Evaluating the glauert integral via complex contour integral

Abstract

[EN] Glauert¿s type integrals involve an improper integral of a trigonometric function which is unbounded at a given intermediate point of the interval of integration. In this paper we show a straightforward method to evaluate this relevant integral with application in Aerodynamics. Our method is almost a serendipity application of the residue theorem when we handle adequate Cauchy principal value contour integrals of holomorphic functions except at finitely many pole of order one located on the contour