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Contents Index Calc Dark Mode Prev Up Next \(\newcommand{\R}{\mathbb{R}}
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Activity 12.5.2 .
Let
\(f(x,y) = x+y\) and
\(D = \{(x,y) : x^2 + y^2 \leq 4\}\text{.}\)
(a) Sketch the region
\(D\) and then write the double integral of
\(f\) over
\(D\) as an iterated integral in rectangular coordinates.
(b) Write the double integral of
\(f\) over
\(D\) as an iterated integral in polar coordinates.
(c) Evaluate one of the iterated integrals. Write a couple sentences to explain your answer in the context of a double integral (as either a signed volume or an average value).
