  We describe the point class and Todd class in the Chow ring of a quiver
moduli space, building on a result of Ellingsrud-Str{\o}mme. This, together
with the presentation of the Chow ring by the second author, makes it possible
to compute integrals on quiver moduli. To do so we construct a canonical
morphism of universal representations in great generality, and along the way
point out its relation to the Kodaira-Spencer morphism.
  We illustrate the results by computing some invariants of some "small"
Kronecker moduli spaces. We also prove that the first non-trivial
(6-dimensional) Kronecker quiver moduli space is isomorphic to the zero locus
of a general section of $\mathcal{Q}^\vee(1)$ on $\operatorname{Gr}(2,8)$.
