Reduction formula for integration of x/(cosh x)^n from 0 to infinity where n > 2

Published on December 5, 2024

The solution attempts to derive a reduction formula for the integral \(\int_0^\infty \frac{x}{\cosh^n(x)} dx\) using integration by parts and Feynman's trick, but ultimately finds that expressing the integral in terms of hypergeometric functions is a more suitable approach.

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