Undergrad Why Replace u with Positive s in Integral Manipulation?

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The discussion centers on the manipulation of integrals using dummy variables, specifically the transition from variable u to positive variable s. It highlights that the choice of variable is arbitrary, as both u and s serve the same purpose in the integral. The lecturer likely opted for s to maintain consistency with earlier notation. Ultimately, after evaluating the integral, neither variable will influence the final result. Understanding this concept clarifies the flexibility in variable choice during integral manipulation.
Woolyabyss
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I was looking over my lectures notes and became stumped when the lecturer began manipulating an integral using a dummy variable. I've attached the integral below as a JPEG. I can follow the substitution up until the very end but am having trouble understanding why he replaced u with a positive s and not a negative s at the end.
Any help would be appreciated.
 

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u and s are dummy variables for the integral. It doesn't matter what letter is used. I suppose he used s at the end, since the dummy at the beginning was s. Once the integral is evaluated neither s or u will appear.
 
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