Help with homework

I’m really not sure what to do with this problem other than a double integral is required at some point. Any help would be greatly appreciated. Thank you! BB377940-851B-4DAF-9287-73CD2337B778.jpeg
I know I’m supposed to set up the problem like this:
P(X < 1 | Y = 1)

I tried to solve that by doing a double integral of the function with the bounds from 0 to 1 but that was wrong. I’m just very confused right now on this topic