The continuous-time signals are given as follows

\(x\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {\sin t,\;\;\;0 \le t \le 2\pi }\\ {0,\;\;\;elsewhere} \end{array}} \right.\)

And \(y\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {1,\;\;\;t \ge 0}\\ {0,\;\;\;\;t < 0} \end{array}} \right.\)

Convolution z(t) = x(t) * y(t) is

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