Calculus

Applications of Integral Calculus Video Review Lessons

The Average Value of a Function
• Finding the Average Value of a Function
Finding Volumes Using Cross-Sections
• Finding Volumes Using Cross-Sectional Slices
• An Example of Finding Cross-Sectional Volumes
Disks and Washers
• Solids of Revolution
• The Disk Method along the y-Axis
• A Transcendental Example of the Disk Method
• The Washer Method across the x-Axis
• The Washer Method across the y-Axis
Shells
• Introducing the Shell Method
• Why Shells Can Be Better Than Washers
• The Shell Method: Integrating with Respect to y
Arc Lengths and Functions
• An Introduction to Arc Length
• Finding Arc Lengths of Curves Given by Functions
Work
• An Introduction to Work
• Calculating Work
• Hooke's Law
Moments and Centers of Mass
• Center of Mass
• The Center of Mass of a Thin Plate