R: Integrate a Univariate Function f from lower to Vector-Valued...

Integrate {lazy.mat}

R Documentation

Integrate a Univariate Function f from lower to Vector-Valued x.

Description

Integrate a Univariate Function f from lower to Vector-Valued x.

Usage

Integrate(
  f,
  x,
  lower,
  subdivisions = 100L,
  rel.tol = .Machine$double.eps^0.25,
  abs.tol = rel.tol,
  stop.on.error = TRUE
)

Arguments

`f`	A function to be integrated
`x`	The value at which the integral of f is evaluated
`lower`	The lower limit of the integration
`subdivisions`	: See the help of native integrate function.
`rel.tol`	: See the help of native integrate function.
`abs.tol`	: See the help of native integrate function.
`stop.on.error`	: See the help of native integrate function.

Details

This function calculates, for i=1,2,...,length(x),
integrate( f, lower, x[i] )$value

In essence, it returns
unlist( lapply( x, function(x){ integrate( f, lower, x )$value } ) ).

Value

A vector containing the results.

Examples

func=function(x) x
x=0:10
lower=-10
res=Integrate( func, x, lower )
Print( x, res )

[Package lazy.mat version 0.1.6 ]