Use Simpsons Composite rule with n = 4, 6, 8, ... , until successive approximations to

Chapter 4, Problem 5

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Use Simpsons Composite rule with n = 4, 6, 8, ... , until successive approximations to the following integrals agree to within 106. Determine the number of nodes required. Use the Adaptive Quadrature Algorithm to approximate the integral to within 106, and count the number of nodes. Did Adaptive quadrature produce any improvement? a. 0 x cos x2 dx b. 0 x sin x2 dx c. 0 x2 cos x dx d. 0 x2 sin x dx

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