Riemann Sum Calculator — सूत्र

## Riemann Sums

### Concept

A Riemann sum approximates the area under a curve by dividing the interval into rectangles:

1. Divide [a, b] into n equal subintervals, each of width Δx = (b-a)/n
2. For each subinterval, evaluate the function at the left endpoint
3. Sum the areas: S = sum of f(xᵢ) × Δx

### As n → infinity

The Riemann sum converges to the exact definite integral. More rectangles = better approximation.