Unfortunately, you really cannot get decent performance from an Intel graphics chip for 3-D games. The reason is that Intel's graphics chips are integrated into your motherboard. Integrated graphics chips typically do not have the complex 3-D engineering that is required to power the graphics of games like F.E.A.R. Additionally, they steal RAM from your system to use as video RAM (VRAM), which delivers a performance hit to your system. For example, if you have 1024 MB of RAM, an integrated video system such as yours might be using 64 to 128 MB--and sometimes more--of that for video processing. That means your system only has, for example, 896 MB of RAM for running programs. Some integrated graphics systems, such as the ones made by nVIDIA for their nForce motherboards, are more powerful but are still inferior to a dedicated graphics card.
The good news is that if your computer has either an AGP or a PCI Express slot, you can find some decent dedicated graphics cards which will offer better performance. Even a PCI (note that this is NOT PCI Express) graphics card with 256 MB or more of dedicated memory is better than what you have. Go to http://www.tomshardware.com
; just today, they put up their recommendations for PCI Express video cards for every budget. Previous iterations of the same column deal with AGP video cards, as well; you should be able to find something that will greatly enhance your experience with F.E.A.R. without putting too big a hole in your wallet.