Just need someone to verify integral, please

I got this one, and tree times I check it, and found few mistakes, and I corrected them all, but now I'm not so sure if i got it all corrected. So if anybody could check it and tell me where do I do it wrong, I'll bee grateful :D

integral is :

by the region D defined by:

so I used :

and I got that my limits now are for from to , and for from to .

now my integral is:

so I now do one first...

so I get that one like this...

so my complete integral is :

(Thinking)(Worried)(Thinking)