Convolution of the step function, three times

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nightshade123

Homework Statement

u(t) * u(t) * u(t)

* indicates convolution

i know u(t) * u(t) = t u(t)

so (t u(t)) * u(t) = [tex]\int[/tex] [tex]\tau[/tex] d [tex]\tau[/tex] limits of integration are 0 to t
so the answer is 1/2 t^2 u(t)?

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Redbelly98

Looks good to me