Example: After manipulating the following indefinite integral

Int(r^2, m)

I want to add ranges before evaluating the integral (for display purposes I keep the innert form). The op command or the IntegrationTools can be used for that (disassembling the expression and assembling it to new int expression) but require quite long code. Isn’t there a shorter  way to simply add ranges to the integration variable.

Update: Download Add_range.mw

I'm trying to get familiar with the Physics package. It's huge.  Since I know vector projection, I can guess what a projected vector might be. But what would a non-projected vector be in a physical context? 

A web search for non-projected vectors was unsuccessful.

My best guess is that non-projected vectors in Maple are those where no coordinate system is specified for vectors in an expression for a physical law. Like here in Maxwell equations. Am I correct?

To distinguish between these vectors the Physics[Vector] package uses an underscore “_”.

If my understanding is correct so far, I have three questions:

• Can I replace the unit vectors of implemented projected vectors to something else (e.g. _i to e__x)
• Is it possible to define projected vectors beyond what is implemented in Maple?
• Can I use the packages VectorCalculus and Physics[Vector] at the same time?

For the simulation of a microcontroller I am looking for discrete components like AD and DA converters, filters, differentiators, integrators.

The plant to be controlled is built with components from the MapleSim 2022 component library.

If there are no libraries that are compatible with the current version of MapelSim, I wonder if there is something that could be customized.

Any insights on the subject are welcome.

I was about to use a compact piece of code (subs(x =~ x(t), [d])) that makes names xi in an expression d functions of t (where i is a nonnegative integer); i.e. :
   xi -> xi(t)

The code works inside a procedure but not when passed as Maple input (see attachment).

What is the reason that it works at all?  Can my current way of replacing names by functions be improved?  

elementwise_equal.mw

Maple offers the dimension “lenght” whereas MapleSim offers two types.

What is the difference between the two types length and distance?

Can they always be used interchangeably?