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)].

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