About this Simulation

This simulation enables learners to visualise and compare two fundamental approaches to integration: the Riemann integral and the Lebesgue integral. By adjusting partitions, bounds, and sampling strategies, students explore how these methods differ conceptually and computationally, revealing why Lebesgue integration provides greater generality and power in modern analysis.

Learning objectives: Understand the geometric and analytical differences between Riemann and Lebesgue integration methods | Investigate how partition strategies and measure theory affect integral convergence | Apply interactive exploration to develop intuition for advanced calculus concepts