Is it possible to integrate x^(-1)?

Is it possible to integrate x^(-1)? Surely you'd then end up with x^0/0 which is undefined... this is purely because I'm a geek and curious :') I'm doing AS maths in my first year of Sixth Form so I haven't really done much beyond basic integration so far. Is it something to do with the graph oy y=x^(-1) having asymptotes at x and y=0?