Hey guys, Can you help me prove this? Suppose that f:[a.b] -> R is integrable and that F:[a,b]->R is a differentiable function such thet F'(x)= f(x) for all x[tex]\in[/tex] [a,b]. Prove from the definition of the integral that; F(b)-F(a) =[tex]\int[/tex] f(x) dx ( integral going from a to b) I can prove this using the Fundamental theorem of calculus;however, this question specifically asks that we use the definition of integral to prove this: I'm thinking that I have to use the "partition" prepositions to prove this. Any ideas? Thank you in advance guys!