The given result is technically correct, since the limit is equal to pi^2 / 3. It seems that sage simply doesn't know how to evaluate the limit.
lør. 9. maj 2015 kl. 13.19 skrev Ruslan Abramchuk <[email protected]>: > sage 6.6 gives strange value of a rather common integral: > > integral(x/(exp(x)-1),x,0,Infinity) > > returns > > -1/6*pi^2 + limit(-1/2*x^2 + x*log(-e^x + 1) + polylog(2, e^x), x, > +Infinity, minus) > > when it is pi^2/6. > Similar situation with integral(x^3/(exp(x)-1),x,0,Infinity). > Numerical integration works properly. > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
