E463 -- De valore formulae integralis \(\int \frac{z^{\lambda-\omega}\pm\, z^{\lambda+\omega}}{1\,\pm\, z^{2\lambda}}\frac{dz}{z}(lz)^\mu\) casu quo post integrationem ponitur \(z=1\)

(On the value of the integral formula \(\displaystyle\int \frac{z^{\lambda-\omega}\pm\, z^{\lambda+\omega}}{1\,\pm\, z^{2\lambda}}\frac{dz}{z}(lz)^\mu\) in the case in which after integration it is put \(z=1\))


According to the records, it was presented to the St. Petersburg Academy on October 3, 1774.

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