I believe that only works on nvidia optimus laptops
Lucid can do it and Nvidia back in the 9xxx days could as could AMD was part of their power saving stuff. Frankly I don't know if the feature made the cut for desktops with the modern cards. But if that mobo has a Lucid chip on it , it definitely can.
Yes you can, but you really dont want to. Your GTX 660 should be more than capable of handling 2 monitors. You'll get better results and less problems this way, than you would using your onboard at the same time. If your 660 doesnt have another HDMI output just get a DVI to HDMI cableto go to your monitor.
If you're set on using the onboard, you'll probbably have to go into the BIOS an re-enable it, then possibly install the necessary driver. After that you should be able to manage the monitor connected to your onboard thru winows and the others thru nvidias software.
The igp should be enabled by default only on low end dells and such running like an h61 have I seen them make the igp inaccessible. The big point behind it is to give access to quicksync or three more displays beyond the 2-6 youll get out of a dedicated card.
And if he is doing something visually intensive on one monitor and something less intensive on the other splitting the load could make sense. But overall I agree running it them both off the gtx660 is the more realistic choice because the hd4000 is that much weaker that splitting the workload in that method is silly.
But it stands that what he asked can be accomplished.