Define curve by integral

tmelorc shared this question 2 years ago
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Let p(x) be a function for x in [0,1], for example p(x)=cos(x).

How to plot the curve given by a(t)=\int_0^t p(s)ds for t in [0,1], for example?

I suspect that Geogebra can not work with functions if the variable is not x.

Comments (1)


The specific example given can be done by using the CAS to find the indefinite integral of p(x), but in general, I don't see a simple way to do this.

The best workaround I can come up with is to create a list of points on the curve using the sequence function. If you need a continuous approximation of the curve, you can fit a polynomial to these points, and restrict the domain to a closed interval (which effectively gives a Taylor Polynomial approximation of the curve).

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