Adaptive Integration

Description

Adaptive integration

Usage

1
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

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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)

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