get the lapace transform of f(X)=6sin2t-5cos2t
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Answer:
Laplace Transform of f(x) is
Step-by-step explanation:
Given function as :
f(x) = 6 Sin 2 t - 5 Cos 2 t
Now, Laplace transform of given function as
( 6 Sin 2 t - 5 Cos 2 t ) = { 6 Sin 2 t - 5 Cos 2 t } dt
I = Sin 2 t dt
Or I = [ Sin 2 t ] o to ∞
i.e I = 0 + [ - Cos 2 t ] o to ∞ + Sin 2 t dt
Or, I = - I
Hence, I =
Similarly
Cos 2 t dt =
So, ( 6 Sin 2 t - 5 Cos 2 t ) = 6 × ( ) - 5 × ( )
I.e Laplace Transform of f(x) = -
Hence, Laplace Transform of f(x) is Answer
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