The series of post leads up to the Fundamental theorem of Calculus (FTC). Obviously, a very important destination.

1. Working Towards Riemann Sums
2. 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
3. More about the FTC The derivative of a function defined by an integral – the other half of the FTC.
4. Good Question 11 Riemann Reversed – How to find the integral, given the Riemann sum. A problem that appears on the AP Calculus exams and can be confusing for students, at first.
5. Properties of Integrals
6. Variation on a Theme – 2 Comparing Riemann sums
7. Trapezoids – Ancient and Modern – some history.

Revised and updated October 22, 2018