Chapter 7.3, Problem 28E

To determine

(a)

To verify:

$L\left\{\frac{f\left(t\right)}{t}\right\}\left(s\right)={\displaystyle {\int }_s^{s}F\left(u\right)du}$ for the function $f\left(t\right)=t^5$.

To determine

(b)

To verify:

$L\left\{\frac{f\left(t\right)}{t}\right\}\left(s\right)={\displaystyle {\int }_s^{s}F\left(u\right)du}$ for the function $f\left(t\right)=t^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$.