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Bottle, Burger, Beer, Hot Dog Viral Puzzle – Mind Your Decisions (mindyourdecisions.com)
submitted 1 year ago* (last edited 1 year ago) by joshg253 to c/math
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"As viral puzzles became popular, mathematicians joined the game too. Here’s a fun puzzle that has been widely shared."

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[-] delial 3 points 1 year ago

The first 3 lines are trivial, but it's been a while since I did any calculus. Would you use integration by parts for it?

Wolfram gives me:

spoiler5/2 🥧

[-] joshg253 3 points 1 year ago

Calculus was 20 years ago for me...

spoiler

[-] parsnip283874 2 points 1 year ago

I don’t think that would work. You just use the fact that the integral from negative to positive infinity of sin(x)/x is pi, so from 0 to infinity it is pi/2, which you can derive from using Feynman’s trick for computing weird integrals like these.

[-] delial 1 points 1 year ago

Ah, that's the trick I was missing. Thx!

this post was submitted on 09 Jul 2023
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