### Home > PC > Chapter 2 > Lesson 2.3.7 > Problem 2-158

The area under the function on the interval from

Write the summation notation that will represent the area.

Sketch the function.

Draw

rectangles between and. What is the width for each rectangle? What are the

-values for the heights?;;;;; What expression needs to go into

to convert the integer values to, , , , , ? Write the summation now. Be careful with your

-values.Make a small change to your answer in part (a) so that the sum will find the area using right-endpoint rectangles.

What

-values should you start and stop with?Make a small change to your answer in part (a) so that the sum will find the area using midpoint rectangles.

Change the inside function to:

so that it is starting at the middle of each rectangle.