Trapezoidal Rule In Exercises 21 and 22, use the Trapezoidal Rule with to approximate

Chapter 5, Problem 22

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Trapezoidal Rule In Exercises 21 and 22, use the Trapezoidal Rule with to approximate the definite integral. Compare the result with the exact value and the approximation obtained with and the Midpoint Rule. Which approximation technique appears to be better? Let f be continuous on and let n be the number of equal subintervals (see figure). Then the Trapezoidal Rule for approximating is b a 2n fx0 2fx1 . . . 2fxn1 fxn. b a fx dx 3 1 1 x2 dx

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