### Home > PC > Chapter 6 > Lesson 6.1.4 > Problem6-64

6-64.

Estimate $A(f(x) = \frac { 1 } { x },1 ≤ x ≤ 5)$ using $8$ midpoint rectangles. Use sigma notation to show the sum of the areas.

Determine the width of each rectangle.

$\frac{\text{length of interval}}{\text{number of rectangles}}$

Find the midpoint for each rectangle.

$x_{0} = 1.25, x_{1} = 1.75, ...$

Use sigma notation to show the sum of the areas of the $8$ rectangles.

$\displaystyle \sum_{n=0}^{7}\frac{1}{\text{(expression for }x_n\text{s})}$