The Iterated Integral $\int _ { 0 } ^ { 1 } \left[ \int _ { 0 } ^ { 1 } e ^ { x } d x \right] d y$

Multiple Choice

The iterated integral $\int _ { 0 } ^ { 1 } \left[ \int _ { 0 } ^ { 1 } e ^ { x } d x \right] d y$ is

A) $e + 2$
B) $e + 1$
C) $e - 1$
D) $e - 2$
E) $e$