Prove that the expression ∫ s ∞ F ( u ) d u = L { f ( t ) t } .

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Chapter 12, Problem 25P

(a)

To determine

Prove that the expression ∫s∞F(u)du=L{f(t)t}.

(b)

To determine

Determine L{sinβt} using the Operational Transform given in Part(a).

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