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Integrals & Riemann Sums Explorer

Interactive numerical integration and area visualization

Hover canvas for coordinates & sample evaluation

Integration Controls

Lower Bound (a) 0.0
Upper Bound (b) 3.0
Subintervals (N) 10
N = 1 N = 50 N = 100
Overlay Exact Area Curve Shading

Numerical Analytics Δx = 0.300

Exact Definite Integral: 6.0000
Riemann Sum Approximation (S_N): 5.5500
Absolute Error: 0.4500
Relative Error Percentage: 7.50%

Area Under the Curve Visualization

f(x) S_N Region