Approximate the integral using Simpson's rule. Choose zz so that your error is certain to...

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Approximate the integral ² using Simpson's rule. Choose zz so that your error is certain to be less than 10. Compute the exact value of the integral and compare to your approximation. Simpson's Rule turns out to exactly integrate polynomials of degree three or less. Show that Simpson's rule gives the ezact value of p(z) dr where h 0 and p(r) ar³ t ba² + card. [Hint: First compute the exact value of the integral by direct integration. Then apply Simpson's rule with 72 2 and observe that the approximation and the exact value are the same.] 20 dar Explain why the following computation is wrong and determine the correct answer. (Try sketching or graphing the integrand to see where the problem lies.) 10 zdru - where we used the substitution (r) - 2r [1000 -(In 12 8. AREA In 4) Approximate the integral ² using Simpson's rule. Choose zz so that your error is certain to be less than 10. Compute the exact value of the integral and compare to your approximation. Simpson's Rule turns out to exactly integrate polynomials of degree three or less. Show that Simpson's rule gives the ezact value of p(z) dr where h 0 and p(r) ar³ t ba² + card. [Hint: First compute the exact value of the integral by direct integration. Then apply Simpson's rule with 72 2 and observe that the approximation and the exact value are the same.] 20 dar Explain why the following computation is wrong and determine the correct answer. (Try sketching or graphing the integrand to see where the problem lies.) 10 zdru - where we used the substitution (r) - 2r [1000 -(In 12 8. AREA In 4)

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Making an Integral approximation with Simpsons Rule We must locate in a way that 11 4 5 4 1 0 3 n 4 ... View the full answer