Find the Laplace transform of the following functions. a) f(t) = t sin t cos t. b) f(t) = t^4 e^{-2t} ?(t - 3).
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In this case, n = 1. Let g(t) = sin(t) * cos(t). Then, the Laplace transform of f(t) is the first derivative of the Laplace transform of g(t) with respect to s, multiplied by -1. Now, we can use the product-to-sum formula for trigonometric functions: sin(t) * Show more…
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