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\begin{exerciseStatement}
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Illustrustrate both of the following integrals. Then explain how to compute each.
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\[
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\int_{ 3 }^{ 7 }
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3 \, \delta\left(t - 5\right)
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\,dt
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\hspace{2em}
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\int_{ 3 }^{ 7 }
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3 \, \mathrm{u}\left(t - 5\right)
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\,dt
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\]
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\end{exerciseStatement}
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\begin{exerciseAnswer}
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\[
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\int_{ 3 }^{ 7 }
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3 \, \delta\left(t - 5\right)
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\,dt = 3
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\hspace{2em}
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\int_{ 3 }^{ 7 }
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3 \, \mathrm{u}\left(t - 5\right)
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\,dt = 6 \]
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\end{exerciseAnswer}
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