Question: How do I define any Surface to use with the SurfaceInt command besides the ones given in the examples like Sphere, Box, etc?


I am trying to learn how to use SurfaceInt in the VectorCalculus package to check my work on the even numbered problems in my Calculus book.

I can't seem to figure out how to define any surface in general.

One example in the help page is

SurfaceInt(1, [x, y, z] = Surface(<r, s, t>, s = 0 .. Pi, t = 0 .. 2*Pi, coords = spherical)) assuming (0 < r)

I can decode this one but can someone tell me what the word Surface is supposed to be? I think the surface is defined parametrically.  I can't find this command(?) or option(?) in the help pages. I am not even sure what part of the syntax it would be.

I don't want to ask for a lesson from anyone (time is so precious and valuable).  I just need a pointer to learn how to use "Surface."  Where is it defined?  What concepts in maple do I need to decode and also construct a Surface for the SurfaceInt command?  Do I just need to learn how to do paramterizations in Maple?

Thank You in advance

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