Chapter 31 of 46

Riemann Sums and the Definite Integral

Name: Riemann Sums and the Definite Integral
Description: Rectangles under a curve, more and thinner, until the sum stops changing: a limit again — and this time it builds a new object.

Rectangles under a curve, more and thinner, until the sum stops changing: a limit again — and this time it builds a new object.

Free12–16 min

By the end

Each chapter closes with capabilities, not topics. Watch for these.

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