find marginal probability density function
Suppose random variables X, Y have joint probability density function
$f(x, y)$. How do i find the marginal probability density function of X ,
Y if the support is
$$ \begin{cases} 0 < x < 1 \\ x < y < 1 + x \end{cases} $$
I know that I need to integrate with respect to X to find P.D.F. of Y and
vice versa. But I don't know what the boundary of the integrals should be.
Thanks in advance.
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