On Friday, January 16, 2015 at 1:52:29 AM UTC-5, William wrote:
>
> On Thu, Jan 15, 2015 at 10:44 PM, Nathann Cohen <[email protected] 
> <javascript:>> wrote: 
> > Hello, 
> > 
> >> I would recommend looking up what Maple and Mathematica (and Matlab) 
> >> do regarding their numerical integration API and summarizing each here 
> >> before making any decisions. 
> > 
> > If this is what it takes to fix this code as you think it should, then 
> > I must step back. While reviewing #17507 I wondered about this 
> > problem, but I am scared by the amount of time it would take me to 
> > learn about symbolics and integrations in Sage, and even more to 
> > compare our interface with softwares I never used (and for which I do 
> > not have a licence). Perhaps others, more versed in these domains, 
> > will know how to act. 
>
> Given the enormous amount of energy, focus and talent you have, I'm 
> surprised that you don't want to look at how other people solve these 
> API problems, e.g., [1] and [2].  I'm sorry if my suggestion to look 
> at them discouraged you.  It's definitely *only* a suggestion -- you 
> can certainly ignore it.    It's just been my experience that learning 
> from other resources and constantly fighting "not invented here 
> syndrome" is generally very beneficial to the Sage project.    Anyway, 
> I'm sure somebody else will pipe up soon. 
>
>
I should point out two things you will hopefully find helpful.

http://trac.sagemath.org/wiki/symbolics#Integrationtickets

In particular, http://trac.sagemath.org/ticket/2787 and 
http://trac.sagemath.org/ticket/7763 are already open for precisely this 
terrible situation.  No one (including me) has found the time and 
appropriate way to do this.  Note that we even have two different numerical 
integration methods - GSL and Maxima - with others no doubt available 
somewhere in components.  Anyway, I would read those to start off if you 
really want to do this.

Secondly, I didn't even know about the params, so I guess that would be 
useful to advertise better once it's fixed!

- kcrisman

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