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Saturday, November 26, 2016

Exercise from 9gag.com?

Problem:


http://9gag.com/gag/aVDxn1O

Solution:

Denote bottle by b

b+b+b=30, therefore b=10.

Denote the hamburger by h

b+h+h=20, therefore h=5

Denote the beer by e

h+e+e=9, therefore e=2.

Now here is the fun

2hbbsinxexdx=010sinx2xdx=50sinxxdx=5π2

The last integral is well known, for example, see:
http://math.stackexchange.com/questions/5248/solving-the-integral-int-0-infty-frac-sinxx-dx-frac-pi2

This video explains the Feynman trick!
https://www.youtube.com/watch?v=3LsXWPzlOhQ

Have fun!

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