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Table Notes 1. This list is not a complete listing of Laplace transforms and only contains some of the more commonly used Laplace transforms and formulas.

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Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Inverse Trig Functions 1

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Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Inverse Trig Functions 1 22

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(alternate form) Definition of the Trig Functions ( )

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Table 1: Properties of Laplace Transforms

Table 1: Table of Laplace Transforms Number f(t) F(s) 1 δ(t)1 2 us(t) 1 s 3 t 1 s2 4 tn n! sn+1 5 e−at 1 (s+a)6 te−at 1 (s+a)27 1 (n−1)!tn−1e−at 1 (s+a)n81−e−at a s(s+a) 9 e−at −e−bt b−a (s+a)(s+b)10 be−bt −ae−at (b−a)s (s+a)(s+b)11 sinat a s2+a2 12 cosat s s2+a2 13 e−at cosbt s+a (s+a)2+b214 e−at sinbt b (s+a)2+b215 1−e−at(cosbt+ a b sinbt) a2+b2 s[(s+a ...

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Calculus II - vulms.vu.edu.pk

1-Introduction VU