The Sophomore's Dream

Manuel Eberl 🌐

April 10, 2022

Abstract

This article provides a brief formalisation of the two equations known as the Sophomore's Dream, first discovered by Johann Bernoulli in 1697:

∫01x−xdx=∑n=1∞n−nand∫01xxdx=−∑n=1∞(−n)−n

License

BSD License

Topics

Session Sophomores_Dream

Cite

× 
@article{Sophomores_Dream-AFP,
  author  = {Manuel Eberl},
  title   = {The Sophomore's Dream},
  journal = {Archive of Formal Proofs},
  month   = {April},
  year    = {2022},
  note    = {\url{https://isa-afp.org/entries/Sophomores_Dream.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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