How to evaluate definite integrals

[nameVoid]

 

[CompuChip]

Welcome to PF nameVoid.
Let's start by finding an anti-derivative (primitive)... you need something which will give you
$$\sqrt{x - 2} = (x - 2)^{1/2}$$
when you differentiate it... can you make a wild guess?

 

[nameVoid]

using the definition

im not clear on how to expand the expression to distribute the sum

 

[Mark44]

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?

 

[NoMoreExams]

Why don't you just do a subst. u = x - 2?