Divergent Integral

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divergent integral [də′vər·jənt ′in·tə·grəl]

(mathematics)

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.

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