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

[tex]

\int_{-\infty}^{\infty}{u(t)e^{-t}(\delta(t+1)+\delta(t-1))dt

[/tex]

2. Relevant equations

[tex]

\int_{-\infty}^{t}{u(t)dt = \left\{\begin{array}{cc}0,&\mbox{ if }

t< 0\\t, & \mbox{ if } t>0\end{array}\right.

[/tex]

[tex]

\int_{-\infty}^{\infty}{f(t)\delta(t-a)dt} = f(a)

[/tex]

3. The attempt at a solution

[tex]

\int_{-\infty}^{\infty}{u(t)e^{-t}(\delta(t+1)+\delta(t-1))dt

[/tex]

[tex]

= \int_{-\infty}^{\infty}{u(t)e^{-t}{\delta(t+1)dt}

+ \int_{-\infty}^{\infty}{u(t)e^{-t}{\delta(t-1)dt}

[/tex]

I obviously could use the second relevant equation if the u(t) term was not in these integrals.

I am stuck. Could someone point me in the right direction?

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# Homework Help: Signals - Integration of Heavyside Step & Dirac Delta Functions

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