Abstract: The finite real spectral triples can be classified up to unitary equivalence according to Krajewski diagrams, and if each data except the Dirac operator $D$ of a finite real spectral triple is fixed, which is called a "fermion space", then it is easy to show that the set $\mathcal{G}$ of all the Dirac operators over this fermion space forms a vector space. If $\mathcal{G}$ is enriched with some measure, then we can consider the integral over $\mathcal{G}$. Here I am going to consider only a special kind of finite real triple: the type $(p, q)$ fuzzy space. And I will try to compute the integral $\int_{\mathcal{G}}e^{-\mathrm{Tr}D^{2}}\mathrm{d}D$ for the easiest type $(1, 0)$ fuzzy space.