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a old post again


See again my post here

http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/b3548554d0d2089f/28be613fe6e90f20?lnk=gst&q=&rnum=1&hl=en#28be613fe6e90f20

I wonder why Mathematica 5.2 fails to evaluate symbolically the
following integral

Integrate[(Log[a*x]/Sqrt[1 + x^2])*BesselJ[0, x], {x, 0, Infinity}]
BesselI[0, 1/2]*BesselK[0, 1/2]*Log[a]

%/.a->0
0

NIntegrate[(Log[x]/Sqrt[1 + x^2])*BesselJ[0, x], {x, 0, Infinity},
Method -> Oscillatory]
-0.9979393746360525

whereas

Mathematica 4.0 succeds?

Regards
Dimitris


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