# How to Graph and Use the Results of Numerical Integration as a Function

I am a senior using my quarantine to learn geogebra and love what I've been able to do, but I have spent much time unsuccessfully trying to do something I suspect is simple. I have numerically integrated a function of the form: 1/(1/x^2+x+x^2)^.5. (It's the Friedman equation from general relativity and must be integrated numerically.) I want to graph the integral as f(x) and subsequently to use the resulting f(x) for additional calculations.

The only method I have found to graph it is using Locus(pointcreating, point). I get nothing from LocusEquation(Locus) and have not discovered another method for generating an equation. The integrand is singular for negative x and I have limited the range using If(x < 0, 0, integral()).

I would greatly appreciate any help,

Pete

Well did not knew that either

this?

Mathmagic, Thank you for responding. I am not certain how the freehand tool would provide me the accuracy that I need. For example, the integration over the very short interval from 0 to 1 leads to an estimate of the age of the universe and 4 significant figures is reasonable, The numerical integration over that interval is both accurate and precise enough, but I don't see how to achieve that same precision with the freehand tool. What am I missing?

Regards, Pete Willson

can you provide your current state (your applet with that numerical integration)?

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