A:Answer Integrated graphics would not allow for 4k output. You might rig it but you would notice such a performance loss that you wouldn't likely be able to do anything. Your best bet is to switch the screen to 1600x900, which is what I have it on. 1360x720 was too large for me to effectively work.
4k output for PC is still fairly new, so you would definitely need a more advanced dedicated graphics card. Since this has no dedicated graphics, you would not be able to run at 4k without locking up your laptop.