Fundamental Theorem of Calculus
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.