I wouldn't think the i5 or the i7 would be the problem but the Intel 4400 integrated graphics. But saying that I have been pleasantly surprised but what it is capable of. I have played Civ V runs great, Skyrim mid settings, and Borderlands 2 low settings, also been playing quite a bit of minecraft. So it probably is possible to run the games you mentioned. But to run them on ultra graphic settings, not likely. Maybe low or mid graphic settings. But to know for sure if they are playable "Check the requirements for the games" just like N_LaRUE said. Use the Passmark benchmark to compare video cards and CPUs.
Hope this is helpful!