Re: definite double integral issue
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- Subject: [mg129074] Re: definite double integral issue
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Tue, 11 Dec 2012 19:56:37 -0500 (EST)
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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 at 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, 1/2-y}]
> 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, 0.5-y}]
> 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 at math.umass.edu
Mathematics & Statistics Dept.
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University of Massachusetts 413 545-2838 (W)
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- From: Alex Krasnov <akrasnov@eecs.berkeley.edu>
- definite double integral issue