Using the unit step function, find the Laplace transform of

Using the unit step function, find the Laplace transform of
f(t)= cos𝑡, 0 ≤ 𝑡 ≤ 𝜋
cos2𝑡 , 𝜋 ≤ 𝑡 ≤ 2𝜋
cos3𝑡 , 𝑡 ≥ 2𝜋

Answer:-

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