Research Workbench

Sampled trajectory trapezoid calculator

Integrate a sampled trajectory using stated coordinates and trapezoidal areas.

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Use comma-separated finite numbers on two lines. Magnitudes must be at most 1e9 and at least 1e-12, or zero.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Total area
9
Interval areas
3, 6
Intervals
2

How to interpret the output

Adds trapezoids between observations using linear interpolation. Time and height units multiply in the area. Long gaps and unobserved peaks can bias the approximation; no extrapolation is performed. Source checked 14 November 2026.

Method reference

Read the worked guide and interpretation examples →