Is GenerateConditions working properly in my version 3?
- To: mathgroup at smc.vnet.net
- Subject: [mg23416] Is GenerateConditions working properly in my version 3?
- From: zeno at magicnet.net
- Date: Sun, 7 May 2000 21:18:01 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
There is a posting in the sci.math.symbolic newsgroup about conditions for an Integral. They input.. In[2]:= Timing[FullSimplify[Integrate[Cos[x]^2/(A*Sin[x] + 1)^4, {x, 0, 2*Pi}, GenerateConditions -> True]]] and got the output of Out[2]= {4.646*Second, If[Im[A] != 0 || A <= 1 && 1 + A >= 0, Pi/(1 - A^2)^(5/2), Integrate[Cos[x]^2/(1 + A*Sin[x])^4, {x, 0, 2*Pi}]]} Their answer has a condtion for A. When I input the same thing.. Timing[FullSimplify[Integrate[Cos[x]^2/(A*Sin[x] + 1)^4, {x, 0, 2*Pi}, GenerateConditions -> True]]] I get.. {63.6*Second, (Sqrt[(1 - A^2)^(-1)]*Pi)/(-1 + A^2)^2} I realize the default for GenerateConditions in version 3 is True, and I get the same answer if I do not include GenerateConditions -> True or I add it. However, i do not get the conditions in the output of.. If[Im[A] != 0 || A <= 1 && 1 + A >= 0 that the other person got. Could someone try it in version 3 to make sure my version 3 is working properly? Perhaps the other person was using version 4? I email the person, but am asking here incase they do not answer.