Answer
False
Work Step by Step
The first shifting Theorem can be expressed as:
When $L[f]=F(s)$, then we have: $L[e^{at}f(t)]=F(s-a)$
Now, $L^{-1} [F(s)]=L^{-1} [\dfrac{3}{(s+1)^{2}+36}]=0.5 e^{t} \sin (6t)$
Therefore, the given statement is $\bf{False}$.
