I always hear contradicting advice about taking care of li-ion batteries.
This article (batteryuniversity.com) has more technical details than most.
Basically, it says that batteries last longer if you recharge them before letting them discharge all the way, batteries have a limited lifetime independent of how you charge it, and the worst thing for batteries is heat.
Apparently, heat is the main reason you might want to take the battery out while you're using the computer and it's plugged in.
You're not supposed to store LIon batteries completely discharged.
Of course, this site says LIon batteries can't be trickle charged while Dell says they can. It sounds like Dell's "trickle charge" may be what batteryuniversity describes as "topping off" - charging the last few percent of the maximum charge.