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Topic: definite double integral issue
Replies: 3   Last Post: Dec 11, 2012 7:55 PM

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Till

Posts: 1
Registered: 12/11/12
Re: definite double integral issue
Posted: Dec 11, 2012 7:54 PM
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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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