A:Answer Yes.
Left 4 Dead 2 originally came out in 2009. These are the minimum requirements for the game to run, ripped straight from Steam:
OS: Windows® 7 32/64-bit / Vista 32/64/XP
Processor: Pentium 4 3.0GHz
Memory: 2 GB RAM
Graphics: Video card with 128 MB, Shader model 2.0. ATI X800, NVidia 6600 or better
DirectX: Version 9.0c
Storage: 13 GB available space
Sound Card: DirectX 9.0c compatible sound card
Even with integrated graphics, you'll be fine.