to zero between the limits.

  2. The result of an integration performed on a fixed interval.