Riemann Sum

College

Formula

∫abf(x) dx≈∑i=1nf(xi∗) Δx\int_a^b f(x)\,dx \approx \sum_{i=1}^{n} f(x_i^*)\,\Delta x

About

Approximate the area under any curve using rectangles. Choose left, right, or midpoint sampling, then drag the slider to increase n and watch the approximation converge to the true integral in real time.

Controls

Σ ≈ 7.695000
Rectangles (n)10

Method