adaptint {cmna}

Adaptive Integration

Description

Adaptive integration

Usage

adaptint(f, a, b, n = 10, tol = 1e-06)

Arguments

f

function to integrate

a

the a-bound of integration

b

the b-bound of integration

n

the maximum recursive depth

tol

the maximum error tolerance

Details

The adaptint function uses Romberg's rule to calculate the integral of the function f over the interval from a to b. The parameter n sets the number of intervals to use when evaluating. Additional options are passed to the function f when evaluating.

Value

the value of the integral

See Also

Other integration: gaussint(), giniquintile(), mcint(), midpt(), revolution-solid, romberg(), simp38(), simp(), trap()

Other newton-cotes: giniquintile(), midpt(), romberg(), simp38(), simp(), trap()

Examples

f <- function(x) { sin(x)^2 + log(x) }
adaptint(f, 1, 10, n = 4)
adaptint(f, 1, 10, n = 5)
adaptint(f, 1, 10, n = 10)