Riemann Sum Visualizer | Calculus Laboratory

Function

Select Function f(x)

Integration Bounds

Lower Bound (a)

Upper Bound (b)

Partition Method

Subdivisions

Number of Rectangles (n) 10

Animation

Display Options

Show Grid

Show Exact Area

Riemann Sum

Exact Area

f(x) Curve

Riemann Sum

0.000

Exact Integral

0.000

Absolute Error

0.000

Relative Error

0.00%

∫₀³ x² dx ≈ Σ f(xᵢ*)·Δx

The Riemann sum approximates the definite integral by summing the areas of rectangles. As the number of subdivisions increases, the approximation converges to the exact value.