- #1
amanda_ou812
- 48
- 1
Homework Statement
How do you integrate S x/(x-1) dx
Homework Equations
IBP
The Attempt at a Solution
I tried using Integration by Parts with u= x/(x-1) and dv = dx and that did not work out. Then I tried using u= 1/(x-1) and dv = xdx but that did not work either.
A google search said "Just use the substitution u = x+1, then replace dx with du and you get u+1/u = 1 + 1/u which you can integrate to give u + ln u, thus = x-1 + ln(x-1)". But I am pretty sure that you can't just add +1 to the numerator like that.
I also know that it can be done using tables but is there a way not to use tables? Did I do my integration wrong?
Thanks