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MathGroup Archive 2007

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Re: Re: Integrate modified in version 6?


On Thursday 21 June 2007 03:28:25 Andrzej Kozlowski wrote:
> My version of Mathematica 6.0 gives:
>
> Integrate[z*(ArcSin[z]/(1 + z)^2), {z, 0, 1}]
>
> (1/2)*(MeijerG[{{-(1/2), 0}, {1}}, {{0, 0, 1/2}, {}}, 1] -
>        MeijerG[{{-(1/2), 0}, {1, 1}}, {{0, 0, 1/2, 1/2}, {}}, 1]/Sqrt
> [Pi])
>
> I don't know whether this answer is right or wrong (Mathematica takes
> for ever to evaluate this numerically) but one thing is clear: it
> certainly is not -Infinity. Which only proves, what you would have
> already known if you read some past posts on similar topics, namely,
> that you can't trust the person you got this information from because
> he has a habit of using beta versions long past the release date and
> then calling bugs he finds in the beta version as  "bugs in
> Mathematica". He has done this before (on this forum) and it seems he
> is still doing it on others.
>
> Andrzej Kozlowski


Interesting, because here


In[1]:= Integrate[z*(ArcSin[z]/(1 + z)^2), {z, 0, 1}]

Out[1]= -Infinity

In[2]:= $Version

Out[2]= "6.0 for Linux x86 (32-bit) (April 20, 2007)"



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