# Ratio of uniforms method proof

Hi everybody:
I am trying to solve this question:
[URL=http://imageshugger.com/][PLAIN]http://imageshugger.com/images/wviidazp3mf06ej32.jpg[/URL]

u=y
v=xy

Calculated the Jacobian, which is |-y|=y
then as I know that is unnormalized I need to normalized first using a double integral as a normalizing factor, the thing is that I am stuck there
please could you help me to get the joint pdf of X and Y
thanks

EnumaElish