English Title

Analytical exercises

Authors

Leonhard Euler

Enestrom Number

432

Fuss Index

127

Original Language

Latin

Published as

Journal article

Published Date

1773

Written Date

1772

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.

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

Included in

Mathematics Commons

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