Suppose the following data points are generated by a smooth function f(x):-1-2/3-1/31/32/31f(x)0 84150430001109011090.43000.8415Approximate s(x) dr using the composite Simpson's rule with n = 6 subintervals.0.4725O0.61850.47670 6204

Simpson's rule states that:∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where…

Answered: Suppose the following data points are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1 f(x) 0.8415 0.4300 0.1109 0.1109 0.4300 0.8415 Approximate fx)dx using the composite Simpson's rule with n = 6 subintervals. %3D O 0.4725 O 0.6185 O0.4767 0.6204