0005.ptx

<exercise masterit-seed="2287" masterit-slug="D1" masterit-name="Discontinuous functions and distributions">
  <statement>
    <p>
      Illustrustrate both of the following integrals. Then explain how
        to compute each.
      </p>
    <me>
          \int_{ 3 }^{ 9 }
           2 \, \delta\left(t - 6\right) 
          \,dt
          \hspace{2em}
          \int_{ 3 }^{ 9 }
           2 \, \mathrm{u}\left(t - 6\right) 
          \,dt
      </me>
  </statement>
  <answer>
    <me>
          \int_{ 3 }^{ 9 }
           2 \, \delta\left(t - 6\right) 
          \,dt =  2 
          \hspace{2em}
          \int_{ 3 }^{ 9 }
           2 \, \mathrm{u}\left(t - 6\right) 
          \,dt =  6 </me>
  </answer>
</exercise>