Mickey Rats tries to find the Laplace Transform of f(t) = sin (4t) using the definition. Here is his work: By Definition [sin (4t)] = fest sin (4t)dt Lo e-st si sin (4t)dt= e-st cos (2t) + e-st cos ( 8 e-st sin (4t)dt + = 8 -st sin (4t)dt e-st Loode-st -st sin (4t)dt-½ 1 st e sin (4t)dt = 4 1 -st e sin (4t)dt = 8-

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