For a Brownian motion $B(t)$ defined on $[0,1]$, the occupation measure for a Borel set $A$ is defined as
$$ \mu(A)= \int_0^1 1\{B(t) \in A \}dt$$
$\mu(A)$ denotes the amount of time $B$ spends in $A$. Theorem 3.26 of Morters and Peres shows that $\mu(A)$ is a continuous random variable.
Is it known what the moments are of $\mu(A)$? Even if $A$ is an interval? A literature search hasn’t turned up anything for me yet. Any help much appreciated.