If f has a continuous second derivative on [a, b], then the error E in approximating f(x) dx by the Trapezoidal Rule is (b − a)³ |E| ≤ 12n² Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximating [ f(x) dx by Simpson's Rule is (b-a) 180n |Ε| = -[max (4)(x)], a ≤x≤ b. Use these to find the minimum n such that the error in the approximation of the definite integral is less than or equal to 0.00001 using the Trapezoidal Rule and Simpson's Rule. e²x dx n -[max IF"(x)], a ≤ x ≤ b. (a) the Trapezoidal Rule n= (b) Simpson's Rule

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