This example was used in class to help introduce the basics of the Rectangle Method.

What happens to the approximate area when you increase the number of subintervals (rectangles)?[br][br]What point (left, midpoint or right) gives the most accurate approximation? (Try each type of point and increase the value of n until you get the best approximation).[br][br]Are there other shapes than rectangles that you think might be more accurate using smaller number of partitions?