AP Calculus ABChapter 42 of 46
Integrals in Context: Motion and Accumulation
Not yet publishedplanned runtime 12–16 min
Unit 4 asked how fast; the integral answers how far — displacement versus distance, and any quantity that accumulates.
What this chapter covers
- recover position, displacement, and total distance from velocity
- interpret definite integrals of rates in applied contexts
- use the net change theorem with initial conditions