Consider the error formulas.

$|E|\frac{(b-a{)}^3}{12n^2}[max|f^{\text{'}\text{'}}(x)|],axb$ Trapezoidal Rule

$|E|\frac{(b-a{)}^5}{180n^4}[max|f^{(4)}(x)|],axb$ Simpson's Rule

Use these to estimate the errors in approximating the integral, with $n=4,$ using the Trapezoidal Rule and Simpson's Rule

${\displaystyle \underset{0}{\overset{4}{}}}(x^{2}5x)dx$

$($a$)$ Trapezoidal Rule

$$

$($b$)$ Simpson's Rule

$$