Illustrustrate both of the following integrals. Then explain how to compute each.
\[ \int_{ 5 }^{ 10 } 2 \, \delta\left(t - 6\right) \,dt \hspace{2em} \int_{ 5 }^{ 10 } 2 \, \mathrm{u}\left(t - 6\right) \,dt \]
Answer:
\[ \int_{ 5 }^{ 10 } 2 \, \delta\left(t - 6\right) \,dt = 2 \hspace{2em} \int_{ 5 }^{ 10 } 2 \, \mathrm{u}\left(t - 6\right) \,dt = 8 \]