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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.’
‘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.’
‘In Abel's third paper, Solutions of some problems by means of definite integrals he gave the first solution of an integral equation.’
‘He attended courses by Dirichlet on the theory of numbers, on potential theory, on definite integrals, and on partial differential equations.’
‘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.’