Unit 8 Topics (College Board AP® Calculus AB): Revision Note

8.1

Finding the Average Value of a Function on an Interval

• Average Value of a Function

8.2

Connecting Position, Velocity, and Acceleration of Functions Using Integrals

• Position, Velocity & Acceleration

• Distance & Speed

8.3

Using Accumulation Functions and Definite Integrals in Applied Contexts

• Definite Integrals as Accumulated Change

8.4

Finding the Area Between Curves Expressed as Functions of x

• Area Between a Curve & x-Axis

• Area between a curve & y-axis

• Area Between Two Curves

8.5

Finding the Area Between Curves Expressed as Functions of y

• Area Between a Curve & x-Axis

• Area between a curve & y-axis

• Area Between Two Curves

8.6

Finding the Area Between Curves That Intersect at More Than Two Points

• Multiple Areas

8.7

Volumes with Cross Sections: Squares and Rectangles

• Volumes from Areas of Known Cross Sections

• Squares as Cross Sections

• Rectangles as Cross Sections

8.8

Volumes with Cross Sections: Triangles and Semicircles

• Volumes from Areas of Known Cross Sections

• Triangles as Cross Sections

• Semicircles as Cross Sections

8.9

Volume with Disc Method: Revolving Around the x- or y-Axis

• Disc Method Around the x-Axis

• Disc Method Around the y-Axis

8.10

Volume with Disc Method: Revolving Around Other Axes

• Disc Method Around Other Axes

8.11

Volume with Washer Method: Revolving Around the x- or y-Axis

• Washer Method Around the x-Axis

• Washer Method Around the y-Axis

8.12

Volume with Washer Method: Revolving Around Other Axes

• Washer Method Around Other Axes