If $\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { 3 + x } + \sqrt { 1 + x } } d x = a + b \sqrt { 2 } + c \sqrt { 3 }$, where $a , b , c$ are rational numbers, then $2 a + 3 b - 4 c$ is equal to: (1) 4 (2) 10 (3) 7 (4) 8
If $\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { 3 + x } + \sqrt { 1 + x } } d x = a + b \sqrt { 2 } + c \sqrt { 3 }$, where $a , b , c$ are rational numbers, then $2 a + 3 b - 4 c$ is equal to:\\
(1) 4\\
(2) 10\\
(3) 7\\
(4) 8