An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

Abstract

Here we discuss the calculation of an integral containing the Bessel function J_0(r) and the modified Bessel function of the first kind I_1(r). The calculus is based on a function of J_0(r), I_1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals