X is a uniformly distributed random variable on a [-1, 1] range. (i.e. X is U(-1, 1))
Find the distribution of e^2X:
I feel like it has something to do with the uniform's relation to exponential function,
but i get stuck.
I begin by using inverse transform:
Fy(y) = Fx[ln(y)/2]
fy(y)...