Search Ctrl K
Home / Tools
THE FEUTEX TOOLKIT

Simpson Three-Eighths Panel

Integrate one cubic interpolating panel from four equally spaced function samples.

Math workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaIntegral = 3*h*(y0+3*y1+3*y2+y3)/8; Interval Width = 3*h
Sources and model references

Made for real tasks

  • Integrate one cubic interpolating panel from four equally spaced function samples.
Explore step-by-step workflows →

Worked example

Inputs

Sample spacing
1 number
First sample
0 number
Second sample
1 number
Third sample
8 number
Fourth sample
27 number

Expected results

Integral
20.25 number
Interval Width
3 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter sample spacing, first sample, second sample, third sample, fourth sample.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "h": 1,
  "y0": 0,
  "y1": 1,
  "y2": 8,
  "y3": 27
}

Accuracy and scope

Four equally spaced samples spanning three subintervals. Exact for cubics in exact arithmetic.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.