HomeCalculatorsSimpson's Second Rule - 4-Ordinate Integrator

Simpson's Second Rule - 4-Ordinate Integrator

Area under a curve sampled at four equally-spaced ordinates using Simpson's second (3/8) rule - used when ordinate count is a multiple of 3 + 1.

SimpsonIntegrationNaval Arch
Area
19.500

Formula, assumptions, and limits

Use Simpson-2 when dividing by three stations fits data better. Same order-3 accuracy as Simpson-1 but with 3 intervals instead of 2.

Symbol legend

SymbolMeaningUnitSource
Ordinatembody plan
Interval widthmstation spacing