Apply Simpsons Rule to the following integrals. It is easiest to obtain the Simpsons Rule approximations from

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Apply Simpson’s Rule to the following integrals. It is easiest to obtain the Simpson’s Rule approximations from the Trapezoid Rule approximations. Make a table similar to Table 7.8 showing the approximations and errors for n = 4, 8, 16, and 32. The exact values of the integrals are given for computing the error.

Data from Table 7.8

Error in T(n) Error in S(n) S(n) T(n) 0.25904504019141 п 4 0.00520 0.26423805546593 0.26293980164730 0.00130 0.00000306


3e 3* dx = 1 – e 18 = 1.000000

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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