Unit 08 - Applications of Integration

Concept Index

Basic ApplicationsAreaVolumeMisc.

• 8.1 Finding the Average Value of a Function on an Interval
• 8.2 Connecting Position, Velocity, and Acceleration Using Integrals
• 8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts

• 8.4 Finding the Area of a Region Between Curves That Intersect at Two Points
• 8.5 Finding the Area of a Region Between Curves That Intersect at More Than Two Points
• 8.6 Area Between Curves Expressed as Functions of \(y\)

• 8.7 Finding Volumes with Cross Sections: Squares and Rectangles
• 8.8 Finding Volumes with Cross Sections: Triangles and Semicircles
• 8.9 Volume with the Disc Method
• 8.10 Volume with the Disc Method: Revolving Around Other Axes
• 8.11 Volume with the Washer Method
• 8.12 Volume with the Washer Method: Revolving Around Other Axes

• 8.13 The Arc Length of a Curve and Distance Traveled (BC Only)