Riemann Sums

Riemann sums estimate area by adding up many thin rectangles.

How the Idea Works

A Riemann sum divides a shape under a curve into rectangles. More, thinner rectangles usually make a better estimate.

Why It Helps

Riemann sums help explain how integrals work. They are named after mathematician Bernhard Riemann.

Fun Facts

  • A Riemann sum divides a shape under a curve into rectangles.
  • More, thinner rectangles usually make a better estimate.
  • Riemann sums help explain how integrals work.
  • They are named after mathematician Bernhard Riemann.

Did You Know?

Riemann Sums may sound advanced, but it is built from smaller ideas like patterns, slopes, totals, and careful reasoning.