Exercitationes analyticae

English Title

Analytical exercises

Authors

Leonhard Euler

Enestrom Number

432

Fuss Index

127

Original Language

Latin

Content Summary

Euler shows, among other things, that 1 + 1/3³ + 1/5³ + 1/7³ + ... = π²/4∙log 2 + 2∙∫φlog(sin(φ)) dφ, with the integral being taken with bounds 0 and π/2.

Published as

Journal article

Published Date

1773

Written Date

1772

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 17, pp. 173-204.

Opera Omnia Citation

Series 1, Volume 15, pp.131-167.

Record Created

2018-09-25