# Normalizing a Joint PDF

Discrete Mathematics Level pending

A certain joint PDF for two random variables $$X$$ and $$Y$$ is given by the expression:

$f_{XY} (x,y) = Cxy e^{-y^2}.$

where $$Y$$ is drawn from $$(0,\infty)$$ and $$X$$ is drawn from $$[0,1]$$. Find the normalization constant C.

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