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Re: Bug with Integrate in v7?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103192] Re: Bug with Integrate in v7?
  • From: psycho_dad <s.nesseris at gmail.com>
  • Date: Thu, 10 Sep 2009 07:20:25 -0400 (EDT)
  • References: <h859sa$pva$1@smc.vnet.net> <h87pdf$5f6$1@smc.vnet.net>

Funny, I generalized the expression by replacing the exponent in z-1
with an arbitrary constant:

f=(x-1)^2(y-1)^2 (z-1)^a;

and then both integrations fail in v7:

Integrate[f,{x,-1,1},{y,-1,1},{z,-1,1}]
0

Integrate[Integrate[Integrate[f,{x,-1,1}],{y,-1,1}],
{z,-1,1},Assumptions->a>0]
0

while in v6 they both give:
((-1)^a 2^(7 + a))/(9 (1 + a))

for a->2 this gives 512/27

I would expect that tests like this should be done before a new
version is released...


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