How this calculation works
Estimate an integral directly from three equally spaced samples over one Simpson panel.
THE FORMULA
A = width × (left+4 middle+right)/6A worked example
The values of x² at 0, 1 and 2 give 2×(0+4+4)/6=8/3.
Good to know
The middle sample must be at the midpoint.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Estimate an integral directly from three equally spaced samples over one Simpson panel.
The primary result is labeled “Integral estimate”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The middle sample must be at the midpoint.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
The values of x² at 0, 1 and 2 give 2×(0+4+4)/6=8/3.
Which rule does this calculator apply?
A = width × (left+4 middle+right)/6