Find the Laplace transform of f(x)=x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Find the Laplace transform of f(x)=x

Exercises 61–64: Laplace transforms. Let f be continuous on
[0, o0). The Laplace transform of f is the function F defined by
setting
roo
F(6) = .
e-sx f(x) dx.
Transcribed Image Text:Exercises 61–64: Laplace transforms. Let f be continuous on [0, o0). The Laplace transform of f is the function F defined by setting roo F(6) = . e-sx f(x) dx.
The domain of F is the set of numbers s for which the improper
integral converges. Find the Laplace transform F of each of the
following functions specifying the domain of F.
Transcribed Image Text:The domain of F is the set of numbers s for which the improper integral converges. Find the Laplace transform F of each of the following functions specifying the domain of F.
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