E589  Investigatio valoris integralis \(\int\! \frac{x^{m1}\,dx}{12x^k\cos\theta +x^{2k}}\) a termino \(x = 0\) ad \(x = \infty\) extensi
(An investigation of the value of the integral \(\displaystyle \int\! \frac{x^{m1}\,dx}{12x^k\cos\theta +x^{2k}}\), the term to be extended from \(x = 0\) to \(x = \infty\))
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. 5575

Opera Omnia: Series 1, Volume 18, pp. 190  208
 Reprinted in Institutiones calculi integralis 4, 1794, pp. 358378 [E589a], ed. tertia, 4, 1845, pp. 358378 [E589b]
Documents Available:
 Original Publication: E589
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