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Bug in Integrate? (v. 5.0)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg45232] Bug in Integrate? (v. 5.0)
  • From: "Antonio González" <gonferREMOVE at esi.us.es>
  • Date: Tue, 23 Dec 2003 05:13:27 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Trying to find the Fourier series of

 f[t_]=Sinh[a Cos[t]]

I tried the integral

 J = Integrate[4 Cos[t] Sinh[a Cos[t]]/Pi,{t,0,Pi/2}]

whose result should be

 J = 2 BesselI[1,a]

and, in fact, this is the answer in Mathematica 4.1.
In Mathematica 5.0, I got the wrong result

 J = 0

Can anybody explain why?

  Antonio




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