MathGroup Archive 2007

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bug in Integrate


The following integral is evaluated wrong by Mathematica

f = HoldForm[Integrate[x*BesselJ[0, x]*Cos[x], {x, 0, Infinity}]]

ReleaseHold[f]
0

The integral is divergent.

The same holds true for the following integral

g = HoldForm[Integrate[x*BesselJ[0, x]*Sin[x], {x, 0, Infinity}]]

ReleaseHold[g]
Integrate::gener: Unable to check convergence.
0

but this time we get a warning message that indicates that the result
might be wrong; as it is.



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