I'm in the middle of this crazy exercise and I got stuck in this ugly integral in the bottom of the page, any ideas on how to solve it?
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What's the original question?
The question is to find the area of this surface (in the pic).
What it means, is to find the surface area of the cylinder between z=0 and z=sqrt(x^2+y^2).
(It is assume that )
Let be the disk .
Then what you are looking for is .
This means, and
Thus, we end up with
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