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Chapter 7 – Area, Volume, and Arc Length

# Lesson 1 – Area Between Two Curves

# Lesson 1 – Area Between Two Curves (Part 2)

# Lesson 2 – Volume of Solids of Revolution: Disk and Washer Methods

# Lesson 2 – Volume of Solids of Revolution: Disk and Washer Methods (Part 2)

# Lesson 2 – Volume of Solids of Revolution: Disk and Washer Methods (Part 3)

# Lesson 3 – Volumes of Solids with Known Cross-Sections

# Lesson 4 – The Shell Method

# Lesson 5 – Arc Length and Surface Area

# Lesson 6 – AB and BC Exam Practice Problems

This Chapter starts with a master class in how to find the area of a bounded region and the area between two curves. Next, you will make simple work of how to set up and solve integrals to find the volume of solids of revolution using the Disk and Washer methods. From there you will see the beauty of simple geometry come alive when you master finding volumes of solids with cross-sections. You will then rock how to find volumes of solids of revolution using the Shell Method. After this, you will explore the concepts of arc length and surface area. The chapter wraps up with original AB and BC free response questions that incorporate many of the above topics. Time to see how basic geometry with a little Calculus can make for some awesome concepts!

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