You are mailing a package that weighs 5 pounds, and sending it first class. The post office charges $0.44 for the first ounce, a
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The Jacobian for this transformation is
with determinant , hence the area element becomes
Then the integral becomes
where is the unit circle,
so that
Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.
Then