Welcome to PF nameVoid.
Let's start by finding an anti-derivative (primitive)... you need something which will give you
[tex]\sqrt{x - 2} = (x - 2)^{1/2}[/tex]
when you differentiate it... can you make a wild guess?
Look at CompuChip's post again. He's not asking you to use the definition of the definite integral, but rather asking you if you can think of a function whose derivative is sqrt(x - 2).
IOW, d/dx(____) = (x - 2)^(1/2).
Can you fill in the blank?