Students of math often get confused about what it means to rotate the integral function around the x-axis. This Customizer allows for the generation of 3d models depicting the integral of a square root in various configurations. As this is a work-in-progress, there may still be unknown bugs. Please comment if you encounter any of these bugs.
Note that the Customizer preview is inaccurate, and the final model looks very different than the image in the preview.

I also made a short video in POV-Ray using models from this: https://youtu.be/YdLTYTfzx34

For those interested, the files for POV-Ray are included here.

This is the length of the function, which ends up as the height of the model (in mm). If you would like this at a reasonable size, it is recommended to scale up the model after creating it.

The Axis is how far from the axis the function is placed before rotating. If Axis Position is set to below, the function is placed immediately above the axis. If Axis Position is set to above, the top of the function is placed as close to the axis as possible without crossing the axis.

This Parameter determines how much of the rotation is shown. If the Cut Angle is set to 360, the function wraps around completely. If set to less, sections of the function are removed.

The Customizer can optionally calculate and remove the integral of a secondary function from the main model. This is like taking the integral of sqrt(x)-sqrt(x-5). The size of the secondary function is input as a percentage of the first function size.