For being sanitary and easy to clean, an integrated sink can't be beat. A cultured marble integrated top and bowl will be inexpensive, but it's not a long term performer.

@Joseph Corlett, LLC what happens to a cultured marble integrated sink that makes it "not a long term performer"? Leaks? Scratches? We are having trouble with ours, due to mold/mildew growing inside the overflow outlet, so I'm wondering if that a common failure issue? Or is that something that happens to undermounted bathroom sinks, too?

I get calls to fix cultured marble regularly; nothing I can do when the gel coat layer is worn through. I have heard of mold and mildew in overflows, but I'd have to Google to get a solution. Whether the sink is integrated or undermounted has nothing to do with overflow performance.