Let J = 0 ex2 dx and JN = N 0 ex2 dx. Although ex2 has no elementary antiderivative, it

Chapter 7, Problem 52

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Let J = 0 ex2 dx and JN = N 0 ex2 dx. Although ex2 has no elementary antiderivative, it is known that J = /2. Let TN be the Nth trapezoidal approximation to JN . Calculate T4 and show that T4 approximates J to three decimal places. 5

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