basic

Midpoint Rule (Single Interval) Calculator

Approximate ∫ₐᵇ f(x) dx with one rectangle.

Approximate the definite integral ∫ from a to b of f(x) dx with a single rectangle of width (b − a) and height f((a + b)/2).

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

I ≈ (b − a) · f((a + b) / 2)

In depth

Approximate the definite integral ∫ from a to b of f(x) dx with a single rectangle of width (b − a) and height f((a + b)/2).