Order of integration has never been my forte. I combines the two things I hate the most...shapes...and inequalities :p.

Ok so I don't understand what I am doing wrong here.

Change the order of integration

So

and

and I can see that from the picture that the outer bound should be

But could someone give me a quick run through on how to manipulate the inequalities?

I know the first part is wrong and the second right, but if you wouldn't mind doing both.