Calculate Energy of Signal x(t) = e(-2t) * u(t)

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SUMMARY

The discussion focuses on calculating the energy of the signal defined as x(t) = e^(-2t) * u(t). The energy Ex is determined using the integral Ex = ∫ x^2(t) dt. Participants clarify the squaring of the exponential function, leading to the expression (e^(-2t))^2 = e^(-4t). This simplification is crucial for correctly evaluating the energy of the signal.

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Homework Statement



x(t) = e(-2t) * u(t)

Ex = x2(t) dt

Attached is the work I have done. Got stuck towards the end.
 

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(e^{-2x})^2 = e^{-2x}e^{-2x}=e^{-2x-2x}=e^{-4x}
or you can use the power property associated with exponents and instantly say
(e^{-2x})^2=e^{2(-2x)}=e^{-4x}
I'm assuming the exponential being squared is what messed you up, and I'm assuming you can take it from here.
 

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