posted by Bradley on .
Hi, I needed help with this improper integral.
lower limit : 2
upper limit : infinity
integral of (lnx)/(x+1) dx
Thank You so much :D
I saw this question and have not been able to get a handle on it
we know that ln(x) has an expansion formula
but it only good for |x-1| < 1
so we could create a series of terms
= 1/(x+1) ( (x-1) - (x-1)^2 /2 + (x-1)^3 / 3 - .... )
but to integrate each term would be a mess
- even Wolfram, usually very dependable, could not handle it.