AP Unit 8: Applications of Integration

Find these readings by topic

This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:

Derivatives as rates of change →
Explain and estimate an instantaneous rate, decide when it exists, and interpret its signed units.
Motion, area, and volume →
Apply accumulation to motion, area, volume, and functional-curve length with justified signs, boundaries, and smooth pieces.
Parametric curves and vector motion →
Use coordinate rates and vector accumulation to describe planar motion, tangents, concavity, and distance along a specified trace.

Use accumulated rates, positive strip areas, and geometric slice areas to solve real problems with clear units and bounds.

Follow the topics below, then try the 30 unit problems before opening the separate step-by-step solutions.

This unit includes the shared AB core explicitly inside the BC book, with BC extensions where required. Each shared topic links to its AB source.