Mathematics · University
Composite trapezoid approximation · formula reference
This is an approximation to the integral. For a convex quadratic it overestimates the exact area.
Formula
This is an approximation to the integral. For a convex quadratic it overestimates the exact area.
Tₙ = h[f₀/2 + Σfᵢ + fₙ/2]
Worked example
Use the composite trapezoidal rule with 9 equal panels for the integral of 9x² from 0 to 11. Round the final result to 4 decimal places if needed.
Panel width is 11/9. Sum the interior values with weight 1 and the endpoints with weight 1/2, then multiply by the panel width.
4017.6481
Prerequisites and checking
Algebra; calculus or linear algebra as appropriate to the topic. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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