Another example of a weird technique I use. This time, these are the actual integrals, not some weird equations built from complex sums. This follows the rules, the first few positive even power and negative odd powers would have an integral containing the "next" curve in the complex series. Complex series in this case just referring to all the separate curves that cross through the x and y axis'. Cool thing though, any decimal has an integral that appears to be the last whole number integral becoming the next.
To show this, I have 2 sets of the same 4 equations (2 for negative powers, 2 for positive). "N" effects the top 4 equations, and can only be whole numbers, "M" effects the bottom and is there to separately show how decimal places effect the integral, and how it changes from one to the other. Also, within my "logic", each integral gets smaller, and larger. As you grow them, you see that the integral is nothing more than some iteration of it's derivative. The n^2 value did NOT come from trial and error, but instead is the common term I found through "sort of integration" for both the real and imaginary sums. I'm treating "N" as a sort of variable due to a single property I found where (1+xi) is a strict subset of (x+yi). Since I'm not integrating the surface itself, and I just want to find the way at which z^n grows, I treat n as a variable, and try to find an expression of n in both integral sums of z^n. This sounds like nonsense, yes, but it works in other places, and the powers are what truly control a complex equation, along with the slopes of their real and imaginary functions. So if I rewrite the first few in terms of n, and.... well if you read this far, I'm sure you can figure the rest out.
