Re: Beta function, Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg79912] Re: Beta function, Integral
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Wed, 8 Aug 2007 04:59:52 -0400 (EDT)
- Organization: Uni Leipzig
- References: <f990ds$btq$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
Hi,
Integrate[t^{p - 1}*(1 - t)^(q - 1), {t, 0, z},
Assumptions -> {p > 0 && q > 0 && Re[z] <= 1}]
works, but best of all it return a List[] with the
expression inside ...
Thats a bug.
Regards
Jens
Asim wrote:
> Hi
>
> The following integral does not seem to give the correct answer. The
> answer should be the Euler Beta function, Beta[p,q]. Can anybody let
> me know what I am doing wrong? Or is this a bug?
>
>
> In[12]:= Integrate[t^{p - 1}*(1 - t)^(q - 1), {t, 0, 1}, Assumptions -
>> {p > 0, q > 0}]
>
> Out[12]= {(\[Pi] Csc[\[Pi] q] Gamma[p])/(Gamma[1 - q] Gamma[p + q])}
>
>
> Thanks
>
> Asim Ansari
>
>