Use trigonometric substitubion to solve the intergral

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter36: Digital Micrometers
Section: Chapter Questions
Problem 12A
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Use trigonometnic substitubion to solue
the intergral
Transcribed Image Text:Use trigonometnic substitubion to solue the intergral
Let fCt) be a continuo us fünction defined
for
tzo. Assume that for a certain poribve
humber S, the integral
Converges and that e " F CE) >0 as t ->0.
De fine FCs)
(knoan as the laplace fransform of fCt)) by
-st
† Es) =
Transcribed Image Text:Let fCt) be a continuo us fünction defined for tzo. Assume that for a certain poribve humber S, the integral Converges and that e " F CE) >0 as t ->0. De fine FCs) (knoan as the laplace fransform of fCt)) by -st † Es) =
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