Calculate the Following Integral Exactly $\pi$ $\sqrt { 2 }$ , and So On

Multiple Choice

Calculate the following integral exactly.(Your answer should not be a decimal approximating the true answer, but should be exactly equal to the true answer.Your answer may contain e, $\pi$ , $\sqrt { 2 }$ , and so on.) $\int _ { 3 } ^ { 4 } \int _ { 0 } ^ { y } y ^ { 2 } e ^ { x y } d x d y$

A) $\frac { 1 } { 2 } \left( - 7 - e ^ { 9 } + e ^ { 16 } \right)$
B) $\frac { 1 } { 2 } \left( 25 - e ^ { 9 } + e ^ { 16 } \right)$
C) $\frac { 1 } { 2 } \left( - 7 + e ^ { 9 } - e ^ { 16 } \right)$
D) $\frac { 1 } { 3 } \left( - 7 - e ^ { 9 } + e ^ { 16 } \right)$