### Home > PC3 > Chapter 8 > Lesson 8.3.1 > Problem8-91

8-91.

Approximate $A\left(\frac{1}{x},1\le x\le5\right)$ using eight left endpoint rectangles. Use sigma notation to show the sum of the areas of the rectangles.

Determine the width of each rectangle.

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

Write an equation for the $x_{n}s$.

$x_{0} = 1$, $x_{1} = 1.5$, ...

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

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