If there is a function, (for example, a sine, as in the example), is there a simple way of creating a coordinate system in which the integrals of the function are split equally?
What I am looking to achieve is for the area to be split into equal parts, as in the below image. (not to scale, I drew the lines manually just to illustrate the concept).
Or, even more simply, is there a function f which gives me where I have to split the x axis, given that I want the function g to be split into n equal-area parts?
I'm considering developing my own (possibly needlessly overcomplicated) solution, but before that, I would like to know whether this is a known problem with an already existing solution.