Built-in video card and processor power.

Guys, Hello! The last days are interested in the question: does the fact of using the built-in graphics core to power the CPU, or they are completely independent and not related? At least theoretically, for the roar of a definite answer is not given (or I can't ask the question, more likely), and interesting topic.

PS: Just so torn what to connect a second monitor to the motherboard or to the graphics card, and as you know, connecting to the motherboard using integrated graphics card.

Thank you, peace to all and good night! :)