definite integral

WordReference Random House Unabridged Dictionary of American English © 2025

def′inite in′tegral, [Math.]

1. Mathematics the representation, usually in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points. Cf. indefinite integral.

• 1875–80

Collins Concise English Dictionary © HarperCollins Publishers::

definite integral noun

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, ∫^b_af(x)dx, where f(x) is the given function and x = a and x = b are the limits of integration. Where F(x) = ∫f(x)dx, the indefinite integral, ∫^b_af(x)dx = F(b)–F(a)