“As viral puzzles became popular, mathematicians joined the game too. Here’s a fun puzzle that has been widely shared.”

  • delial@lemmy.sdf.org
    3·
    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:

    spoiler

    5/2 🥧

    • Parsnip@lemmy.sdf.org
      2·
      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.