Set Up $\iint _ { R } f ( x , y ) d A$

Multiple Choice

Set up $\iint _ { R } f ( x , y ) d A$ as an iterated integral (or more, if necessary) where you integrate first with respect to $y$ , where $R = \{ ( x , y ) : 0 \leq x \leq 2 \text { and } 0 \leq \mathrm { y } \leq 2 x \}$

A) $\int _ { 0 } ^ { 2 } \int _ { 2 x } ^ { 2 } f ( x , y ) d y d x$
B) $\int_{-2}^{2 x^{2}} \int_{-2}^{{+2}}f(x, y) d y d x$

C) $\int _ { 0 } ^ { 2 } \int _ { - \sqrt { 4 - x ^ { 2 } } } ^ { \sqrt { 4 - x ^ { 2 } } } f ( x , y ) d y d x$
D) $\int _ { - 2 } ^ { 2 } \int _ { - \sqrt { 4 - x ^ { 2 } } } ^ { \sqrt { 4 - x ^ { 2 } } } f ( x , y ) d y d x$