(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate:

[tex]\int_{-3}^{5} e^{-2t} sin(t-3) \delta(t-5) dt[/tex]

2. Relevant equations

[tex]\int_{-\infty}^{\infty} f(t) \delta(at-t_0) dt = \frac{1}{|a|}f(\frac{t_0}{a})[/tex]

3. The attempt at a solution

[tex]e^{-2(5)} sin (5-3) = e^{-10} sin (2)[/tex]

The solution given by the professor was:

[tex]\frac{1}{2} e^{-10} sin (2)[/tex]

I don't understand where he got the [tex]\frac{1}{2}[/tex] from.

If anyone could help me it would be greatly appreciated.

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# Homework Help: Delta Function Integration

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