I have a joint PDF that has gone through some transformations of
$f(x,y) = 12x\displaystyle\frac{1-y}{y^3}$,$0
It definitely is a valid PDF as it has a double integration along its support that equals 1
I am trying to find the marginal PDF of $X$.
However integrating along y gives a definite integral that does not converge:
$\displaystyle\int_{0}^1 12x\displaystyle\frac{1-y}{x^3}dy$
Any ideas how else I can find that marginal PDF of $X$?