[Fractint] Integration under differentiation .

Lets examine a very basic differential equation : y' - fn1(x) = 0 this is a test condition that we're interested in , we might even relax this to : | y' - fn1(x) | < epi , where epi is a small tolerance . We're quite familiar with this in fractint . Now suppose that we're able to generate y' and y , as iterated functions . Then when the aforementioned condition is satisfied we have a value for the integral of fn1(x) at x = Pixel ; this being y . As available , via an earlier post of mine , a general formula for finding the derivative of an iterated function . Initially this might just be examined as a fractal . At this stage I really don't know what this might produce ; maybe some interesting fractals .