Integrate the Function F Over the Given Region $f ( x , y ) = \sqrt { x } + \sqrt { y }$

Multiple Choice

Integrate the function f over the given region.
- $f ( x , y ) = \sqrt { x } + \sqrt { y }$ over the rectangle $0 \leq x \leq 1,0 \leq y \leq 1$

A) $\frac { 1 } { 3 }$
B) $\frac { 4 } { 3 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 8 } { 3 }$