(Solved): A region \( R \) is shown. Decide whether to use polar coordinates or rectangular coordinates and ...

A region \( R \) is shown. Decide whether to use polar coordinates or rectangular coordinates and write \( \iint_{R} f(x, y) d A \) as an iterated integral, where \( f \) is an arbitrary continuous function on \( R \). D \[ \begin{array}{l} \int_{-3}^{3} \int_{-3}^{3} f(x, y) d y d x \\ \int_{-\pi / 4}^{3 \pi / 4} \int_{0}^{3} f(r, \theta) d r d \theta \\ \int_{-\pi / 4}^{3 \pi / 4} \int_{0}^{3} f(r \cos (\theta), r \sin (\theta)) r d r d \theta \\ \int_{-3}^{3} \int_{-x}^{3} f(x, y) d y d x \\ \int_{-3}^{3} \int_{1}^{x} f(x, y) d y d x \end{array} \]