Page 5 3 L (2 + 3. (30 points) Evaluate the following integral: (2 + 5x + 9x5) dx a) (4 points) analytically. b) (4 poin
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Page 5 3 L (2 + 3. (30 points) Evaluate the following integral: (2 + 5x + 9x5) dx a) (4 points) analytically. b) (4 poin
Page 5 3 L (2 + 3. (30 points) Evaluate the following integral: (2 + 5x + 9x5) 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 3/8 rule. (5 points) by multiple-application Simpson's rules, with n = 5 (1.e., Simpson's 3/8 rule in conjunction with Simpson's 1/3 rule) g) (5 points) For each of the numerical estimates (b) through () determine the percent relative error based on (a).
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