Illustrustrate both of the following integrals. Then explain how to compute each.
\[ \int_{ 0 }^{ 6 } 5 \, \delta\left(t - 3\right) \,dt \hspace{2em} \int_{ 0 }^{ 6 } 5 \, \mathrm{u}\left(t - 3\right) \,dt \]
Answer:
\[ \int_{ 0 }^{ 6 } 5 \, \delta\left(t - 3\right) \,dt = 5 \hspace{2em} \int_{ 0 }^{ 6 } 5 \, \mathrm{u}\left(t - 3\right) \,dt = 15 \]