MathGroup Archive 2012

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convolution involving UnitStep

h[t_] = Sin[t];
g[t_] = 2 UnitStep[t] - UnitStep[t - 1];
y[t_] = Integrate[h[t-s]g[s],{s,0,t}]

results in a conditional expression requiring t>1, but I want to
evaluate and plot t values from [0,1] as well as t>1.

I tried HeavisideTheta as well as := in the definition of y to no
avail. Thanks for any help...

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