This document describes how to calculate the area under a curve using the rectangle method. The area is approximated as the sum of the areas of thin rectangles, where the number of rectangles n determines the width 1/n of each rectangle, and the height of each rectangle is given by the function f(x). The appropriate sums are set up to calculate the areas from x=0 to x=1 without evaluating the actual values.

1. Area Under a Curve (from x= 0 to x =1) Where n is the number of rectangles. 1/ n is the width of each rectangle. f(x ) is the height of each rectangle.

2. Set up the appropriate sums for the following areas, but do not evaluate them.