functionals of Dirichlet process mixture

I want to solve (or simulate) /int f(x)G(dx) where f is a function(or phrase of x) and G is DPM(Dirichlet Process mixture prior). Muliere (1998) approximate this integral when G is DP, I dont know to approximate it when G is DPM. I can write it also

/int f dG = E_{G}(f(x))