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Question: Very long runtime for that integral - why?

Question:Very long runtime for that integral - why?

Axel Vogt 5906 Maple
infinity interface
March 06 2006
0
The following seems to run endless (WinME, M10.02 classical interface): Int(2.9992571251988*(kappa-.89988751406074)/Pi* exp(3.3571035419740-12.0624756920228897*ln(kappa))* BesselK(1,26.1571648648044217*(.13147587176957e-1+(-.57683186342273e-1+ln(kappa))^2)^(1/2))/ (.13147587176957e-1+(-.57683186342273e-1+ln(kappa))^2)^(1/2)/kappa, kappa = .89988751406074 .. 4.0); evalf(%); I did not want to massage it by hand (as the fct may change and actually I want the upperbound to be infinity). The reason can not be the slow numerics for Bessels (as an external DLL with brute callback gives the result slowly, but in less than 3 sec as 0.106106473481553262). What is the reason, what to do (within Maple)?
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