Lipschitz's integral is given by
 |
where 
is the zeroth order Bessel function
of the first kind.
Lipschitz's Integral
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References
Bowman, F. Introduction to Bessel Functions. New York: Dover, p. 58, 1958.Referenced on Wolfram|Alpha
Lipschitz's IntegralCite this as:
Weisstein, Eric W. "Lipschitz's Integral." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LipschitzsIntegral.html