Why Replace u with Positive s in Integral Manipulation?

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SUMMARY

The discussion centers on the manipulation of integrals using dummy variables, specifically the transition from variable 'u' to 's'. The lecturer's choice to replace 'u' with a positive 's' rather than a negative 's' is clarified as a matter of convention, emphasizing that the specific letter used is inconsequential to the integral's evaluation. Ultimately, once the integral is evaluated, neither variable will appear in the final result, reinforcing the concept that dummy variables serve merely as placeholders during the integration process.

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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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  • Integral.jpg
    Integral.jpg
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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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