E620 -- Methodus facilis inveniendi integrali huius formulae int (dx/x)(x^(n+p)-2x^(ncos(z)+x^(n-p))/(x^(2n)-2(x^n)cos(Q)+1) casu quo post integrationem ponitur vel x = 1 vel x = ∞

E620 -- Methodus facilis inveniendi integrali huius formulae \( \int \frac{\partial x}{x}\cdot \frac{x^{n+p}-2x^n\cos \zeta + x^{n-p}}{x^{2n}-2x^n \cos \theta + 1}\) casu quo post integrationem ponitur vel \(x=1\) vel \(x=\infty\)

(An easy method for finding the integral of the formula \(\displaystyle \int \frac{\partial x}{x}\cdot \frac{x^{n+p}-2x^n\cos \zeta + x^{n-p}}{x^{2n}-2x^n \cos \theta + 1}\) in the case in which after integration it is put from \(x=1\) to \(x=\infty\))

Summary:

Publication:

Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 3, 1788, pp. 3-24
Opera Omnia: Series 1, Volume 18, pp. 265 - 290

Documents Available:

Original Publication: E620

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