trap {cmna}

Trapezoid method

Description

Use the trapezoid method to integrate a function

Usage

trap(f, a, b, m = 100)

Arguments

f

function to integrate

a

the a-bound of integration

b

the b-bound of integration

m

the number of subintervals to calculate

Details

The trap function uses the trapezoid method to calculate the integral of the function f over the interval from a to b. The parameter m sets the number of intervals to use when evaluating the trapezoids. Additional options are passed to the function f when evaluating.

Value

the value of the integral

See Also

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

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

Examples

f <- function(x) { sin(x)^2 + cos(x)^2 }
trap(f, -pi, pi, m = 10)
trap(f, -pi, pi, m = 100)
trap(f, -pi, pi, m = 1000)