/* Wrapped headers reserve their own space when no height observer runs. */ body > header[data-site-header] { position: static; flex-shrink: 0; } body > main { padding-top: 48px; } html { scroll-padding-top: 24px; } .animate{ opacity:1; translate: var(--tw-translate-x) calc(var(--spacing) * 0); }

Access this content offline

/* Without scripts the menu button cannot open anything, so the links stay in view. */ [data-site-header] .site-menu-toggle { display: none !important; } [data-site-header] .site-navigation { display: flex !important; position: static !important; flex-direction: row !important; flex-wrap: wrap; flex-basis: 100%; border: 0 !important; box-shadow: none !important; padding: 0 0 8px !important; }

Skip to the reading

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 and geometric slices, justifying signs, boundaries, dimensions, and initial values.

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.

Course outline · Teacher guidance

Help & feedback