1. The problem statement, all variables and given/known data Find the Laplace transform of each of the following functions: .... 2. f(t)=eatcos(bt) 3. f(t)=tn, were n is a positive integer 2. Relevant equations As you well know, taking the Laplace of f(t) means ∫f(t)e-stdt from 0 to ∞ 3. The attempt at a solution These problems are tripping me up, since integration by parts goes on forever. ∫eatcos(bt)e-stdt = ∫et(a-s)cos(bt)dt = I suppose I should call et(a-s) "dv" (?) ----> v = t(a-s)/(a-s) ----> u = cos(bt) ----> du = -bsin(bt) dt Still, I don't see where this gets me. Help, please!