Good day. I want to teach double integral using 3D GeoGebra as a tool.
I am trying to illustrate the following problem in GeoGebra.
$$ \int_0^{1}\Biggl\{\int_0^{\sqrt{x}} xy \;dy \Biggl\}\;dx $$
How can I graph the top surface of the solid over the given region?
I use the following entry to graph the top surface over the given region:
$$ 0\leq x\leq 1\ ; 0\leq y \leq \sqrt{x}$$
The upper curve is $u(x)=x$, and the lower curve is $l(x)=x^2$.
top=Surface(j,u(j)-l(k),f(j,u(j)-l(k)),j,0,1,k,0,1)
Here is the link to my output for your reference.
GeoGebra Double integral over a general region
However, the code only produces a top surface below the curve $u(x)$.