Definition of definite integral in US English:

definite integral


  • An integral expressed as the difference between the values of the integral at specified upper and lower limits of the independent variable.

    • ‘His first paper on definite integrals appeared in the Messenger of mathematics.’
    • ‘In Abel's third paper, Solutions of some problems by means of definite integrals he gave the first solution of an integral equation.’
    • ‘His mathematical output remained strong and in 1814 he published the memoir on definite integrals that later became the basis of his theory of complex functions.’
    • ‘His doctoral dissertation On definite integrals and functions with application in expansion of series was an early investigation of the theory of singular integral equations.’
    • ‘He attended courses by Dirichlet on the theory of numbers, on potential theory, on definite integrals, and on partial differential equations.’


definite integral