... fill-in from post 6

Wrote

https://en.smath.com/forum/yaf_postsm71566_how-to-integrate-functions-with-conditions-using-Maxima.aspx#post71566

There you don't show the roughness value. Notice that the min(1,cos(theta)) it's cos(theta). Also, there the integration about y it's just 2*pi*int around x.



Alvaro.

Wrote

but I need a x != 0 condition, I don't think I can stitch together x > N conditions without a boolean OR to represent x != 0 somehow. (or at least I can't think of a way to do so)

Don't know if this can be plotable or what you want. But it has your x!=0 condition.
Actually Razonars functions are more correct way to this calculation.
Yet this is a smaller and lazy version.

Regards

Wrote

Don't know if this can be plotable

a double integration over range of integration,
will invariably plot a 2D matrix ... therefore an image.
Just to re-comfort visitors ... [so much Fourier stuff].