Hi,

On Mon, Aug 19, 2019 at 04:24:10AM -0700, mmarco wrote:
> I have been working a bit on some functions to help students do integration 
> by hands. Under the hood, they use sympy's integral_steps function (see 
> [1]), but I am not sure which is the right way to present it. The options I 
> am considering are:
> 
> 1) Go full step-by-step integrations, in the spirit of sympygamma site (or  
> wolframalpha, if you have access to the pro version). In that case, I guess 
> returning a text (or html) stringwould be the sensible choice.
> 
> 2) Just show a hint for the next step to the student, something like:
> 
> sage: integration_hint(sin(x)*x, x)
> Integrate by parts, with u=x, dv=sin(x)dx. So integral(sin(x)*x, x) = x*cos(
> x)-integral(cos(x),x)
> 
> In this case, maybe we should return a specific class where the student can 
> get the expression to follow the computation by hand. Also, we could have 
> different display methods for different envirments (mainly, command line 
> and jupyter notebook)
> 
> So my questions are:
> 
> - Which option do you think would be preferable? Show the full step by step 
> solution, or just give hints as they are asked for?

If both are ready, why not having an option "step_by_step" or
"hint_only" (or whatever convenient).

Also, notice that "integration_hint" will break the tab completion of
integrate, so maybe it could be better to propose an option "hint=False"
to the existing integrate generic function (to be discussed, i do not
have strong opinion on that).

Ciao,
Thierry


> - In any case, which would be the right way to handle different 
> representations deppending on the environments? I assume that if we have a 
> specific class for this, it should have some __repr__, __latex__, and 
> __pretty_print__
> - Which would be the right place to put this code? I would say 
> sage.symbolic.integral, but some time ago someone mentioned the posibility 
> to create an education module, to put the different pieces of code that was 
> writen with for educational purposes.
> 
> What do you think?
> 
> 
> 
> 
> [1] https://docs.sympy.org/0.7.5/modules/integrals/integrals.htm
> 
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