Till
Posts:
1
Registered:
12/11/12


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


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, 1/2y}] > > 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, 0.5y}] > > 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

