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Question: troubleshoot slow integration?

Question:troubleshoot slow integration?

eightyfiv 12 Maple
example integral
April 02 2007
0
I keep running into trouble where I try to evaluate a seemingly reasonable integral numerically and Maple (9.5) runs arbitrarily long before I have to give up on it. Sometimes tweaking the expression to simplify it fixes the problem and produces an answer promptly, sometimes it doesn't. How do I troubleshoot such a thing? It's very frustrating not being able to get an result and not knowing why. My current example is this: (often they're simpler!) evalf(int(int(log(1 + 1/((x-4)^2 + y^2)^(3/2) / (10^(-6.5) + 1/((x-4)^2+y^2)^(3/2))), y=-50..-1), x=-50..50)); Any thoughts? Thanks! --Micah
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