## 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:
• Originally published in Opuscula Analytica 2, 1785, pp. 42-54
• 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