Laplace Transform of cosh³2t| L{cosh³2t}| Laplace Transform of Hyperbolic Cosine | Engineering Maths

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Use the trigonometric identity and write
cosh^3(2t) = (cosh(6t) + 3cosh(2t))/4. (i.e. cos3A formula). Then take the Laplace transform. It is much easier and you can reduce the number of steps and complications.

AnirudhaBelligundu