I think that Intel graphics is gonna struggle, take a look at this page (look for game benchmarks scroll down a bit)
http://www.notebookcheck.net/Intel-HD-Graphics-4600.86106.0.html
the Intel HD Graphic 4600 got a score of 4580 on 3dmark11 while the ATI Radeon HD 5770 got 2640. My Graphics card got a score of 15280 compared and i run train fever with some lag too.
http://www.futuremark.com/hardware/gpu/ATI+Radeon+HD+5770/review
http://www.futuremark.com/hardware/gpu/Intel+HD+Graphics+4600/review