Ok, let's use the brute approach. This is a continuation of my previuos post:
which is meant to analytically calculate the moments of the following pdf (this is my problem!):
I know that the even moments are:
In that previous post I'm using (unsuccesfully) the moment generating function:
You can see there why it does not take me to the expecetd results.
How can I get to the expected results?? Perhaps developing with Taylor??
I am required NOT to use higher level tools, like Laplace/Fourier, etc...