d804a3…: “As regards a loud book”

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When evaluating $\iint _R F(x,y)\d A$ using polar coordinates, $F(x,y)$ is replaced with $F\left (\answer {r\cos (\theta )},\answer {r\sin (\theta )}\right )$ and $\d A$ is replaced with $\answer {r d r d\theta }$ .