An easy method for finding the integral of the formula $\int (x^{n+p}-2x^n\cos \zeta +x^{n-p})/(x^{2n}-2x^n\cos \theta +1)dx/x$ when the upper limit of integration is $x=1$ or $x=\infty$

Leonhard Euler, Jacques Gélinas

This is a translation of an article presented by Leonhard Euler on 18 March 1776 (Opera Omnia I-XVIII, pp. 265-290) and of summaries for it by Siméon Denis Poisson in 1820 and by H…