Derive the frequency integration formula

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Reference no: EM13190257

Derive the frequency integration formula:
L[f(t)/t] = integral from s to inf (F(sigma) d sigma)

Hint: let L[f(t)/t] = G(s) and L[f(t)] = F(s).
Show that G'(sigma) = -F(sigma)
integrate from sigma = s to sigma = a and take the limit as a -> +inf

 

Reference no: EM13190257

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