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THE FEUTEX TOOLKIT

Two-Node Gauss Integration Panel

Combine function values at the two mapped Gauss–Legendre nodes of an interval.

Math workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaLeft Node = (a+b)/2-(b-a)/(2*sqrt(3)); Right Node = (a+b)/2+(b-a)/(2*sqrt(3)); Integral = (b-a)*(y1+y2)/2
Sources and model references

Made for real tasks

  • Combine function values at the two mapped Gauss–Legendre nodes of an interval.
Explore step-by-step workflows →

Worked example

Inputs

Interval start
0 number
Interval end
2 number
Value at left Gauss node
0.1786327949540818 number
Value at right Gauss node
2.488033871712585 number

Expected results

Left Node
0.4226497308 number
Right Node
1.577350269 number
Integral
2.666666667 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 interval start, interval end, value at left gauss node, value at right gauss node.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 0,
  "b": 2,
  "y1": 0.1786327949540818,
  "y2": 2.488033871712585
}

Accuracy and scope

Enter values evaluated at the reported Gauss nodes, not interval endpoints; exact for cubics.

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.