0001.ptx

<exercise masterit-seed="0932" 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_{ 2 }^{ 8 }
           3 \, \delta\left(t - 5\right) 
          \,dt
          \hspace{2em}
          \int_{ 2 }^{ 8 }
           3 \, \mathrm{u}\left(t - 5\right) 
          \,dt
      </me>
  </statement>
  <answer>
    <me>
          \int_{ 2 }^{ 8 }
           3 \, \delta\left(t - 5\right) 
          \,dt =  3 
          \hspace{2em}
          \int_{ 2 }^{ 8 }
           3 \, \mathrm{u}\left(t - 5\right) 
          \,dt =  9 </me>
  </answer>
</exercise>