For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the trigonometric identities first [ For example, cos(A+B) = cosAcosB - sinAsinB ] before using the Laplace formulas. For no.3, v2t means (v2) t Find L{f (t)}of the following functions. Note: a, b, e, k and are constants. 1. f(t)=+1 ,0s1<1 1. f(1)=- le', t21 2. f(t)=t cos 81 +2 3. f(t)=t®*+b +acosh 21 + bsinh 2t 2 4. f(!) =-cos" (21) +e² e

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