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If f has a continuous second derivative on [a, b], then the error E in approximationg f(x) dx by the Trapezoidal Rule is IES ( b - a)3 [max If" (x) |], as xs b. 12n2 Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximationg f(x) dx by Simpson's Rule is IEls ( b - a) 5 180n 4 [max If ( 4) (x) | ], as x s b. Use these to find the minimum integer 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. (Vx + 2 dx (a) Trapezoidal Rule (b) Simpson's Rule