Sunday, March 11, 2012

π = 4?


Clearly, something has gone wrong here. In my spare time and while trying to refresh my memory of integral calculus, I managed to mistakenly show that pi (3.14159...) is equal to 4. It took me quite a while to realize what my mistake was, though, and everyone else I showed it to was stumped as well. Can you find the error in this derivation?

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