<a href="http://cyri.systemrequirementslab.com/CYRI/">System Requirements Lab</a>. Go there, select Starcraft II from the dropdown box (I just checked, it's there) and click yes on the security box that pops up. It'll download a tiny little file that will check your system's specs, and check those against the minimum requirements. Very good service.

Like I said though, it's very unlikely to work to an acceptable level of performance, even at the lowest settings. Integrated graphics are bad. Integrated graphics on a laptop are worse.

Also, just in case it wasn't clear, it's your graphics capability that's the problem, not the ram. Don't buy any more just for this game.