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

For the given function, write an expression using summation notation that will approximate the area under the curve for

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

*.*

*.*

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