Integrate bugs
- To: mathgroup at smc.vnet.net
- Subject: [mg76688] Integrate bugs
- From: dimitris <dimmechan at yahoo.com>
- Date: Sat, 26 May 2007 04:19:56 -0400 (EDT)
$VersionNumber
5.2
In[75]:=
int1 = (1/(2*Pi*I))*Integrate[1/o, {o, 1, I, -1, -I, 1}]
Out[75]=
1
In[76]:=
int2 = (1/(2*Pi*I))*Integrate[1/o, {o, r, r*I, -r, (-r)*I, r},
Assumptions -> r > 0]
Out[76]=
1
In[78]:=
int3 = (1/(2*Pi*I))*Integrate[Exp[2/o], {o, 1, I, -1, -I, 1}]
Out[78]=
2
In[82]:=
int4 = (1/(2*Pi*I))*Integrate[Exp[2/o], {o, r, r*I, -r, (-r)*I, r},
Assumptions -> r > 0]
Simplify[int4]
Out[82]=
-((I*((-E^(-2/r))*r - E^(2/r)*r + (E^(-2/r) - I*E^((2*I)/r))*r +
(I*E^((2*I)/r) + E^(2/r))*r))/(2*Pi))
Out[83]=
0
inti (i=1,2,3) are correct (residue theorem)
int4 is incorrect (it should be 2; residue theorem)
1)Any ideas for workarounds in version 5.2?
2)What does version 6 do?
Thanks
Dimitris