X^X

integrate x^x
not possible?

let F(x) = f(x)x^x
    F'(x) = x^x

gives us a first order ODE to find f(x).

=> f'(x) + (1 + ln x ) f(x) = 1

couldn't be fucked to do anything actually interesting with it like fourier transform, trying to solve by an integrating factor led to the rather annoying integrating factor x^-x
Fuck yeah.

Might give it some more though later, have a degree to do though