Common Core · AP Calculus AB

CHA-5.C

AP Calculus AB, Unit 8 — Calculate volumes of solids of revolution using definite integrals: the disc and washer methods.

A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.

The skill that covers it

What a student should be able to do

  • Set up and evaluate a disc-method volume about the x-axis or y-axis.
  • Use washers for the region between two curves, including revolution about a line y = k.
  • Find the volume of a solid with square, semicircular or equilateral cross-sections on a given base.
  • Read a volume integral back to the region and axis that produced it.

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