Use the results of Exercise 101 to show that the Laplace transform of x n is n!/s
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Use the results of Exercise 101 to show that the Laplace transform of xn is n!/sn+1.
Data From Exercise 101
The gamma function, which plays an important role in advanced applications, is defined for n ≥ 1 by
Transcribed Image Text:
= 5²°₁ I(n) = t-le-t dt
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