### Home > CALC > Chapter 2 > Lesson 2.1.3 > Problem 2-40

For the given function, write an expression in summation notation that will approximate using eight rectangles. Specify if you use left, right, or midpoint rectangles. Then enter this summation expression into your graphing calculator and evaluate the approximate area.

Recall problem 2-17:

i. For left-endpoint and midpoint rectangles, let the index start at .

For right-endpoint rectangles, let the index start at

*.*

*number of rectangles.*

ii. The

To determine the width of each rectangle, divide the domain by the number of rectangles:

iii. The transformed function represents the HEIGHT of each rectangle.

For left- and right-endpoint rectangles, the heights are represented by .

For midpoint rectangles, the heights are represented by

*starting value*