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Some divergent trigonometric integrals

Erik Talvila
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Abstract

Some divergent trigonometric integrals have appeared in standard tables for many years, listed as converging. We give a simple proof that these integrals diverge and trace their history. The original error was made when a (startlingly) famous mathematician incorrectly differentiated under the integral sign with some convergent integrals that depend on a paramater.

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Erik Talvila. 2001-01-02. Some divergent trigonometric integrals. https://arxiv.org/abs/math/0101011

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