Evaluate the triple integral in different ordrer.

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I'm trying to solve this problem; enter image description here

First, I'm trying to solve this problem in order dzdydx. In my opinion, the triple integral would be $\int_0^1\int_0^1\int_0^\frac xy dzdydx=\int_0^1\int_0^1\frac xydydx=\int_0^1x[lny]_0^1$ which is diverge. Correct answer is 3/4 which is defintely converge. I think I had a mistake about the region but I can't find where is wrong. Could you please help me which part is mistake and give some tips about interchanging the orders?