Hi, two things 1. Maxima cannot evaluate limit of primitive function at infinity: 'limit(6*li[4](%e^x)-6*x*li[3](%e^x)+3*x^2*li[2](%e^x)+x^3*log(1-%e^x)- x^4/4,x,inf)
2. Sage does not understand the function li[4](exp(x)) http://maxima.sourceforge.net/docs/manual/en/maxima_14.html#Item_003a-li sage: maxima('li[1](x)').sage() -log(-x + 1) sage: maxima('li[2](x)').sage() polylog2(x) sage: maxima('li[3](x)').sage() polylog3(x) sage: maxima('li[4](x)').sage() --------------------------------------------------------------------------- TypeError Traceback (most recent call last) ...... TypeError: unable to make sense of Maxima expression 'li[4](x)' in Sage Back to the integral: ------------------------- Wolframalpha returns numerical approximation only Maple returns pi^4/(15) in Sage: ---------------------------------------------------------------------- | Sage Version 4.3.3, Release Date: 2010-02-21 | | Type notebook() for the GUI, and license() for information. | ---------------------------------------------------------------------- sage: numerical_integral(x^3/(exp(x)-1),0,Infinity) (6.4939394075015517, 2.7073822124476823e-06) sage: (pi^4/15).n() 6.49393940226683 Robert On 6 bře, 18:42, Oscar Gerardo Lazo Arjona <[email protected]> wrote: > Hey guys, what's wront with this integral? > > sage: integral(x^3/(e^x-1),x,0,oo) -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
