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AP Calculus BC
Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 3: Differentiation: 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 8: Applications of Integration
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
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Unit 10: Infinite Sequences and Series
AP/Calculus BC/Concept/Unit 8: Applications of Integration

Unit 8: Applications of Integration

Syllabus
2020
Section
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Level
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Exam analysis

Most tested topics

  1. Finding the Average Value of a Function on an Interval
  2. Connecting Position, Velocity, and Acceleration of Functions Using Integrals
  3. Using Accumulation Functions and Definite Integrals in Applied Contexts
  4. Finding the Area Between Curves Expressed as Functions of x
  5. Finding the Area Between Curves Expressed as Functions of y
  6. Finding the Area Between Curves That Intersect at More Than Two Points
  7. Volumes with Cross Sections: Squares and Rectangles
  8. Volumes with Cross Sections: Triangles and Semicircles
  9. Volume with Disc Method: Revolving Around the x- or y-Axis
  10. Volume with Disc Method: Revolving Around Other Axes
  11. Volume with Washer Method: Revolving Around the x- or y-Axis
  12. Volume with Washer Method: Revolving Around Other Axes
  13. The Arc Length of a Smooth, Planar Curve and Distance Traveled