William Stein wrote:
> 2008/5/14 kcrisman <[EMAIL PROTECTED]>:
>   
>>
>> On May 14, 2:08 am, "Jurgis Pralgauskis"
>> <[EMAIL PROTECTED]> wrote:
>>     
>>> Hello,
>>>
>>> I made a sage flyer  with intro + examples
>>> for my uni students conference (but some professors also got 
>>> interested)http://popmokslas.projektas.lt/failai/python/atmintine/SAGE-matematin...
>>>
>>> what do you think of the examples?
>>> maybÄ— you could suggest some more short cases for useful highmath topics?
>>>
>>>       
>> This is really nice.  I could almost see printing out a big copy at
>> Staples and hanging it up somewhere.
>>
>> Just a couple things - there is some inconsistency on the right with
>> where the #'s appear and if they're bold-face, e.g. #"chronometras"
>> seems to be misplaced.  Also, do you need to explicitly invoke Maxima
>> for the improper integral (just wondering)?  You crammed so much good
>> stuff in I would hate to think there should be more, but maybe making
>> the Maxima stuff more concise would give room for a pictorial example
>> of the show3d or plot3d.
>>     
>
> Yes, do those "maxima integrals" as follows:
>
> sage: u,v=var('u,v'); e = sin(u+v)*cos(u)^3; e
> cos(u)^3*sin(v + u)
> sage: e.expand_trig()
> cos(u)^3*(cos(u)*sin(v) + sin(u)*cos(v))
>
>   

and the other one:

sage: x = var('x')
sage: f = 1/x^2
sage: f.integrate(x, 1, oo)
1

or just simply:

sage: (1/x^2).integrate(x,1,oo)
1


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