Need some help with FTC problems. My calculus textbook defines the FTC in two parts:

Definition Part 1:

If

is a continuous function on

, then the function

defined by

where

is continous on

and differentiable on

, and

Definition Part 2:

If

is a continuous function on

, then

where F is any antiderivative of

, that is, a function such that

Whew, here are the problems I'm confused on...

Problem 1. Using Part 1 definition, find the derivative of the function:

Problem 2. Using Part 2 defintion, evaluate the integral:

Thanks a lot.