@OP AMD Radeon and Nvidia are discrete graphics, which means they are made for gaming. While the Intel HD is integrated, and usually is there for the likes of video editing (and possibly arcade games lol), which doesnt require a discrete and therefore more powerful video card.
I'll assume you are talking about game performance, if you aren't just ignore this,
The Intel Integrated Graphics HD 3000 is supposed to be suited for games but intel is the best CPU manufacturers not GPU's, But the HD 3000 can still actually run surprisingly well on a few games,
TESV SKYRIM: 25-37 FPS (Still looks pretty good) Dawnguard, Hearthfire Low Settings
XCOM:Enemy Unknown 29-42 FPS I was quite amazed Medium Settings
Minecraft 13-47 FPS Can be quite slow Optifine Low Settings
Any source Game: 60 FPS AMAZING Medium Settings
CS:GO 23-50 FPS Wow Medium settings
Fallout 3 17-31 FPS Aside from a few fps drops okay! Low settings
All these I HAVE PERSONALLY TESTED myself so these are accurate
(Tested using Intel core i5 2410m 2.3GHz with turbo boost to 2.9GHz, INTELHD3000 1760MB Dynamic vdeo memory, 4GB RAM 1333MHz,1336x768 resolution)
The NVIDIA/ATI graphics cards are more suited to gaming and can get INSANE AMOUNTS of fps, for silky smooth gameplay 60 FPS is the minimum, 30 is still good though!