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Assessed Exercises Sheet 1 Al.1. Use the substitution x = a sinh u to work out the integral (a? + 12)1/2 dec. [4] A1.2. (i)

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Assessed Exercises Sheet 1 Al.1. Use the substitution x = a sinh u to work out the integral (a? + 12)1/2 dec. [4] A1.2. (i) Show that the Laplace transform of f(x) = x is 2. (ii) Show by induction that the Laplace transform of This 1 (You may assume that Rnflesh -> 0 as R - co for s > 0.) [6]

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