Find the inverse Laplace transform for ( frac{s}{(s+2)^2+1} ).

1.	Find the inverse Laplace transform for ( frac{s}{(s+2)^2+1} ).
A.	[2e<sup>-2t</sup> cos u2061t + e<sup>-2t</sup> sin u2061t]u(t)
B.	[e<sup>-2t</sup> cos u2061t + 2e<sup>-2t</sup> sin u2061t]u(t)
C.	[2e<sup>-2t</sup> cos u2061t e<sup>-2t</sup> sin u2061t]u(t)
D.	[e<sup>-2t</sup> cos u2061t 2e<sup>-2t</sup> sin u2061t]u(t)
Answer» E.

Discussion

Given x(t)=e-t u(t). Find the inverse Laplace transform of e-3s X(2s).
Find the inverse Laplace transform for the function X(s) = ( frac{1+e^{-2s}}{3s^2+2s} ).
Find the inverse Laplace transform for the function X(s) = ( frac{2s-1}{s^2+4s+8} ).
Find the inverse Laplace transform for X(s) = (ln ( frac{s+a}{s+b}) ).
Find the inverse Laplace transform for X(s) = ( frac{s}{2s^2-8} ).
If F1 (s) = ( frac{1}{s+2} ) and F2 (s) = ( frac{1}{s+3} ), find the inverse Laplace transform of F(s) = F1 (s) F2 (s).
Find the inverse Laplace transform of X(s) = ( frac{s}{(s^2+a^2)^2} ).
Find the inverse Laplace transform of X(s) = ( frac{s}{s^2 a^2+b^2} ).
Find the inverse Laplace transform for ( frac{s}{(s+2)^2+1} ).
Find the inverse Laplace transform for ( frac{s}{(s+2)^2} ).