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

Here we discuss the calculation of an integral containing the Bessel function J₀(r) and the modified Bessel
function of the first kind I₁(r). The calculus is based on a function of J₀(r), I₁(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.