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Re: definite double integral issue

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129067] Re: definite double integral issue
  • From: Till <tilman.krauss at googlemail.com>
  • Date: Tue, 11 Dec 2012 19:54:17 -0500 (EST)
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I can't reproduce this with Mathematica 9.0.0

In[2]:= 
Integrate[x/Sqrt[x^2 + y^2], {y, -0.5, 1.5}, {x, -1.0, 0.5 - y}]

Out[2]= -0.741019

On Tuesday, 11 December 2012 08:24:23 UTC+1, Alex Krasnov  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]+Sqrt[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



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