Numerical Integration

Simpson's rule, trapezoid and midpoint on any function, with the error estimate.

Math & convertMathIntegration
Numerical Integration screenshot

Supported: + - * / ^ ( ) and the functions sin cos tan asin acos atan sinh cosh tanh exp log ln log2 log10 sqrt abs floor ceil round min max pow atan2. Implicit multiplication (2x) works. Press Evaluate.

Quadrature rules
RuleValueRel. err

Error columns compare against the Richardson-extrapolated limit, which is the standard way to estimate a true value without a closed form.

Convergence of composite Simpson's rule
Step refinement
Full report

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