Question: surface integration

 

 Dear all:

   I wonder how to integrate a function

 

f=t1^a1*t2^a2*t3^a3/(1-t1)^b1/(1-t2)^b2/(1-t3)^b3
 

  over the surface

 0<= t1,t2,t3 <=1, t1+t2+t3=1  ?

 

Thanks,

Peter

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