Find the Laplace transform of f(t) = t^2 sin(3t) F(s) =
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We can use integration by parts twice to solve this integral. Let's set: $$ u = t^2 \quad \Rightarrow \quad du = 2t dt $$ $$ dv = e^{-st} \sin(3t) dt \quad \Rightarrow \quad v = \int e^{-st} \sin(3t) dt $$ To find v, we need to use integration by parts Show more…
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