1 - dx is approximated using the trapezoid rule and Simpson's rule, the error is less than Use the error formulas to find the smallest n such that when 10-6. (The error formulas are given below.) When using the trapezoid rule, n must be at least The errors E in approximating f(x) dx are: (Ь —а)3 Trapezoid rule: E < - [max |f"(x)|] , a < x < b 12n? (Ь — а)5 Simpson's rule: |E < nax f(4) ,a < x < b 180n4

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