What are the incorrect limits on the integral in this random variables problem?

[vabamyyr]

Since I am noob in LaTex then ill post a document in Word.

 

[mathman]

The limits on your integral are incorrect. You have to divide the x range into 2 parts (0,z) and (z,1). For the first part the y range is (0,1). For the second part the y range is (0,z/x). The point being that y has an upper limit of min(1,z/x).