On Saturday, October 21, 2017 at 10:52:48 PM UTC+1, Emmanuel Charpentier 
wrote:
>
> That doesn't tell us why Maxima thiks that this is a Cauch principal 
> value. In fact :
> sage: integrate(1/cos(theta)^2,theta)
> tan(theta)
> which I remind having learned when I was about 15...
>
> Maxima bug ?
>

Maxima's definite integration package appears to be a big mess,
and it's not being given a lot of attention.
There are dozens of bugs of this sort on their bug tracker.


> --
> Emmanuel Charpentier
>
> Le vendredi 20 octobre 2017 08:39:03 UTC+2, Ralf Stephan a écrit :
>>
>> The immediate reason is that maxima returns:
>> Principal Value
>> (%o4)                                  2
>>
>> and Sage since #7377 (7 years ago) catches "Principal Value" and makes it 
>> divergent.
>> See https://trac.sagemath.org/ticket/7377 for reasons this was 
>> introduced.
>> There are tickets that urge to fix this:
>>
>> https://trac.sagemath.org/ticket/13511
>> https://trac.sagemath.org/ticket/17608
>>
>> So it's a Sage bug in the Maxima interface.
>>
>> Regards,
>>
>

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