Behind every definite integral is a Riemann sums. Students need to know about Riemann sums so that they can understand definite integrals (a shorthand notation for the limit if a Riemann sun) and the Fundamental theorem of Calculus. Theses posts help prepare students for Riemann sums.

- The Old Pump Where I start Integration
- Flying into Integrationland Continues the investigation in the Old Pump – the airplane problem
- Working Towards Riemann Sums
- Definition of the Definite Integral and the FTC – a more exact demonstration from last Friday’s post and The Fundamental Theorem of Calculus – an older demonstration
- More about the FTC The derivative of a function defined by an integral – the other half of the FTC.
- Good Question 11 Riemann Reversed – How to find the integral, given the Riemann sum
- Properties of Integrals
- Variation on a Theme – 2 Comparing Riemann sums
- Trapezoids – Ancient and Modern – some history