Homework Statement
The joint probability density function of ##X## and ##Y## is given by $$f(x,y) = \frac{1}{8}(y^2 - x^2)e^{-y},\,\,\,\, x \in\,[-y,y]\,\,,y \in\,(0, \infty)$$
Compute the marginal densities of ##X## and ##Y##.
The Attempt at a Solution
I know the defintions are $$...