Lipschitz's Integral

Author

Eric W. Weisstein
October 26, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/LipschitzsIntegral.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/LipschitzsIntegral.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Integral

Integrate[Exp[-a x]BesselJ[0,b x],{x,0,∞}]//Timing

Integrate[Exp[-a x]BesselJ[0,b x],x]

Integrate[Exp[-a x]BesselJ[n,b x],{x,0,∞}]//Timing