
Re: cauchy principal value double integral
Posted:
Dec 4, 2012 4:08 AM


On Monday, December 3, 2012 2:18:53 AM UTC6, Alex Krasnov wrote: > I am unclear how to interpret the following result (Mathematica 8.0.4): > > > > In: Integrate[1/(x^2+y^2), {x, 1, 1}, {y, 1, 1}, PrincipalValue > True] > > Out: 4*Catalan > > > > How is Cauchy principal value defined in this case? Since the integrand is > > circularly symmetric around (0,0), excluding a shrinking neighborhood > > around (0,0) is not useful. Perhaps this result is merely an issue with > > option handling for multiple integrals? > > > > Alex
That does indeed look like a bug.
Daniel Lichtblau Wolfram Research

