Problem

(Continuation) The composite Simpson’s rule for calculating can be written as...

(Continuation) The composite Simpson’s rule for calculating can be written as

where x_i = a +ih for 0?i ?n and h = (b −a)/n with n even. Its error is of the form Ch⁴. Show how two values of S_k can be combined to obtain a more accurate estimate of the integral.

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Solutions For Problems in Chapter 6.1

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