What Intel IGP do you have? The game seems to run on 4400, 4600, 5000... not ideal certainly but on low settings and reduced resolution they can be playable, according to reports on here. It was reported the 4600 was getting 20-30fps on medium and was fairly steady at 30fps on low, not sure what the resolution was but I would guess it was 1366x768.
HD4000... not so much but it does "run" I have tested it while pushing two monitors with a mobile 3230m. I got about 10fps at 1366x768. Oh I also put a single DDR3 4GB 1333 stick instead of the usual 2x4 8gb 1600 get that 10fps number. Maybe soemday I'll test it with the faster RAM, and not be pushing two external monitors; just use internal display.... maybe monday if it's slow.
I'm not interesting in a peeing match about who knows more about computers, just what you have currently that you want the game to run on.
BF3 used Frostbite2.... BF4, Hardline and PvZ uses Frostbite3.