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MathGroup Archive 2004

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Troubles with Integrating certain functions in 5.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg49113] Troubles with Integrating certain functions in 5.0
  • From: mdh at media.mit.edu (Matt Hancher)
  • Date: Thu, 1 Jul 2004 05:26:29 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi all,

I'm running 5.0.0.0 on OS X, and Integrate is misbehaving.  Below I show 
the results of performing the same definite integral two times.  The only 
difference is that I pulled out the constant factor Sqrt[E] in the second 
case.  Only the second case is correct; the Struve function shouldn't be 
there in the first case.

I'm pretty sure I'm not just being dumb.  Anybody have any thoughts?
I'd be curious to know how this plays out with other versions and on 
other platforms....

In: Integrate[Exp[-Sin[x]^2]*Sqrt[E], {x, 0, Pi}]
Out: Pi ( BesselI[0, 1/2] - StruveL[0, 1/2] )

Versus:

In: Integrate[Exp[-Sin[x]^2], {x, 0, Pi}]*Sqrt[E]
Out: Pi BesselI[0,1/2]

Thanks for any thoughts,
Matt

Matt Hancher
NASA Ames Research Center
Official: mdh at email.arc.nasa.gov
Personal: mdh at media.mit.edu


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