English Title

Analytical exercises

Authors

Leonhard Euler

Enestrom Number

432

Fuss Index

127

Original Language

Latin

Content Summary

Euler shows that 1 + 1/33 + 1/53 + 1/73 + ... = π 2/4∙log 2 + 2∙∫ φ log(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

E432en.pdf (199 kB)
E432de.pdf (196 kB)
E432en.pdf (199 kB)

E432de.pdf (196 kB)

Included in

Mathematics Commons

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