3. (30 points) Evaluate the following integral: Page 5 of 6 L2 (2 + 5x + 9 x5) dx a) (4 points) analytically. b) (4 poin

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3 30 Points Evaluate The Following Integral Page 5 Of 6 L2 2 5x 9 X5 Dx A 4 Points Analytically B 4 Poin 1 (23 KiB) Viewed 27 times

3. (30 points) Evaluate the following integral: Page 5 of 6 L2 (2 + 5x + 9 x5) dx a) (4 points) analytically. b) (4 points) by single application of the trapezoidal rule. c) (4 points) by multiple-application trapezoidal rule, with n - 4 d) (4 points) by multiple-application Simpson's 1/3 rule, with n - 4. e) (4 points) by single application of Simpson's 38 rule. Spoints) by multiple-application Simpson's tuies with n = 5 (1.0., Simpson's 318 rule in conjunction with Simpson's 1/3 rule) 8) (5 points) For each of the numerical estimates (b) through (1) determine the percent relative error based on (a).