I need the value of INTEGRAL(f(x), "path_name") as a function of distance along the path. The physical situation is where a coated substrate moves through a drying oven, and a solvent is baked out of the coating. The mass transfer rate varies with distance in the oven. I need to estimate the cumulative amount of solvent removed vs. distance into the oven so I can tell the location where the coating is dry.

In a previous forum discussion with another user, the Moderator recommended creating a variable, say fint, an equation like dx(fint) = f(x), and setting fint=0 at one end of the boundary.

However, implementing this has not given me reasonable or consistent results (sometime, inexplicably, I get no results - just fint = 0).

In the end I need to use values of fint(x) along a path in my calculations, so even if the calculations worked I'd need a way to extract the values of fint along the path. (In my current model the path is simply the x-axis.)

Is there any chance that a future update might include the ability to calculate the integral as a function of distance along a path?