I am just a little confused by the wording of this problem and I am hoping that someone might have a better idea of how to go about solving this.
Suppose that where D is the disk . Now suppose that E is the disk and . What is the value of ?
I am still trying to figure out how to do transformations, so the first thing I did was define two variables and solved for x and y:
The Jacobian that I found from this ended up being but I am not sure where to go from here but this is what I attempted:
This is about as far as I am right now. I am uneasy about whether this is even right so far and how to set up this integral. Thanks for the help ahead of time, I appreciate it.
Thanks! Let me just make sure that I understand the final product. So because and the Jacobian result was 4, the two together yielded and because , the end result is 36 then. There would be no need to actually do the integration then right?
And again, thank you so much for being so quick.