  We find explicit and optimal upper bounds for the expected occupation density
for an It\^o-process when its drift and diffusion coefficients are unknown
under boundedness and ellipticity conditions on the coefficients. This is
related to the optimal bound for the expected interval occupation found in
Ankirchner and Wendt(2021). In contrast, our bound is for a single point and
the resulting formula is less involved. Our findings allow us to find explicit
upper bounds for mean path integrals.
