Animated convergence of Riemann sums to a definite integral as the partition refines
As the number of subdivisions in a Riemann sum increases, the approximation converges to the definite integral. This calculator lets you enter a function and watch the Riemann sum refine in real time, with the number of rectangles increasing to show the approximation approaching the exact value. The visualization makes the definition of the Riemann integral concrete and intuitive.
Controls: Click and drag to orbit, scroll to zoom.