[R] Graphing the Area of Definite Integral
peter dalgaard
pdalgd at gmail.com
Fri Nov 27 15:20:16 CET 2015
Something like this?
f <- function(x) x^3-2*x
curve(f(x), from=0, to=4)
abline(h=0)
n <- 16
dx <- 4/n
right <- (1:n)*dx
left <- right - dx
mid <- right - dx/2
fm <- f(mid)
points(mid, fm)
rect(left,0,right,fm)
sum(fm*dx)
1/4 * 4^4 - 4^2
-pd
On 27 Nov 2015, at 13:52 , Steven Stoline <sstoline at gmail.com> wrote:
> Dear All:
>
> I am trying to explain to my students how to calculate the definite
> integral using the Riemann sum. Can someone help me to graph the area under
> the curve of the function, showing the curve as well as the rectangles
> between 0 and 4..
>
> *f(x) = x^3 - 2*x *
>
> over the interval [0 , 4]
>
>
>
> with many thanks
> steve
>
> --
> Steven M. Stoline
> 1123 Forest Avenue
> Portland, ME 04112
> sstoline at gmail.com
>
> [[alternative HTML version deleted]]
>
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--
Peter Dalgaard, Professor,
Center for Statistics, Copenhagen Business School
Solbjerg Plads 3, 2000 Frederiksberg, Denmark
Phone: (+45)38153501
Office: A 4.23
Email: pd.mes at cbs.dk Priv: PDalgd at gmail.com
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