Chapter 9.4, Problem 74E

To determine

To evaluate: The terms $f^{\left(3\right)}\left(0\right)$ and $f^{\left(4\right)}\left(0\right)$ of the function $f\left(x\right)={\displaystyle \underset{0}{\overset{x}{\int }}\frac{1}{1+t^4}dt}$.