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Home/Mathematics/Calculus/Trapezoidal Rule Calculator
Math CalculatorCalculus

Trapezoidal Rule Calculator

Approximate the definite integral using the trapezoidal rule. Divides the area into trapezoids for a more accurate estimate than basic Riemann sums.

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter comma-separated coefficients starting from the highest degree term.

The left endpoint of the interval.

The right endpoint of the interval.

More trapezoids give a more accurate result.

Formula & Methodology

How this calculator works

T ≈ Δx/2 · [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(xₙ)]

The trapezoidal rule approximates each subinterval as a trapezoid rather than a rectangle, averaging the function values at each endpoint.

Frequently Asked Questions

Common questions about this calculator

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