Chapter 4.2, Problem 17E

a. Approximate the area under the following graph of $f\left(x\right)=\frac{1}{x^2}$ over the internal $\left[1,7\right]$ by computing the area of each rectangle to four decimal places and then adding.

b. Approximate the area under the graph of $f\left(x\right)=\frac{1}{x^2}$ over the internal $\left[1,7\right]$ by computing the area of each rectangle to four decimal places and then adding. Compare your answer to that for part (a).