Simpson Rule Integral Calculator

Approximate definite integrals of quadratic functions using composite Simpson's rule over an even number of intervals.

Quadratic a

Quadratic b

Quadratic c

Lower bound

Upper bound

Intervals n (even)

Core Formula

Integral ≈ h/3 [f(x0)+f(xn)+4Σf(odd)+2Σf(even)]

Use this for planning estimates and sanity checks.

Your Results

Calculated

Integral Estimate
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Primary output

Step Size h

Secondary output

Endpoint Sum

Verification metric

Method Status

Interpretation

Enter values and calculate to get scenario outputs.

This calculator is scoped for practical scenario analysis with concise outputs that are easy to compare.

Reference tools for checking steps, notation, and long calculations.

Cross-check intermediate values from the calculator above.

Plot relationships when symbols alone feel abstract.

Supports manual verification for diagrams and constructions.