Integration Problem - Seeking Help to Identify Mistake(s)

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SUMMARY

The forum discussion centers on an integration problem involving the integral of 1/u with respect to u. The correct approach is to integrate with respect to u, resulting in ln|u| + C, rather than integrating with respect to x. The participant was advised to back-substitute for x after obtaining the correct integral. This highlights the importance of correctly identifying the variable of integration in calculus.

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fran1942
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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.
 

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[tex]\int\frac{1}{u}\,du=\ln|u| + C[/tex]
 
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.
 

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