Express $f(t)$ in terms of unit step function and find its Laplace tr…

Previous year question for Numerical Methods & Transform Calculus.

Question

Express $f(t)$ in terms of unit step function and find its Laplace transform

$$f(t) = \begin{cases} \sin t, & 0 < t < \pi \\ 1, & t > \pi \end{cases}$$

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