[R] Graphing the Area of Definite Integral

[Steven Stoline]

many thanks

steve

On Fri, Nov 27, 2015 at 9:20 AM, peter dalgaard <pdalgd at 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 <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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> > 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.mes at cbs.dk  Priv: PDalgd at gmail.com
>
>
>
>
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>
>
>


-- 
Steven M. Stoline
1123 Forest Avenue
Portland, ME 04112
sstoline at gmail.com

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