Let f(x) = ln x for 1 ≤ x ≤ 3. Write down the formula for...

Let f(x) = ln x for 1 ≤ x ≤ 3. Write down the formula for Simpson's Rule with n = 4 that approximates the integral of ln x on [1, 3].

Without doing numerical calculations, tell whether in approximating the integral of ln on [1, 3] by the Trapezoidal Rule with n = 8, the value T the Trapezoidal Rule gives is larger than, or is smaller than, the integral. Justify your answer.

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milcah answered 1 year ago

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