I'll use "L" to denote the Laplace Transform..I'm having trouble with acouple homework problems..any input would help

L{sin(2t)} and L{e^3tsin(2t)}

Can you check and see if my answers are correct

L{sin(2t)} = 2/(s^2+4)

L{e^3tsin(2t)} = 2/(s-3)^2 +4