Find the Laplace transform of
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Step-by-step explanation:
Recall that the Laplace transform of a function is F(s)=L(f(t))=∫∞0e−stf(t)dt. Usually, to find the Laplace Transform of a function, one uses partial fraction decomposition (if needed) and then consults the table of Laplace Transforms.
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- First multiply f(t) by e⁻ˢᵗ, s being a complex number (s = σ + j ω).
- Integrate this product w.r.t time with limits as zero and infinity. This integration results in Laplace transformation of f(t), which is denoted by F(s).
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