Cauchy principal value

In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined. In this method, a singularity on an integral interval is avoided by limiting the integral interval to the non singular domain.

This article is about a method for assigning values to improper integrals. For the values of a complex function associated with a single branch, see Principal value. For the negative-power portion of a Laurent series, see Principal part.
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