| Author |
Comment/Response |
Kevin Hase
|
09/27/00 05:59am
The following integral works in version 3 but not in version 4. The result I have given is from version 3. Why does it fail in version 4?
In[1]:=
Integrate[4*Pi*r^2*(Sin[\[Kappa]*r]*r*Erf[r*\[Xi]])/(\[Kappa]*r),
{r, 0, Infinity}, Assumptions ->
{Im[\[Kappa]] == 0, Im[\[Xi]] == 0, Re[\[Xi]] > 0, Re[\[Kappa]] > 0,
\[Kappa] > 0, \[Xi] > 0}]
Out[1]:=
-((Pi*(\[Kappa]^4 + 2*\[Kappa]^2*\[Xi]^2 + 8*\[Xi]^4))/
(E^(\[Kappa]^2/(4*\[Xi]^2))*\[Kappa]^4*\[Xi]^4))
Version 4 gives the error:
Integrate::''idiv'' : ''Integral of \!\(r\^2\\ \(\(Erf[\(\(r\\ \[Xi]\)\)]\)\)\\ \
\(\(Sin[\(\(r\\ \[Kappa]\)\)]\)\)\) does not converge on \!\({0, \
\*InterpretationBox[\''\[Infinity]\'', DirectedInfinity[1]]}\).''
My version evaluates to:
In[6]:=
$Version
Out[6]=
''4.0 for Microsoft Windows (July 16, 1999)''
In[5]:=
$ReleaseNumber
Out[5]=
1
Thank you very much.
Kevin
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