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Unit 8 of 10

Applications of Integration

This unit applies definite integrals to real-world and geometric problems. Students find average values, accumulated change, areas, volumes, arc length, and distance traveled.

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UnitsLessons
  1. 04Contextual Applications of Differentiation7
  2. 05Analytical Applications of Differentiation12
  3. 06Integration and Accumulation of Change14
  4. 07Differential Equations9
  5. 08Applications of Integration13
  6. 09Parametric Equations, Polar Coordinates, and Vector-Valued Functions9
  7. 10Infinite Sequences and Series15
3 more units in the course outline
Units of AP® Calculus BC

Lessons

13 lessons in this unit

  1. 8.1Finding the Average Value of a Function on an IntervalPreview lesson
  2. 8.2Connecting Position, Velocity, and Acceleration of Functions Using IntegralsPreview lesson
  3. 8.3Using Accumulation Functions and Definite Integrals in Applied ContextsPreview lesson
  4. 8.4Finding the Area Between Curves Expressed as Functions of xPreview lesson
  5. 8.5Finding the Area Between Curves Expressed as Functions of yPreview lesson
  6. 8.6Finding the Area Between Curves That Intersect at More Than Two PointsPreview lesson
  7. 8.7Volumes with Cross Sections: Squares and RectanglesPreview lesson
  8. 8.8Volumes with Cross Sections: Triangles and SemicirclesPreview lesson
  9. 8.9Volume with Disc Method: Revolving Around the x- or y-AxisPreview lesson
  10. 8.10Volume with Disc Method: Revolving Around Other AxesPreview lesson
  11. 8.11Volume with Washer Method: Revolving Around the x- or y-AxisPreview lesson
  12. 8.12Volume with Washer Method: Revolving Around Other AxesPreview lesson
  13. 8.13The Arc Length of a Smooth, Planar Curve and Distance TraveledPreview lesson

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