On 1/9/21 8:24 PM, Ralf Hemmecke wrote:
> But what is the meaning of
> 
>                   log(- e x + 1)   log(- e x + 1)
>       %iint(e,x,- --------------,- --------------)
>                          e                x
> 
> ? It would be good to know (and best specified in the code) even if it
> is not intended to be visible to an enduser.
> 
> Ralf
> 

Hi Ralf,

Let the value of  %iint(v1,v2,...,vn,f1,f2,...,fn) be f,
then we have

D(f,v1)=f1
D(f,v2)=f2
...
D(f,vn)=fn

This can be seen from 'dviint' from liouv.spad.

If you trace 'postSubst' in 'integrat.spad', you can find
that these '%iint' are nested and can be solved recursively.

I already have some code to solve
integrate(polylog(3,x),x)
and
integrate(x^2*(a+b*log(c*x^n))*polylog(3,e*x),x)
But missing other corner cases which I don't know if we'll encounter later.

I'll post my code when I polish it more.

- Qian

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