i7 doesn't have gpu built in. Look for i3. The motherboard has to be with H55/57 chipset.
none of the i7's have integrated graphics built in integrated graphics.
You'll need a core i3 or i5 6xx on a h55/57 platform.
To have a core i7, you'll need a graphic card with it.
For an HTPC, i think the core i7's would be way more power than what you need. If you list a budget, we could find parts for you that gives you the power you need, and saves you a lot money.