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Re: bug in Integrate

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  • Subject: [mg74786] Re: bug in Integrate
  • From: Bhuvanesh <lalu_bhatt at>
  • Date: Thu, 5 Apr 2007 04:10:15 -0400 (EDT)

Thanks for the report. This has already been fixed in the development version for quite a while. In this case, you can get the expected divergence using GenerateConditions->True, which does more extensive checking:

In[1]:= $Version

Out[1]= 5.2 for Microsoft Windows (June 10, 2005)

In[2]:= Integrate[x*BesselJ[0, x]*Cos[x], {x, 0, Infinity}, GenerateConditions->True]

Integrate::idiv: Integral of x BesselJ[0, x] Cos[x] does not converge on {0, Infinity}.

Out[2]= Integrate[x BesselJ[0, x] Cos[x], {x, 0, Infinity}, GenerateConditions -> True]

In[3]:= Integrate[x*BesselJ[0, x]*Sin[x], {x, 0, Infinity}, GenerateConditions->True]

Integrate::gener: Unable to check convergence.

Integrate::idiv: Integral of x BesselJ[0, x] Sin[x] does not converge on {0, Infinity}.

Out[3]= Integrate[x BesselJ[0, x] Sin[x], {x, 0, Infinity}, GenerateConditions -> True]

Wolfram Research.

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