Convolution area property derivation

by mafra
Tags: convolution, derivation, property
mafra is offline
May16-12, 07:56 PM
P: 10
1. The problem statement, all variables and given/known data
Let y(t) be the convolution of x(t) with h(t), show that the area under y(t) is the product of the areas under x(t) and h(t)

2. Relevant equations
Convolution definition

3. The attempt at a solution
I found a derivation but it skips a step, uploaded it here:
htt p://i50.tiny
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Bohrok is offline
May17-12, 12:00 PM
P: 867
What's the step that you were wondering about?

mafra is offline
May17-12, 12:11 PM
P: 10
I don't get how it is possible to separate the integrals in "exchanging the order of integration"

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