Solved: Use the Composite Simpson's rule with n = 4, 6, 8,... , until successive

Chapter 4, Problem 8

(choose chapter or problem)

Use the Composite Simpson's rule with n = 4, 6, 8,... , until successive approximations to the following integrals agree to within 10-6 . Determine the number of nodes required. Use the Adaptive Quadrature Algorithm to approximate the integral to within 10~6 , and count the number of nodes. Did Adaptive quadrature produce any improvement? a. / a 2 cos a dx b. / a 2 sin a dx

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