Question: Recall that when Sm denotes the n-interval approximation for I = .b [ f ( x ) a whenever L | f (4) (x)|

Recall that when Sm denotes the n-interval approximation for I = .b

Recall that when Sm denotes the n-interval approximation for I = .b [ f ( x ) a whenever L | f (4) (x)| on (a,b). dx from Simpson's Rule, one has L (b-a)5 |I Sn| 180 n4 Determine the number of intervals n for which Sn approximates the exact value 1 with an absolute error of at most 3 1013 1/5 I = 10 (* In x) dx 1/10 Remark: You can (and should) do this without a calculator. Give the smallest even integer n that works, according to the error formula. n =

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