Chapter 6

Section 6.1

  • Lesson: A Complete Breakdown of Using Cross-Sections to Find Volume

  • Examples: Using Cross-Sections to Find Volume

  • Examples: Harder Volumes by Slicing

  • Lesson: Volume by the Disk Method

  • Examples: The Disk Method Around a Given Axis

  • Examples: The Disk Method Around a Line (not an Axis)

  • Lesson: The Washer Method

  • Examples: The Washer Method

  • Examples: The Disk vs Washer Method Around Different Lines and Axes

  • Examples: When Do You Need to Subtract to Find the Radius with Disk or Washer Method?

  • Examples: Help! I Have So Much Trouble Doing The Sketches!

Section 6.2

  • Lesson: Volume by Cylindrical Shells

  • Examples: Volume by Cylindrical Shells (with a trig/piecewise function)

  • Examples: Volume by Cylindrical Shells About 2 Different Lines

  • Examples: Volume by Washers and Cross-Sections vs Volume by Cylindrical Shells

  • Examples: Help! I Have So Much Trouble Doing The Sketches!

  • Summary: The Disk/Washer/Shell Methods: A Complete Overview of Formulas and Techniques + 12 Examples (long but if you are still getting disoriented, this should really help)

Section 6.3

  • Lesson: Intro to Using Integration for Arc Length and How the Formula is Derived

  • Lesson: Finding Arc Length when there is Discontinuous dy/dx

Section 6.4

  • Lesson: Areas of Surfaces of Revolution

  • Examples: Areas of Surfaces of Revolution

Section 6.5

  • Lesson: A Comprehensive Guide to Setting Up General Work by Variable Force Problems (pumps / leaky objects / pulling ropes) - this is a long video but I go through a ton of examples to really help you understand how to think about the setup of these problems

  • Lesson: Hooke’s Law and Work (lots of examples)

  • Lesson: Fluid Force on a Vertical Plate

  • Examples: More Fluid Force Examples