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.

```

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