Maths & numbers

Trapezoidal integration with uneven spacing calculator

Integrate three unevenly spaced measurements by joining them with straight segments.

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Behind the numbers

How this calculation works

Integrate three unevenly spaced measurements by joining them with straight segments.

THE FORMULASum Δx × (left y+right y)/2 over adjacent pairs

A worked example

The first interval contributes 2 and the second contributes 12.

Good to know

The x-values must increase strictly.

Read the result

Integrate three unevenly spaced measurements by joining them with straight segments.

The primary result is labeled “Signed integral estimate”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

The x-values must increase strictly.

For a related exercise, try the quadratic equation solver.

A few questions, answered

How can I check the default inputs by hand?

The first interval contributes 2 and the second contributes 12.

Which rule does this calculator apply?

Sum Δx × (left y+right y)/2 over adjacent pairs

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