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Beta function, Integral


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



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