Chapter 5.2, Problem 16E

Use the fact that the error term of Boole’s Rule is proportional to $f^{\left(6\right)}\left(c\right)$ to find the exact error term, by the following strategy: Compute Boole’s approximation for ${\displaystyle {\int }_0^{4h}{x}^{6}dx}$, find the approximation error, and write it in terms of $h$ and $f^{\left(6\right)}\left(c\right)$.