Show that the function f (t) 1 t 2 has no laplace transform for this, write L 1 t 2 as the sum of two improper integrals, then show that at least one of the integrals diverges 1 P e st dt t2 est dt t2 0, 1 8

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Question: Show that the function f (t) = 1/t 2 has no laplace transform. for this, write L [1/t 2 ] as the sum of two

Show that the function f (t) = 1/t² has no laplace transform. for this, write L [1/t²] as the sum of two improper integrals, then show that at least one of the integrals diverges

{1/P} = e-st -dt+ t2 est -dt t2 0, 1 8

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