Solution
= Solution
At $q=4$,
$$
\boxed{Q(g)=\frac{1+1/4}{36}=\frac5{144},\qquad I(g)=\frac1{30}.}
$$
This is an overestimate, with signed <quadrature error>
$$
Q(g)-I(g)=\frac{25-24}{720}=\frac1{720}.
$$
The <relative error> is $(1/720)/(1/30)=1/24$, approximately $4.17\%$. The <quartic polynomial> $y^4$ lies beyond the <degree of precision of a quadrature rule> of <Simpson's rule>, so the exactness of the previous cases no longer applies.