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 > >