find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (4t − 1)3 ℒ{f(t)} =

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: To evaluate the given integrals.

Q: =

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A: I am attaching image so that you understand each and every step.

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A: According to Bartleby guidelines I can only answer the first question of the given three questions.

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A: The objective is to find the area .