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math.calculus-riemann-sum Calculator
Approximates definite integrals using left, right, and midpoint Riemann sums with a variable number of rectangles, showing convergence to the true value. The Riemann sum demonstrates why integration is defined as the limit of a partition sum — visible as rectangles become infinitely thin.
Inputs
A
Reference formula or conversion factor shown for context.
B
Reference formula or conversion factor shown for context.
N
Reference formula or conversion factor shown for context.
K
Rate of energy transfer (W). P = V×I (electrical). P = F×v (mechanical). 1 horsepower ≈ 746 W.
Results
left sum
The arithmetic total of all input values.
right sum
The arithmetic total of all input values.
midpoint sum
The arithmetic total of all input values.
exact
Reference formula or conversion factor shown for context.