E706 -- De novo genere serierum rationalium et valde convergentium, quibus ratio peripheriae ad diametrum exprimi potest
(On a new type of rational and highly convergent series, by which the ratio of the periphery to the diameter is able to be expressed)
Summary:
According to Eneström "Euler starts out with the identity ∫(2 + 2x + x2)/(4 + x2)] dx = arctan[x/(2 - x)].
Publication:
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Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 11, 1798, pp. 150-154
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Opera Omnia: Series 1, Volume 16, pp. 21 - 27
Documents Available:
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