convolution involving UnitStep

*To*: mathgroup at smc.vnet.net*Subject*: [mg126122] convolution involving UnitStep*From*: J Davis <texasautiger at gmail.com>*Date*: Thu, 19 Apr 2012 03:54:45 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

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...

**Follow-Ups**:**Re: convolution involving UnitStep***From:*Bob Hanlon <hanlonr357@gmail.com>

**Re: convolution involving UnitStep***From:*John Davis <texasautiger@gmail.com>

**Re: convolution involving UnitStep***From:*Bob Hanlon <hanlonr357@gmail.com>