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Question: Why can't maple solve this oscillatory integral

Question:Why can't maple solve this oscillatory integral

Christopher2222 6030 Maple
integral oscillatory
December 02 2010
1

It was mentioned in the post that Maple can not solve some oscillatory integrals, mainly this one

int(cos(log(x)/x), x = 0 .. 1)

int(cos(log(x)/x), x = .001 .. 1) is okay

but we find that when we go from 0.0001 .. 1 Maple endlessly evaluates.  It seems as soon as we hit that 4th decimal there appears a problem. 

int(cos(log(x)/x), x = .00001 .. 0.0001) won't work either.  Oh, this is at least in Maple 12 I haven't yet tried it on a newer version of Maple for which a problem may still exist. 

Is this a bug in Maple that has yet to be addressed?  Is there a workaround?

 
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