I didn't read each and every post here, but I did do a search for the word dedicated to see if anyone mentioned it... And did not find it... So, here's the opinion of a computer programmer and systems administrator - more important than whether your video is dedicated or not is video RAM. Most laptops for sale on the market now have "shared" video ram. That means that while you have say 2GB of RAM, really you don't. Most assume that the video has its own RAM, but if the specs say that the video ram is shared (often it will say something like 256MB (shared) video RAM) it means your video is using main memory. This means that your main ram sticks, while 2GB, are really only giving you 1.75 GB of use, because 256 of this is reserved for displaying video. Keep in mind also, that if using shared RAM, the work that the video card is doing is going through the same pipe as everything else, so video will actually slow you down. If you have dedicated video RAM, it doesn't have to go through the same pipe as everything else that uses RAM and it will be optimized for video.
IMHO, I would not buy a computer to use for any kind of graphics work if it didn't explicitly state that it has dedicated video RAM. Unfortunately, this is getting hard to find, and will probably cost you.