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
∞∫2h−bbsinxexdx=∞∫010sinx2xdx=5∞∫0sinxxdx=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!
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
∞∫2h−bbsinxexdx=∞∫010sinx2xdx=5∞∫0sinxxdx=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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