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AP Calculus AB

Unit 8: Applications of Integration

10–15% of exam score
Where you are No tests yet
A timed sectional mock on this unit

Average value, motion from velocity, accumulated change, area between curves and volumes by cross-sections and revolution.

Key formula
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

  • Position, velocity and total distance

  • Area between curves

  • Volumes by cross-sections, discs and washers

Other units in AP Calculus AB