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AP Calculus AB›Unit 8: Applications of Integration›Accumulation in context

Motion with Integrals

Integrate velocity for displacement and integrate speed for total distance. Add the starting position to get where an object ends up.

Displacement vs. distance
Position from velocity
Particle motion problems

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8Applications of Integration

Average Value of a Function
Motion with Integrals
Definite Integrals in Applied Contexts
Area Between Curves
Volumes with Known Cross Sections
Volumes of Revolution

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Definite Integrals in Applied Contexts

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Also called: particle motion integrals, total distance traveled, displacement