Divergent Integral

divergent integral

[də′vər·jənt ′in·tə·grəl]
An improper integral which does not have a finite value.

Divergent Integral


an integral that has infinite limits of integration or an unbounded integrand and is either infinite or lacks a definite finite value. For example, the integral

defined as

diverges, since

On the other hand, the integral

diverges because

does not exist.

References in periodicals archive ?
Paycha seeks to clarify some aspects of regularization techniques, which are used to make sense of divergent integrals, discrete sums, or traces.