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Formula

\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

f(x) =

Lower (a)

Upper (b)

Rectangles (n)10

Method

Riemann Sum