getting Limit[] to evaluate

*To*: mathgroup at yoda.ncsa.uiuc.edu*Subject*: getting Limit[] to evaluate*From*: jacobson at cello.hpl.hp.com*Date*: Thu, 01 Nov 90 15:00:00 PST

I wanted to compute the following definite integral, where b > 0 In[1]:= Integrate[x (1-x)^b,{x,0,1}] Limit::nlm: Could not find definite limit. 1 + b 2 + b 1 1 (1 - x) (1 - x) Out[1]= ----- - ----- + Limit[-(------------) + ------------, x -> 1] 1 + b 2 + b 1 + b 2 + b The problem is that it doesn't know that b is not -1 or -2. In this particular case, I can see "by inspection" that the Limit[...] term evaluates to zero, but how can I get Mathematica to do this itself? -- David Jacobson