what is the value of ∫∞−∞ δ(t+2)e^(−2t)u(t)dt?

Expert Solution

Solution :

Given integral

we know that the sampling property of impulse function is

convert equation(1) in equation(2) as show below

where x(t)=e^-2tu(t).......................(4)

using equation(2),equation(3) becomes

from equation(4),equation(5) becomes

since u(t)=0 for t<0 ,i.e,u(-2)=0 then

Colby Messinger answered 2 years ago

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