Dimostrazione che 22/7 è maggiore di π: differenze tra le versioni

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Riga 44:
 
avendo usato il fatto che arctan(1) = π/4 e arctan(0)=0.
==AppearanceApparizione innella the PutnamPutman Competition==
 
TheLa evaluationvalutazione ofdi thisquesto integralintegrale wasfu theil firstprimo problemproblema in thenel [[1968]] della [[William Lowell Putnam Mathematical Competition|Putnam Competition]]. If it seems trivially routine for a Putnam Competition problem, one may perhaps surmise that its inclusion was motivated by the conjunction of the punch line (summarized by the title of this article) with the fairly nice pattern in the integral itself.
 
==Link esterni==
Many years earlier, the result was given in D. P. Dalzell, On 22/7, Journal of the London Mathematical Society 19 ([[1944]]) 133-134.
*[http://www.kalva.demon.co.uk/putnam/putn68.html Il problema della Putman competition del 1968]
 
[[en:Proof that 22 over 7 exceeds π]]
==See also==
 
*[[Table of integrals]]
*[[Table of mathematical symbols]]
 
==External links==
*[http://www.kalva.demon.co.uk/putnam/putn68.html The problems of the 1968 Putnam competition], with this proof listed as question A1.
 
[[Category:Pi]]
[[Category:Proofs]]