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Re: definite double integral issue
Posted:
Dec 11, 2012 7:54 PM


Yes, Mathematica has always (?) supported such dependent bounds in iterated integrals.
Both versions of your input work just fine in Mathematica 9.0.0 under both Mac OS X 10.8.2 and Windows 7, the second returning result:
0.741019
I cannot imagine why you would get a kernel crash with this in 8.0.4.
On Dec 11, 2012, at 2:26 AM, Alex Krasnov <akrasnov@eecs.berkeley.edu> wrote:
> I discovered the following issue in Mathematica 8.0.4: > > In: Integrate[x/Sqrt[x^2+y^2], {y, 1/2, 3/2}, {x, 1, 1/2y}] > Out: (2*Sqrt[5]2*Sqrt[13]16*ArcSinh[1/2]16*ArcSinh[3/2]+Sqrt[2]*ArcSinh[3]+S qrt[2]*ArcSinh[5])/32 > > In: Integrate[x/Sqrt[x^2+y^2], {y, 0.5, 1.5}, {x, 1.0, 0.5y}] > Out: (kernel crash) > > I have not yet reproduced this issue in Mathematica 9.0.0. I am uncertain > whether Integrate actually supports dependent bounds and whether the > evaluation chain is different for exact and approximate real bounds. > > Alex
 Murray Eisenberg murray@math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 5491020 (H) University of Massachusetts 413 5452838 (W) 710 North Pleasant Street fax 413 5451801 Amherst, MA 010039305



