E588 -- Investigatio formulae integralis \(\displaystyle\int \frac{x^{m-1}\,dx}{(1+x^k)^n}\) casu, quo post intagrationem statuitur \(x= \infty\)
(An investigation of the integral formula \(\displaystyle\int \frac{x^{m-1}\,dx}{(1+x^k)^n}\) in the case in which after integration it is set \(x=\infty\))
Summary:
According to the records, it was presented to the St.
Petersburg Academy on March 2, 1775.
Publication:
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Originally published in Opuscula Analytica 2, 1785, pp. 42-54
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Opera Omnia: Series 1, Volume 18, pp. 178 - 189
- Reprinted in Institutiones calculi integralis 4, 1794, pp. 346-357 [E588a], ed. tertia, 4, 1845, pp. 346-357 [E588b]
Documents Available:
- Original Publication: E588
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