
definite double integral issue
Posted:
Dec 11, 2012 2:24 AM


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

