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Integration example

Jun 3, 2011 at 9:29 AM
Edited Jun 3, 2011 at 2:39 PM

Hello,

I originally posted that I was having problems getting the Integrate function to compile or run for me. I have since discovered my problem and though I may as well enter my simple example on here.

Would anyone be so kind as to showing me and integration example. Say, perhaps the integral of r squared between 0 and 1?

I've had a go but I can't work out from the tool tip or documentation of what it expects. My useless attempt is pasted below!

            double result;
            Function<double,double> area = new Function<double,double>(result);

            Meta.Numerics.Functions.FunctionMath.Integrate(area, Interval.FromEndpoints(0, 1));

Many thanks and apologies if this has been asked or is available somwehere else. I have had a good look around and couldn't find anything.

The working example:

            Interval interval = new Interval();
            interval = Meta.Numerics.Interval.FromEndpoints(0.0, 1.0);

            // Function A = pi r^2
            int n = 2;
            Function<double, double> raw = delegate(double x) {
                return (Math.Pow(x, n));
            };
            double result;

           result = FunctionMath.Integrate(raw, interval);

If anyone has a neater way of doing this, please feel free to update!
Many thanks,
Cameron
Jun 4, 2011 at 6:29 PM
Edited Jun 4, 2011 at 6:29 PM

Your code works fine, but there is a much more compact way to write it in C#.

double result = FunctionMath.Integrate(x => Math.Pow(x, 2), Interval.FromEndpoints(0.0, 1.0));

We should add this example to our tutorial documentation.