Ejercicios de repaso sección 4.2

Evaluar las transformadas inversas.

1. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{1}{s^2}-\dfrac{48}{s^5}\right\}$
2. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{\left(s+2\right)^2}{s^3}\right\}$
3. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{4}{s}+\dfrac{6}{s^5}-\dfrac{1}{s+8}\right\}$
4. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{1}{4s+1}\right\}$
5. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{4s}{4s^2+1}\right\}$
6. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s+1}{s^2+2}\right\}$
7. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{2s-6}{s^2+9}\right\}$
8. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\left(\dfrac{2}{s}-\dfrac{1}{s^3}\right)^2\right\}$
9. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s+1}{s^2-4s}\right\}$
10. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s}{s^2+2s-3}\right\}$
11. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s}{(s-2)(s-3)(s-6)}\right\}$
12. $\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s}{(s+2)(s^2+4)}\right\}$