Intel HD 3000, integrated in Intel i5/i7 PCus is a really low-end graphics card. Can hardly be used to play anything more than flash or light-engine games. This is the main reason why is not even reported inside minimum requirements for a game.
In this article by AnandTech you can see how low are the performance of this card with games like Dragon Age : Origins, Call of Duty : Moder Warfare 2 and so on. I can reach 40/50 fps only at 1024x768 with low settings.
Anyway to answer your question, when you have doubt on a graphic card performance I suggest you to Google something as " Review"; there are a lot of sites that make very nice and deep performance reviews (Anandtech, Guru3D, etc.). Sometimes I use the database of PassMark to get a raw performance index of a certain graphic card. You can search an ATI/nVidia card that has the same score of HD 3000 and look if that cards are accepted as minimum requirements for the game.
Finally, playing a demo of the game before buying it, if you are not sure your graphic card can manage it, is always highly recommended.