Intrusions can take place from both authorized (insiders) and unauthorized (outsiders) users. My personal experience shows that unhappy user can damage the system, especially when they have a shell access. Some users are little smart and removes history file (such as ~/.bash_history) but you can monitor all user executed commands.
It is recommended that you log user activity using process accounting. Process accounting allows you to view every command executed by a user including CPU and memory time. With process accounting sys admin always find out which command executed at what time 
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