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Re: Problem: Integrate
*To*: mathgroup at smc.vnet.net
*Subject*: [mg33609] Re: [mg33589] Problem: Integrate
*From*: Andrzej Kozlowski <andrzej at tuins.ac.jp>
*Date*: Wed, 3 Apr 2002 18:08:12 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
It is a bug and a rather curious one, considering that:
In[1]:=
Integrate[ -1 + Cos[\[Theta]]^2 + Sin[\[Theta]]^2,{\[Theta], 0,a}]
Out[1]=
0
You will get the answer ComplexInfinity whenever one of the limits is an
integer multiple of Pi, e.g.
In[3]:=
Integrate[ -1 + Cos[\[Theta]]^2 + Sin[\[Theta]]^2,{\[Theta], 0,3Pi}]
Out[3]=
ComplexInfinity
but
In[4]:=
Integrate[ -1 + Cos[\[Theta]]^2 + Sin[\[Theta]]^2,{\[Theta], 0,3Pi/2}]
Out[4]=
0
Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/
On Wednesday, April 3, 2002, at 03:13 PM, Alexander Baehr wrote:
>
> Hello everybody,
>
> for
> Integrate[ -1 + Cos[\[Theta]]\^2 + Sin[\[Theta]]\^2,
> \ {\[Theta], 0, 2 \[Pi]}]
>
> I get the result
>
> ComplexInfinity
>
> though the result is obviously zero. The Calculation is OK if I remove
> one of the three terms, such that the result is no longer zero.
>
> Is this a bug?
>
> Thanks
> Alexander
>
>
>
>
>
>
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