many thanks steve
On Fri, Nov 27, 2015 at 9:20 AM, peter dalgaard <pda...@gmail.com> wrote: > 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 <sstol...@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 > > sstol...@gmail.com > > > > [[alternative HTML version deleted]] > > > > ______________________________________________ > > R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see > > https://stat.ethz.ch/mailman/listinfo/r-help > > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > > and provide commented, minimal, self-contained, reproducible code. > > -- > Peter Dalgaard, Professor, > Center for Statistics, Copenhagen Business School > Solbjerg Plads 3, 2000 Frederiksberg, Denmark > Phone: (+45)38153501 > Office: A 4.23 > Email: pd....@cbs.dk Priv: pda...@gmail.com > > > > > > > > > > -- Steven M. Stoline 1123 Forest Avenue Portland, ME 04112 sstol...@gmail.com [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
