Section 5.1 Read the entire section.  Then read Example 1 again.  Answer the following questions.  Send an e-mail with subject line MA251 to selliott@utm.edu .

1) Two of the approximations used in this section are Ln and Rn.  Fill in the blanks:  Rn uses ______ rectangles whose heights are found with _____ _____ .  

n, right endpoints

2) Consider Example 2 and Figure 7.  What is the area of the region between the graph of f(x) = x^2 and the x axis from 0 to 1?

1/3

3) What is the sum of 1^2 + 2^2 + 3^2 + . . . + n^2 ? 

[n(n+1)(2n+1)]/6