E432 -- Exercitationes analyticae
(Analytical exercises)
Summary:
Euler shows that 1 + 1/33 + 1/53 + 1/73 + ... =
p/4 log 2 + 2 ∫
0p/2
f
log (sin (f))
df.
According to the records, it was presented to the St. Petersburg Academy on May 18, 1772.
Publication:
-
Originally published in Novi Commentarii academiae scientiarum Petropolitanae 17, 1773, pp. 173-204
-
Opera Omnia: Series 1, Volume 15, pp. 131 - 167
Documents Available:
- Original publication: E432
- German translation (Artur Diener and Alexander Aycock): E432
- English draft translation (Alexander Aycock): E432.
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