- #1
EugP
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Homework Statement
Evaluate:
[tex]\int_{-3}^{5} e^{-2t} sin(t-3) \delta(t-5) dt[/tex]
Homework Equations
[tex]\int_{-\infty}^{\infty} f(t) \delta(at-t_0) dt = \frac{1}{|a|}f(\frac{t_0}{a})[/tex]
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.