7.4. Use the definition of the Laplace transform (7.4) to verify the following Laplace transforms: b s + b 2bs (a) L[sin (br)]= (b) [t sin br] = (c) L[tu(t)] (d) [te = (e) [ecos (bt)] = (n) [esin (br)] = (5 +6) 1 1 (s-a) s + a (s + a) + b b (sa) + b