Ejercicios de repaso sección 4.7

Resolver la transformada de integrales

1. $\hspace{0.5cm} \mathscr{L}\left\{1\ast t^3\right\}$
2. $\hspace{0.5cm} \mathscr{L}\left\{t^2\ast t e^t\right\}$
3. $\hspace{0.5cm} \mathscr{L}\left\{e^{-t}\ast e^tcos{t}\right\}$
4. $\hspace{0.5cm} \mathscr{L}\left\{e^{2t}\ast sen{t}\right\}$
5. $\hspace{0.5cm} \mathscr{L}\left\{\int_{0}^{t}{e^\tau d\tau}\right\}$
6. $\hspace{0.5cm} \mathscr{L}\left\{\int_{0}^{t}{cos{\tau}d\tau}\right\}$
7. $\hspace{0.5cm} \mathscr{L}\left\{\int_{0}^{t}{e^{-\tau}cos{\tau}d\tau}\right\}$
8. $\hspace{0.5cm} \mathscr{L}\left\{\int_{0}^{t}\tau sen\tau d\tau\right\}$
9. $\hspace{0.5cm} \mathscr{L}\left\{\int_{0}^{t}{\tau e^{t-\tau}d\tau}\right\}$
10. $\hspace{0.5cm} \mathscr{L}\left\{\int_{0}^{t}{sen\tau c o s{(}t-\tau)d\tau}\right\}$
11. $\hspace{0.5cm} \mathscr{L}\left\{t\int_{0}^{t}sen\tau d\tau\right\}$
12. $\hspace{0.5cm} \mathscr{L}\left\{t\int_{0}^{t}{\tau e^{-\tau}d\tau}\right\}$