Question:-
The Laplace Transform of a function f(t) = (1 / s2(s+1)) . the f(t) is
Option (A)
t – 1 + e-t
Option (B)
t + 1 + e-t
Option(C)
-1 + e-t
Option(D)
2t + et
Correct Option:
(A)
Question Solution:
Given f(t) = (1 / s2(s+1)) Converting into partial fractions, we have

F(t) = - (1/s) + (1/s2) + (1/(s+1)) = - 1 + t + e-t = t -1 + e-t
question-answer-faq-2363