Let $X_t$ be a Squared Bessel Process ($BESQ$). Define $Y_t=∫_0^tX_sds$. Do we know whether $\lim_{t→∞}Y_t=∫_0^∞ X_sds$ is finite or infinite? Does it depend on $BESQ$ parameter?

Edit. It is obvious that $\int_0^{\infty}X_s ds = \infty$ when dimension parameter $\delta > 2$, since in this case $X_t$ is transient.