1) Run the program CPU-Z to find the name of your CPU (or use other means) such as "System-> About" in WIndows... however I have Windows 10 so not sure what you'll see.
CPU-Z
http/www.cpuid.com/softwares/cpu-z.html
Then google the name plus "intel" and find a link like THIS:
http/ark.intel.com/products/81015/Intel-Core-i7-4510U-Processor-4M-Cache-up-to-3_10-GHz
*As you can see with the above link it does have a GPU.
2) ALTERNATIVELY:
a) shut down
b) remove video card
c) move monitor cable to motherboard
d) if iGPU exists should see an image (I don't know if a motherboard BIOS settings is needed to be changed or not as it varies)
e) if iGPU does exist for Intel then go to Intel driver section and download their tool to update drivers (will scan and update)
Other:
As said remove the ATI driver if you remove the card.
Other:
Do you get issues in the BIOS screen?
If the BIOS screen, usually "DEL" on bootup is stable then your issue in Windows might not be a defective video card... at that point we'd have to investigate further such as:
a) Boot to a Linux DVD and run off that, or
b) Find a SPARE DRIVE, shut down, unhook other drives and install a copy of Windows (or just start installing to see if any obvious issues).
Other:
If you have Windows 7/8.1, and this turns out to be a software issue you can't easily fix (not a defective graphics card) then it may be a good time to consider upgrading to Windows 10 though I'd plan that carefully...
Other:
I have an i7-3770K and my iGPU does NOT appear in my Hardware management either. Some people MAY have to make a change in their BIOS, whereas for other people it will just use the iGPU (if they have one) if no dedicated graphics card is detected.
DIAGNOSTICS:
www.memtest.org (may need to change BIOS boot order to boot to your DVD/USB)
*Many errors can be traced back to defective memory though screen artefacts usually indicate bad video memory which in your case would be on the HD5650. Usually but not always.