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 ∫ (dx/x)(x^n+p - 2xⁿcosζ + x^n-p)/(x²ⁿ - 2xⁿcosθ + 1) casu quo post integrationem ponitur vel x = 1 vel x = ∞

(An easy method for finding the integral of the formula ∫ (dx/x)(x^n+p - 2xⁿcosζ + x^n-p)/(x²ⁿ - 2xⁿcosθ + 1) in the case in which after integration it is put from x = 1 to x = ∞)

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

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Original Publication: E620

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E620 -- Methodus facilis inveniendi integrali huius formulae ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) casu quo post integrationem ponitur vel x = 1 vel x = ∞

E620 -- Methodus facilis inveniendi integrali huius formulae ∫ (dx/x)(x^n+p - 2xⁿcosζ + x^n-p)/(x²ⁿ - 2xⁿcosθ + 1) casu quo post integrationem ponitur vel x = 1 vel x = ∞