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Trapezoidal Rule Calculator
Approximate a definite integral of ax^2 + bx + c using the trapezoidal rule.
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Approximate a definite integral of ax^2 + bx + c using the trapezoidal rule.
Trapezoidal Rule Estimator
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💡 Tip: T = h/2 x [f(x0) + 2f(x1) + … + 2f(xn-1) + f(xn)].
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2
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3
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4
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Quick Reference Guide
Trapezoidal Quick Guide
Typical values for reference.
| n (x² from 0 to 4) | Estimate | Exact | Error |
|---|---|---|---|
| 2 | 24.0000 | 21.3333 | 2.6667 |
| 4 | 22.0000 | 21.3333 | 0.6667 |
| 8 | 21.5000 | 21.3333 | 0.1667 |
| 16 | 21.3750 | 21.3333 | 0.0417 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Trapezoidal Rule Calculator FAQ
Answers to common questions about this calculator.
A method that approximates area under a curve with trapezoids.
Error falls with the square of the step size.
Yes, for linear functions.
Simpson rule is usually more accurate for smooth curves.