5.4 Integration & Anti-derivatives
Indefinite Integrals: Overview
- The notation ∫ ( ) can be used to express the anti-derivative of , where the relationship is
established from the Fundamental Theorem of Calculus Part 1.
- It represents the entire family of functions whose derivative is .
- Therefore, the general indefinite integral includes the arbitrary constant factorat the end.
- Based on the Fundamental Theorem of Calculus Part 2, definite integral can be numerially
evaluated over the interval ]where ∫ ( ) ( ) ( ).
- This represents the net change in ( ) where the function can go in both directions.
- Therefore, this is also called the integral of the rate of change, also known as the Net Change