Find the Laplace transform of the function

Question

e^(-2t)sin(t+pi/3)

Answer 1

L[e^-2tsin(t + π/3)] = L(1/2e^-2tsint + √3/2e^-2tcost) = 1/[2(s + 2)²] + √3/2(s + 2)/[(s + 2)² + 1]