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Student Support Forum: 'Integrate problem in version 4' topicStudent Support Forum > General > Archives > "Integrate problem in version 4"

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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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Subject (listing for 'Integrate problem in version 4')
Author Date Posted
Integrate problem in version 4 Kevin Hase 09/27/00 05:59am
Re: Integrate problem in version 4 Forum Modera... 09/27/00 06:06am
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