Fundamental Theorem of Calculus

[Joe_K]

Homework Statement

I am working on some problems with the fundamental theorem. I need to refresh my memory though, because I have forgotten exactly how to do these problems. I actually am not even sure if I use part 1 or part 2 of the FTC for these problems, so if you could help me in the right direction I would really appreciate it. Here is one of them

f(x) = ∫ from 1 to 2x of cube root(1+t^3)dt

Homework Equations

The Attempt at a Solution

 

[SammyS]

Homework Statement

I am working on some problems with the fundamental theorem. I need to refresh my memory though, because I have forgotten exactly how to do these problems. I actually am not even sure if I use part 1 or part 2 of the FTC for these problems, so if you could help me in the right direction I would really appreciate it. Here is one of them

f(x) = ∫ from 1 to 2x of cube root(1+t^3)dt

So, are you to find f(x)?
...
or find f '(x) ?
...
or what is the rest of the problem ?