Hey all! I'm new here and I've scanned some posts but couldn't find anything that could help me out with this problem. Here's what I'm stuck with:

Let X and Y be two random variables with a joint probability density function f given by:

f(x, y) =

1, if −y < x < y,

0, if 0 < y < 1.

Find the marginal probability density functions of X and Y.

I've been going at this for a while now and any help would be appreciated. Thanks in advance!