A land developer is planning to dig a small lake and build a group of homes around it. To estimate the cost of the project, the area of the lake 848 CHAPTER 13 Definite Integrals: Techniques of Integration Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. must be calculated from the proposed measurements (in feet) given in Figure 13.35 and in the data in the table. Use Simpson's Rule to approximate the area of the lake.

Width w(x) 100 300 200 200 300 400 400 Algae growth h. 10 20 30 40 50 60 70 80