this post was submitted on 25 May 2025
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I am amazed at how convoluted your way to solve the first three equations is, but I applaud you for pulling through and solving the integral. That's where I chickened out, because I'd have had to look something up.
It's mainly the formatting and I wanted to "prove" it. It is easy to see that the bottles are 10 because 3B=30, so I was showing off. The integral I did have to look it up because I was thinking it was not converging as sin(x) never does. But then got distracted with a video of a guy doing the Feynman technique for the sin(x)/x part. So I just summarize it as "it is known..."