Evaluate this integral $($a$)$ analytically, $($b$)$ single application of trapezoidal rule $($c$)$ composite trapezoidal rule $n=2$

${\displaystyle \underset{0}{\overset{4}{}}}(1-e^{-x})dx$

Determine the true percent relative error:

${}_t=\frac{\text{t}\text{r}\text{u}\text{e}\text{v}\text{a}\text{l}\text{u}\text{e}-\text{a}\text{p}\text{p}\text{r}\text{o}\text{x}\text{i}\text{m}\text{a}\text{t}\text{i}\text{o}\text{n}}{\text{t}\text{r}\text{u}\text{e}\text{v}\text{a}\text{l}\text{u}\text{e}}100\%$