That ln(x) should be -1/x^2 ..
You should differentiate 1/x not integrate it ..
Deriviate:
arctan(1/x)
I use the chain rule and get:
(1/(1 + ((1/x)^2))) * ln(x)
= ln(x) / (1 + (x^2))
Is this solution correct? The book does not provide the answer, and I just want to make sure I understand the procedure.
Thanks in advance!