basic

Simpson's Rule Composite Integral Calculator

∫f(x)dx ≈ (h/3)[f0+4f1+2f2+…+4fn-1+fn] — composite rule.

Approximates a definite integral using the composite Simpson's 1/3 rule from a table of function values at equally-spaced points (up to 7 points).

Nadia Almasri By Nadia Almasri
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

∫ ≈ (h/3)[f0 + 4f1 + 2f2 + 4f3 + f4]; n must be even

In depth

Approximates a definite integral using the composite Simpson's 1/3 rule from a table of function values at equally-spaced points (up to 7 points).