simpson: A function that calculates the area under a curve based on...

Description Usage Arguments Value Note Author(s) References See Also Examples

View source: R/AUC.R

Description

A function that calculates the approximate value of the definite integral of a continuous function. In other words, it can help plot the area under the curve of the plotted function between two limits.

Usage

1
simpson(x, y)

Arguments

x

A vector of the values at which the function is to be plotted.

y

A vector with the values of the function at the corresponding x-values.

Value

A single numerical value of the approximate area under the curve generated with the x and y values.

Note

Compared to the trapezoidal algorithm, this is usually more accurate.

Author(s)

Douaa Mugahid

References

Hennion, P.E.(1962). Algorithm 84: Simpson's integration. Communications of ACM. 5(4), 208

See Also

trapezoid

Examples

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x <- seq(0:20)
y <- seq(0, 100, 1)
simpson(x,y)

RCASPAR documentation built on Nov. 1, 2018, 3:48 a.m.