Evaluate the Following Iterated Integral $\int_{1}^{2}\int_{0} ^ {3}\int_{0} ^ {x}(2ze^{-x^2} )d x d y d z$

Multiple Choice

Evaluate the following iterated integral. $\int_{1}^{2}\int_{0} ^ {3}\int_{0} ^ {x}(2ze^{-x^2} ) d x d y d z$

A) $2 \left( 1 - e ^ { - 3 } \right)$
B) $\frac { 3 } { 2 } \left( 1 - e ^ { - 9 } \right)$
C) $2 \left( 1 - e ^ { - 9 } \right)$
D) $\frac { 3 } { 2 } \left( e ^ { 9 } - 1 \right)$
E) None of the above