What's on the AP Calculus BC Unit 8 practice test

The standard version takes about 78 minutes and follows the timing and directions of the AP exam, sized to one unit:

• 20 Multiple Choice Questions (48 minutes)
• 1 FRQ – FRQs – Graphing calculator required (15 minutes)
• 1 FRQ – FRQs – No graphing calculator (15 minutes)

Questions are drawn from 831 multiple-choice questions and 21 FRQs written for Unit 8, Applications of Integration.

Practice AP Calculus BC Unit 8 FRQs

Answer the unit's free-response questions one at a time and get a score on every part.

• FRQs – Graphing calculator required (7 questions)
• FRQs – No graphing calculator (14 questions)

Review Unit 8 before you start

• 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

Other AP Calculus BC unit tests

• Unit 1: Limits and Continuity
• Unit 2: Fundamentals of Differentiation
• Unit 3: Composite, Implicit, and Inverse Functions
• Unit 4: Contextual Applications of Differentiation
• Unit 5: Analytical Applications of Differentiation
• Unit 6: Integration and Accumulation of Change
• Unit 7: Differential Equations
• Unit 9: Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)
• Unit 10: Infinite Sequences and Series (BC Only)