Hi!
I have used Sage Cell Server to integrate the function (ln(x)^2 - 1) / (x *
ln(x)). It should resulted in (ln(x)^2) / 2 - |ln(ln(x))| + C, as noted by
my textbook and Wolfram|Alpha, but instead resulted in 1/2*log(x)^2 -
1/2*log(log(x)^2).
(I do notice that SageMath use log(a) to denote natural logarithm, so
that's not the question here).
Anyone knows why it happen? I think that this is a bug from some system
SageMath use to calculate this, but I am new to SageMath so have zero
knowledge about the system.
Here is the exact code I input:
var("x")
f = (log(x)**2 - 1) / (x * log(x))
integral(f, x)
Thanks in advance!
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