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Text-Based Cheatsheet
Unit 8: Applications of Integration on one page, aligned to the 2026-2027 course. Made and checked by the Fiveable Content Team.
Unit 8 – Applications of Integration Cheatsheets
Unit 8: Applications of Integration Cheatsheets
Download the Unit 8 text-based cheatsheet, or make a visual cheatsheet for any Unit 8 topic in the format you study best with.
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Made for Unit 8 by Students
8.13 The Arc Length of a Smooth, Planar Curve and Distance Traveled
Standard
8.10 Volume with Disc Method: Revolving Around Other Axes
Standard
8.12 Volume with Washer Method: Revolving Around Other Axes
Standard
Unit 8: Applications of Integration, topic by topic
Each topic has a full study guide. See the whole unit.
- 8.1 Finding the Average Value of a Function on an Interval
- 8.2 Connecting Position, Velocity, and Acceleration of Functions Using Integrals
- 8.3 Using Accumulation Functions and Definite Integrals in Applied Contexts
- 8.4 Finding the Area Between Curves Expressed as Functions of x
- 8.5 Finding the Area Between Curves Expressed as Functions of y
- 8.6 Finding the Area Between Curves That Intersect at More Than Two Points
- 8.7 Volumes with Cross Sections: Squares and Rectangles
- 8.8 Volumes with Cross Sections: Triangles and Semicircles
- 8.9 Volume with Disc Method: Revolving Around the x- or y-Axis
- 8.10 Volume with Disc Method: Revolving Around Other Axes
- 8.11 Volume with Washer Method: Revolving Around the x- or y-Axis
- 8.12 Volume with Washer Method: Revolving Around Other Axes
- 8.13 The Arc Length of a Smooth, Planar Curve and Distance Traveled