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