How large should n be to guarantee that the approximation to 02.45sin(x2)dx\displaystyle {\int_{{0}}^{{2.45}}}{\sin{{\left({x}^{{2}}\right)}}}{\left.{d}{x}\right.} using Simpson's rule is accurate to within 0.01? A graph of the fourth derivative of sin(x2)\displaystyle {\sin{{\left({x}^{{2}}\right)}}} follows.

n =   Remember your answer should be an even integer.