If R Is the Region Bounded By $x ^ { 2 } + y ^ { 2 } = 9 , x \geq 0 , y \geq 0$

Multiple Choice

If R is the region bounded by $x ^ { 2 } + y ^ { 2 } = 9 , x \geq 0 , y \geq 0$ then $\iint$ _R $( 2 x + 5 y ) d A$ in polar form is

A) $\int _ { - \frac { \pi } { 2 } } ^ { \frac { \pi } { 2 } } \left[ \int _ { 0 } ^ { 3 } r ^ { 2 } ( 2 \cos \theta + 5 \sin \theta ) d r \right] d \theta$
B) $\int _ { - \pi } ^ { \pi } \left[ \int _ { 0 } ^ { 3 } r ^ { 2 } ( 2 \cos \theta + 5 \sin \theta ) d r \right] d \theta$
C) $\int _ { 0 } ^ { \frac { \pi } { 2 } } \left[ \int _ { 0 } ^ { 3 } r ^ { 2 } ( 2 \cos \theta + 5 \sin \theta ) d r \right] d \theta$
D) $\int _ { 0 } ^ { \pi } \left[ \int _ { 0 } ^ { 3 } r ^ { 2 } ( 2 \cos \theta + 5 \sin \theta ) d r \right] d \theta$
E) $\int _ { 0 } ^ { 2 \pi } \left[ \int _ { 0 } ^ { 3 } r ^ { 2 } ( 2 \cos \theta + 5 \sin \theta ) d r \right] d \theta$