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.