Integration and Cavalieri's Principle
Instructions
Use this dynamic activity to explore Integration and Cavalieri's Principle. Slide b and h to change the base and height of the red triangle. Drag the pink point (0, k) and observe the areas of different triangles with the same base and same height. You may also slide n to change the intervals.
Reflection Questions
How to approximate the area of the red triangle using LS(f) and LS(g)? What can you conclude from the approximation of the areas of different triangles with the same base and same height (How is Cavalieri's Principle being demonstrated using integration)?