Unit 6 · Integration and Accumulation of Change
Chapter 6.2
Riemann Sums and the Definite Integral
Rectangles under a curve, more and thinner, until the sum stops changing: a limit again — and this time it builds a new object.
12–16 min · free · lesson 31 of 46
By the end
- 01Compute left, right, midpoint, and trapezoidal approximations
- 02Determine over- or underestimates from monotonicity
- 03Express a limit of Riemann sums as a definite integral, and back
In unit 6
- 6.1Accumulation: The Other Half of Calculus10–14
- 6.2Riemann Sums and the Definite Integral12–16
- 6.3The Fundamental Theorem, Part 1: Accumulation Functions12–16
- 6.4The Fundamental Theorem, Part 2: Evaluating Integrals11–15
- 6.5Antiderivatives10–14
- 6.6Substitution11–15
- 6.7Harder Antiderivatives and Choosing a Technique11–15