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Contents Index Calc Dark Mode Prev Up Next \(\newcommand{\R}{\mathbb{R}}
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Activity 12.2.3 .
Let
\(f(x,y) = x+y^2\) on the rectangle
\(R = [0,2] \times [0,3]\text{.}\)
(a) Evaluate
\(\displaystyle{\iint_R f(x,y) \, dA}\) using an iterated integral. Choose an order for integration by deciding whether you want to integrate first with respect to
\(x\) or
\(y\text{.}\)
(b) Evaluate
\(\displaystyle{\iint_R f(x,y) \, dA}\) using the iterated integral whose order of integration is the opposite of the order you chose in (a).
