1 | initial version |
With the algorithm set to mathematica_free
, Sage is returning the antiderivative even though you are asking for the improper integral. You can get the improper integral by doing the following:
f=integral(log(x)/(x^2 - 1),x,algorithm='mathematica_free')
limit(f,x=oo)-limit(f,x=0)
This returns pi^2/4.