Towards Simpson's Rule
- Gareth Daniels
The filled red point can be moved to positive integer values of and integer values of . The unfilled point is restricted to the -axis but can be moved up and down. The unfilled point is dependent on but can be moved up and down. Task 1: Show that the equation of the parabola is . Task 2: Show that . Task 3: If all three points are translated so that , and , what happens to the area under the curve?