I am sorry to hear that have had issues playing games on your computer with Intel HD Graphics 4000.
I have checked game compatibility for your graphics controller and Sykrim is playable. See below:
Make sure you have the latest video drivers for your graphics controller, filter by operating system version and download the driver for your computer:
Click the Windows icon, and then right-click Computer. Select Properties, Find System Type on the Properties window, and then note whether your operating system is 32-bit or 64-bit.