Chapter 8: Applications of Definite Integrals

Packets

Chapter 8.1-8.3 Packet Numbered.pdf
Chapter 8.1, 8.4-8.5 Numbered.pdf

8.1 Integral as Net Change

Mastery Objectives

  • Students will be able to solve problems in which a rate is integrated to find the net change over time in a variety of applications


Notes

8.1 Notes.pdf

Book Problems

#s 1,4, 9-16, 19, 23, 29, 30, 32

8.2 Areas in the Plane

Mastery Objectives

  • Students will be able to use integration to calculate areas of regions in a plane



Notes

8.2 Notes.pdf

Book Problems

#s 1, 4, 9, 10, 15, 27, 39, 46

8.3 Volumes

Mastery Objectives

  • Students will be able to use integration (by slices or shells) to calculate volumes of solids



Notes

8.3 Notes.pdf

Book Problems

#s 1, 2, 5, 7, 13, 18, 23, 28, 29, 33, 38, 50

8.4 Lengths of Curves

Mastery Objectives

  • Students will be able to use integration to calculate lengths of curves in a plane




Notes

8.4 Notes.pdf

Book Problems

#’s 5, 9, 11, 14, 19, 22, 24, 37

8.5 Applications from Science and Statistics

Mastery Objectives

  • Students will be able to adapt their knowledge of integral calculus to model problems involving rates of change in a variety of applications, possibly in unfamiliar contexts.


Notes

8.5 Notes.pdf

Book Problems

#’s 5, 8-10, 18, 20, 23, 30-32

Review

Review Practice

8.1-8.3 Review.pdf
8.4-8.5 Review.pdf

Answer Keys

8.1-8.3 Review Answers.pdf
8.4-8.5 Review Answers.pdf

Chapter Summary

8.1-8.3 Summary.pdf
8.1,8.4-8.5 Summary.pdf