Integration Problem - Seeking Help to Identify Mistake(s)

[fran1942]

Hello, I have attempted to solve this integration problem ,but I am sure I have gone wrong somewhere.
Can someone please take a look and tell me my mistake(s). Then I will be able to see how to do it correctly.

Thanks kindly for any help.

 

[SammyS]

$$\int\frac{1}{u}\,du=\ln|u| + C$$

 

[Char. Limit]

Your problem is that even when you had 1/u du, you still took the integral with respect to x. Take it with respect to u and you should get ln|u|, which you can then back-substitute for x.