**Firstly:**Then, the desktop computers are much better than notebook computers since I noticed that almost all desktop computers have a graphics card integrated into motherboard, and another AGP slot to which an external stand-alone graphics
card can be installed.
So, in desktop computers, if the integrated graphics card got defective, I have another AGP slot to which I can install a stand-alone graphics card.
Also, if external graphics card was defective, then I can replace it without replacing the entire motherboard.
However, I noticed that laptops/notebooks(like mine) have a a discrete graphics card integrated into motherboard, and graphics card integrated into CPU, then if the discrete graphics card integrated to motherboard got defective, then I would need to replace
the whole motherboard. If the graphics card integrated into CPU got defective, I would replace the CPU.
Yes you would need to replace the motherboard, but there are some laptops that have removable graphics cards,
**Secondly: Could you please confirm this for me:**I noticed that there is a slight difference between desktop and notebooks.
In desktop computers, the internal graphics card is integrated into motherboard. However, in notebooks(like mine), the internal graphics card(called:internal GPU) is integrated
into CPU.
However, In desktop computer, the external stand-alone graphics card is discrete which can be installed into the AGP slot/PCI express.
However, in notebooks(like mine), the discrete graphics card(called discrete GPU) is integrated into motherboard.
Again: there are some laptops that have removable graphics cards,
Firstly: You think that my BIOS does not have this option of Switchable Graphics mode as well, although my motherboard is Hewlett-Packard? This is most strangE . My BIOS lacks many options,
although BIOS vendor is insyde H20 AY44 7578, and its motherboard is Hewlett-Packard?
Note this screen shot was taken from an article of how to Switchable Graphics mode in BIOS at HP support website.

No two computer manufacture's or even the same manufacture but a different model number may have the same BIOS options (Intel CPU vs AMD CPU)
Finally:(This is a little bit longer)
Although there is no option at all in my BIOS to set internal/Intel GPU to disable, I would like you to let me know:::
1- Why must I set that? If I had set that, then I could be no longer able to switch between graphics 'power-saving GPU, which is Intel GPU, and high-performance GPU, which is 'discrete GPU/HD6770.
I thought it would help keep the CPU running cooler.
2- I can switch between graphics (IGUP) and (DGPU) without seeing Switchable Graphics Mode in my BIOS
I am nearly sure that there is no option to set the Intel GPU to disable in my BIOS. I have tried that before(could you please take some time to look at my points below).
a) If that works for you then stick with it.
Firstly: if that option set the BIOS to disable the internal/Intel GPU and just use the HD6770. were available on my BIOS, and If I set it, then then how can I switch between the 'power-saving GPU, and high-performance
GPU?
You would not be able to.

Secondly: When you said 'Intel, You must set the BIOS to disable the internal/Intel GPU and just use the HD6770., you meant that with to change Switchable Graphics mode to fixed? Or this is difference option other than
this one which is below

If you are still having problems I would replace the fan.
Firstly: By the way, you don't reply to me if cleaning the old fan with that paint thinner would not let the fan function again as it is supposed? I will need to replace the fan with a new one even if the
physically outside form of the old fan is still fine and good.
As said before
I no longer have a new fan which can be compatible with my laptop, I have returned that new fan to the merchant. I have not used that new fan for two reasons, the first one I am NOT quite sure that that fan would be solve the problem with error 'the system
has detected a cooling fan is not operating properly..', the other one is since it would be costing me a lot (about $50 for just a fan, in eBay.com, the Fan/heatsink assembly is sold for $30), so I have returned it to the merchant, although I have hardly found
it in Yemen because HP Pavilion Notebooks parts are not sold in Yemen.
I have been still asking you about this utility to know if my fan is working well or not since the error 'The system has detected a cooling fan is not operating properly' appears to me again, after I have blown the old fan with a compressed air and cleaned
it with a paint thinner. Also, even I have cleaned the exterior vents in the heatskin/metal plate with the paint thinner and with compressed air. I.e. While dismantling my computer, I thoroughly removed dust from all internal cooling components. Also, I
ensured that wires from the system and CPU fans are connected to the motherboard securely.
It could be a defective fan speed sensor in the motherboard.
Yes, the fan blows air out, and the air is fairly warm, but the air blown out by fan is not very quickely. The fan is blowing warm air from the computer.
Note: I only applied new thermal compound on both of only the tops of CPU and GPU. I didn't cover the entire tops of CPU and GPU with new thermal compound since I only found that the old thermal compound was only put on the tops of CPU and GPU. It is not
put on the entire tops of CPU and GPU.
I take extra effort on my computers to ensure nearly the entire surface (excepts the edges) of the CPU has thermal paste to ensure the best heat transfer from the CPU chip to the Heat sink / Fan assembly.