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Area Under Curve Explorer

Riemann sums · definite integral · rectangles · area

Learning outcomeApproximate area with Riemann sums and observe convergence toward a definite integral.
Interactive model
Left Riemann sum36.6030
Exact integral41.6667
Absolute error5.0637
Learning focus

Increase the number of rectangles and watch the numerical approximation converge toward the exact integral.

Riemann sums approximate ∫₀ᵇ xⁿ dx