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AP Calculus BC

Unit 8: Applications of Integration

6–9% of exam score

Average value, motion using integrals, area between curves, volumes by cross-sections and revolution, and BC-only arc length.

V=π∫ab[R(x)2−r(x)2]dxV = \pi \int_a^b \left[R(x)^2 - r(x)^2\right] dx

What this unit covers

  • Average value of a function

  • Area between curves

  • Volumes: cross-sections, discs and washers

  • Arc length (BC)

Other units in AP Calculus BC