Key Takeaways
Lesson Description
Key Takeaways
• Integration calculates accumulated quantities.
• The area between curves is found using definite integrals.
• Volumes of solids can be calculated using cross sections or disks/washers.
• Average value of a function is determined using integration.
• Motion problems connect velocity, acceleration, and displacement.
Must Know Equations
Area Between Curves:
∫ab (Top−Bottom)dx
Average Value:
(1/(b−a))∫ab f(x)dx
Must Know Vocabulary
Area Between Curves
Volume
Cross Section
Average Value
Accumulation Function
AP Exam Focus
• Calculate area and volume using integrals.
• Apply integration to motion problems.
• Interpret accumulation functions.