Convolution of the step function, three times

[nightshade123]

Homework Statement

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

* indicates convolution

Homework Equations

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

The Attempt at a Solution

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

 

[Redbelly98]

Looks good to me