"Let $\displaystyle A$ be an integrally closed noertherian domain. Then

$\displaystyle A=\cap_{ht(p)=1} A_p$, where the intersection is taken over all prime ideals of height $\displaystyle 1$."

The above fact is true.

I want to find some counterexample when $\displaystyle A$ is not integrally closed.

Can you give it?