### Home > PC3 > Chapter 5 > Lesson 5.2.1 > Problem 5-50

5-50.

The area under the curve on the interval from

*to*

*is to be approximated using ten left endpoint rectangles.*

Write the sigma notation that will represent the area.

Accurately sketch the function for

to.Draw

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

-values for the endpoints of the rectangles?Write a linear expression for the endpoints:

Substitute the linear expression you wrote in step 4 into the function for

. This will be the argument of your summation notation.Modify your answer in part (a) to calculate the area using right endpoint rectangles.

What

-values should you start and stop with?