(2) Consider the following integral. 3 I = Ver • dx X et 2 Note that if f(x) then f'(x) < 5, F"(x) < 4, 5F(3)(x) < 6, an

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2 Consider The Following Integral 3 I Ver Dx X Et 2 Note That If F X Then F X 5 F X 4 5f 3 X 6 An 1 (155.49 KiB) Viewed 38 times

(2) Consider the following integral. 3 I = Ver • dx X et 2 Note that if f(x) then f'(x) < 5, F"(x) < 4, 5F(3)(x) < 6, and \f(4)(x) < 25 for all x € (1,3). Use the error bounds to determine the number of subintervals needed so that the Trapezoidal Method will approximate the value of the integral accurate to 10-8 Use the error bounds to determine the number of subintervals needed so that Simpson's Method will approximate the value of the integral accurate to 10-8.