On Friday, February 20, 2015 at 4:30:15 AM UTC+1, AMiT Kumar wrote:
>
>
> On Friday, February 20, 2015 at 3:48:25 AM UTC+5:30, Aaron Meurer wrote:
>>
>>  If someone has a copy of Maple, I'd be interested to see if the original 
>> pmint 
>> can do this integral.
>>
>
> Maple can't Integrate this, here is the result from Maple 18 :
>
> > int((x^2+2*x+1+(3*x+1)*sqrt(x+log(x)))/(x*sqrt(x+log(x))*(x+sqrt(x+log(x
> )))), x)
>
> int((x^2+2*x+1+(3*x+1)*sqrt(x+ln(x)))/(x*sqrt(x+ln(x))*(x+sqrt(x+ln(x)))), 
> x)
>

I think what Aaron meant was to try Bronstein's algorithm as implemented in 
Maple (`pmint`), see [1].

Vinzent


[1] http://www-sop.inria.fr/cafe/Manuel.Bronstein/pmint/

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