[email protected] wrote:
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
FWIW, Mathematica gives the same as Maple.
In[1]:= Integrate[x^3/(E^x-1),{x,0,Infinity}]
4
Pi
Out[1]= ---
15
In[1]:= Integrate[x^3/(E^x-1),{x,0,Infinity}]
4
Pi
Out[1]= ---
15
In[2]:= N[%,100]
Out[2]= 6.4939394022668291490960221792470074166485057115123614460978572926647\
> 23697121813079341457815650199503
--
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
