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.