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integrate.box {voronoi}

Integral over a rectangular region
Package: 
voronoi
Version: 
1.1

Description

Calculates the integral of a function over a rectangular region in the plane.

Usage

integrate.box(x.lims, y.lims, f = NULL, antideriv.x = NULL,
   antideriv.y = NULL)

Arguments

x.lims
A vector of length 2 describing the lower and upper limits of integration in the x-direction.
y.lims
A vector of length 2 describing the lower and upper limits of integration in the y-direction.
f
A function taking two arguments that is to be integrated over the specified region.
antideriv.x
A function taking two arguments that is the antiderivative of f with respect to x.
antideriv.y
A function taking two arguments that is the antiderivative of f with respect to y.

Details

Only one of f, antideriv.x, or antideriv.y need be specified. Specification of either of the antiderivatives yields more efficient performance by reducing the dimension in which integration is performed.

Values

The scalar result of the integration.

See Also

centroidal, polygon.adapt

Examples

func <- function(x, y) x + y^3
integrate.box(x.lims = c(0,4), y.lims = c(2,4), f = func)
 
antideriv.x <- function(x, y) x^2/2 + x*y^3
integrate.box(x.lims = c(0,4), y.lims = c(2,4), antideriv.x = antideriv.x)
 
antideriv.y <- function(x, y) x*y + y^4/4
integrate.box(x.lims = c(0,4), y.lims = c(2,4), antideriv.y = antideriv.y)

Author(s)

Travis A. Gerke

Documentation reproduced from package voronoi, version 1.1. License: GPL-3