Which "Counter Strike" game that was? "1.6", "Source", "GO"?
And which IG did you use: Intel's HD, or AMD's APU?
Intel's HD aren't very powerful, but it can easily run games like StarCraft II at medium settings on 800x600 resolution, thus it's better suited for older video games (pre-2008 and older).
AMD's APU, on the other hand, is quite powerful and are quite well suited even for modern video games.
Also, Integrated Graphics can be OverClocked a little bit, so if you'll get higher frequency on IG core, of course you'll get better results than at default.
Anyway, "Counter Strike" isn't a very demanding game, so it's not surprising that you got that high FPS with just on-board graphics.