Integrate

Jun 2009
186
5
Mars
integrate this please, (you can use log)

f from 2 to e+1. (x+7)/(x-1)dx

hope that makes sense, I am not too sure how to use Latex, haven't got time to go through the tutorials.
Thanks
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
integrate this please, (you can use log)

f from 2 to e+1. (x+7)/(x-1)dx

hope that makes sense, I am not too sure how to use Latex, haven't got time to go through the tutorials.
Thanks
The first thing I would do is divide: \(\displaystyle \frac{x+ 7}{x- 1}= 1+ \frac{8}{x- 1}\). To integrate \(\displaystyle \int_2^{e+1} \frac{1}{x- 1}dx\), let u= x- 1.