jjwonI think this monitor only has VGA, and DVI. You can easily get a converter from minidisplay to any of these. Multimonitor systems run off of discrete graphics, not integrated, assuming you are referring to laptops. With desktops it all depends but a lot of modern MOBO have onboard video.
jjwonur laptop should be fine running this if it has a mini display port on it. or the like. just get a dvi to mini display port adapter and you'll be fine. but please don't use VGA on this monitor, if you can get away from it.
im quite surprised this monitor doesn't come with hdmi or display port. very odd