About this Simulation

This interactive simulation visualises the Riemann integral by allowing learners to explore how upper and lower sums approximate the area under a curve. By adjusting partition intervals and observing convergence as intervals decrease, students develop intuitive understanding of integral limits and the fundamental concept underlying definite integrals.

Learning objectives: Understand how Riemann sums approximate definite integrals | Visualise the relationship between partition width and approximation accuracy | Explore the convergence of upper and lower bounds to the true integral value