How large should n be to guarantee that the approximation to 02ex2dx\displaystyle {\int_{{0}}^{{2}}}{e}^{{-{x}^{{2}}}}{\left.{d}{x}\right.} using Simpson's rule is accurate to within 1.0E-5? A graph of the fourth derivative of ex2\displaystyle {e}^{{-{x}^{{2}}}} follows.

n =   Remember your answer should be an even integer.