I am working out some computations in Yang-Mills theory and, in order to find the potential, I have to compute the following integral $ V(r)=\int_0^\infty dp\frac{p(a+bp^2)}{cp^4+dp^2+e}\sin(pr). $ I have thought to some techinques using residues with Cauchy theorem and Jordan's Lemma. I would appreciate any insight about.
Thanks.