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Signal and systems miscellaneous
  1. The Laplace transform of the function
    f(t) = t sin at
    1. 2as
      (s2 + a2)2
    2. 2a
      (s2 + a2)2
    3. 2a
      s2 + a2
    4. a
      s2 + a2
Correct Option: A

By using differentiation property

L{t sin at} =
– d
L {sin at}
ds

=
– d
a
ds s2 + a2

= a–
a
· 2as
(s2 + a2)2

=
2as
(s2 + a2)2

Hence, alternative (A) is the correct choice.


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