Question

Write the Laplace transform of the following

Answer 1

Explanation:

You must break the integral up on the discontinuities to take the Laplace Transform of a discontinuous function:

Lf(s)=∫∞0f(t)e−stdt=∫10tf(t) for t < 1e−stdt+∫∞1(2−t)f(t) for t > 1e−stdt=⋯

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