Upper and Lower Sums
Explore the area under the curve f(x).
Exploration Questions:
1) How does increasing the number of rectangles for the Upper Sum change the value for the area?
2) How does increasing the number of rectangles for the Lower Sum change the value for the area?
3) What can you do to make the Upper and Lower Sums more accurate? What can you do to make the Upper and Lower Sums more like the true value of the area under f(x)?
4) If there were an infinite number of rectangles computed in the Upper and lower Sums what would the results be?