I can remember from Differential Equations that any function convolved with a delta function results in a copy of the function located at the impulese.(adsbygoogle = window.adsbygoogle || []).push({});

That is, [tex]x(t) * \delta(t-5) = x(t-5)[/tex]

However, I can't remember why. This is really irritating me since I need to use this concept for my courses, yet I can't remember why this is true. This makes sense... but I get stuck when trying to evaluate the following integral:

[tex]\int_0^t \delta(t - \tau) d \tau[/tex]

Any help would be appreciated.

Thanks!

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# Convultion with Delta Function

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