The Fundamental Theorem of Calculus

#incomplete

The fundamental theorem of calculus relates the concept of differentiation and integration together. The theorem consists of two parts.

• add graphical examples

Part 1: If the function is continuous on domain then the area under the function and the x-axis is:

proof above stuffs

Part 2: if the function is continuous on the interval and is an antiderivative of function , then:

proof above

See also mat1225notes_written for source.
https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus