題組內容

3. Let $f(x) = \frac{1}{1 + x^2}$, $0 \leq x \leq 1$ and $P = \{0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1\}$ be a partition of $[0, 1]$.

(b) (6%) Approximate \( \int_0^1\frac{1}{1 + x^2} dx \) by the Simpson's rule with \( n = 4 \) and round to the third decimal place.