5.2 Integration & Anti-derivatives
Definite Integrals: Overview
Definition of Definite Integral: ∑ ∫
For a continuous function over the interval ], where∑ is called a Riemann sum.
Rectangles above the x-axis have positive areas and the ones below the x-axis have negative areas.
- Left side of the definition ∑ ]represents the total net area of the
rectangles under the function over the intervas .
- Right side of the defin[∫ion ]is the area under
o It is a number and not a fun