AP Calculus ABChapter 31 of 46
Riemann Sums and the Definite Integral
Not yet publishedplanned runtime 12–16 min
Rectangles under a curve, more and thinner, until the sum stops changing: a limit again — and this time it builds a new object.
What this chapter covers
- compute left, right, midpoint, and trapezoidal approximations
- determine over- or underestimates from monotonicity
- express a limit of Riemann sums as a definite integral, and back