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 xis n!/sn+1.


Data From Exercise 101

The gamma function, which plays an important role in advanced applications, is defined for n ≥ 1 by

= 5 I(n) = t-le- dt

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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