Generally, if you want to play any games on a laptop, you should get a dedicated card. Integrated graphics are ok for movie watching and streaming video, but they tend to fall way short when it comes to games.
the mobile nvidia gt130 is a very capable card for the price. I have one in my HP and i'm able to run many games at close to max settings at 13xx by 768. (exact specs escape me right now.)
The Asus G51VX-RX05 is prolly the best gaming laptop for the price IMO. I chose the HP HDX 16-1370us because it had a better screen and looked better overall. You may want to check the acer aspire AS5739G-6132. IT has the nvidia gt130m but is about 750 US dollars.