Beta function, Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg79858] Beta function, Integral
- From: Asim <maa48 at columbia.edu>
- Date: Tue, 7 Aug 2007 01:28:15 -0400 (EDT)
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