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Hi chaguanas, I have an answer for you. I'm pretty tired, so will just attach what I did. If you need further clarification, let me know.
I broke the region into two parts and computed the integral as per my (scratchy) working on the other attached document.
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I'm dead tired, so check everything, please :) Let me know if you need me to clarify anything (I was going to type it out with explanations, but...dead tired :( ).
Thanks you're the best. My book is coming up with 576 so I wonder, choice of region. I know you're tired. This is something I can do myself. You have shown me how to break it up in regions. I would get back to you