Riemann Sum Visualizer

Watch the approximation converge to the true integral as you increase subdivisions

Function f(x)

Lower Bound (a)

Upper Bound (b)

Number of Rectangles (n) 10

Approximation Method

Example Functions

Riemann Sum

0.000000

Actual Integral (Numerical)

0.000000

Absolute Error

0.000000

Relative Error

0.00%

How it works: The Riemann sum approximates the definite integral ∫f(x)dx by summing the areas of rectangles. As you increase n (number of rectangles), the approximation converges to the true value of the integral. Try different methods to see how Left, Right, Midpoint, and Trapezoid rules compare in accuracy!