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Parabola p created by tool "Parabola" by focus F and directrix d. Points A and B lying on p and set line h. How get area betwen p and h? Command "IntegralBetween(p,h,x(A),x(B))" not work with error "Illegal argument: Parabola p".
Files:
test.ggb
The same question 
The Integral command works with functions.
And your parabola is recognized by GeoGebra as a conic, moreover in implicit form.
You need to use functional notation like e.g. F(x)=x^2+2x+1 in order to us the related commands
See https://wiki.geogebra.org/e...
An aproximative surface is possible (in any position)
It helps to draw the area graphically and give a aproximative value to check the funcionaly formula.
Ok. How make b (polygon ABF) with parabolic segment a in one color, and c (polygon ABCD) without a in other color?
it's alway the same principle.
and
orPolygon(Join({{F}, Sequence(Point(p, k), k, PathParameter(A), PathParameter(B), (PathParameter(B) - PathParameter(A)) / 50)}))andPolygon(Join({{C, D}, Sequence(Point(p, k), k, PathParameter(A), PathParameter(B), (PathParameter(B) - PathParameter(A)) / 50)}))the AREA with great accuracy
theory in https://en.wikipedia.org/wi...
and the graph attached
Thanks!
If parabola set parametric, how get separate 0.53t^2-4.55t-2.92 and 2.28t^2+1.06t-0.35?
Activity without integration.
How set restriction corner_AFB<180 degrees?
see the dynamic definition of H
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